Course Information

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
In-person direct teaching

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

RNDr. Bc. Iveta Selingerová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Mon 16:00–17:50 M3,01023

• Timetable of Seminar Groups:

M5180/01: Mon 18:00–18:50 M3,01023, I. Selingerová

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course, a student is acquainted with advantages and disadvantages of the methods.

Learning outcomes

At the end of the course, the student will be able to: solve numerical nonlinear equations, define numerical algorithms for interpolation, differentiation, and integration; explain advantages and disadvantages of the mentioned numerical methods; use the numerical methods for solving practical problems.

Syllabus

• Solving nonlinear equations - order of convergence, acceleration of convergence, methods for multiple roots, Quasi Newton's method, Steffensen's method
• Roots of polynomials - Sturm's theorem, double Newton's method, Maehly's method, Bairstow's method
• Interpolation - the error of the polynomial interpolation, iterated interpolation, Hermite interpolation polynomial
• Approximation - B-splines, B-spline curves, NURBS curves
• Numerical differentiation - Richardson extrapolation, continuation of curves
• Numerical integration - Gaussian quadratures, special quadrature formula (Lobatt formula, Chebyshev formula), Romberg quadrature formula, adaptive quadratures
• Iterative methods for systems of linear equations - Jacobi method, Gauss-Seidel method.

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture: 2 hours weekly, theoretical preparation.
Class exercise: 1 hour weekly. Excercise is focused on examples for practicing methods presented in the lecture.

Assessment methods

Active participation and successfully written test are required for credit.
The exam is written.
The conditions may be specified according to the evolution of the epidemiological situation and the applicable restrictions.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

Study Materials
The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

RNDr. Bc. Iveta Selingerová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Mon 8:00–9:50 M3,01023

• Timetable of Seminar Groups:

M5180/01: Mon 10:00–10:50 M3,01023, I. Selingerová

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course, a student is acquainted with advantages and disadvantages of the methods.

Learning outcomes

At the end of the course, the student will be able to: define numerical algorithms for interpolation, differentiation, and integration; explain advantages and disadvantages of the mentioned numerical methods; use the numerical methods for solving practical problems.

Syllabus

• Solving nonlinear equations - order of convergence, acceleration of convergence, methods for multiple roots, Quasi Newton's method, Steffensen's method
• Roots of polynomials - Sturm's theorem, double Newton's method, Maehly's method, Bairstow's method
• Interpolation - the error of the polynomial interpolation, iterated interpolation, Hermite interpolation polynomial
• Approximation - B-splines, B-spline curves, NURBS curves
• Numerical differentiation - Richardson extrapolation, continuation of curves
• Numerical integration - Gaussian quadratures, special quadrature formula (Lobatt formula, Chebyshev formula), Romberg quadrature formula, adaptive quadratures
• Solving systems of linear equations for special matrices - Cholesky's method, Crout's method

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture: 2 hours weekly, theoretical preparation.
Class exercise: 1 hour weekly. Excercise is focused on examples for practicing methods presented in the lecture.

Assessment methods

Active participation and successfully written test are required for credit.
The exam is written.
The conditions may be specified according to the evolution of the epidemiological situation and the applicable restrictions.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

doc. Mgr. Jan Koláček, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Tue 9:00–10:50 M5,01013

• Timetable of Seminar Groups:

M5180/01: Tue 11:00–11:50 M5,01013, I. Selingerová

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course, a student is acquainted with advantages and disadvantages of the methods.

Learning outcomes

At the end of the course, the student will be able to: define numerical algorithms for interpolation, differentiation, and integration; explain advantages and disadvantages of the mentioned numerical methods; use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial, Newton interpolation polynomial, the error of the polynomial interpolation,iterated inter- polation, Hermite interpolation polynomial, cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial, Richardson extrapolation
• Numerical integration-quadrature formulas, degree of exactness and error, Gaussian quadratures, Lobatto quadrature, Newton-Cotes quadratures composite quadratures, integrals with singularities, adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture: 2 hours weekly, theoretical preparation.
Class exercise: 1 hour weekly. Excercise is focused on examples for practicing methods presented in the lecture.

Assessment methods

Active participation and successfully written test are required for credit.
The exam is written.
The conditions may be specified according to the evolution of the epidemiological situation and the applicable restrictions.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

doc. Mgr. Jan Koláček, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Mon 8:00–9:50 M4,01024

• Timetable of Seminar Groups:

M5180/01: Mon 10:00–10:50 M4,01024, I. Selingerová

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course, a student is acquainted with advantages and disadvantages of the methods.

Learning outcomes

At the end of the course, the student will be able to: define numerical algorithms for interpolation, differentiation, and integration; explain advantages and disadvantages of the mentioned numerical methods; use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial, Newton interpolation polynomial, the error of the polynomial interpolation,iterated inter- polation, Hermite interpolation polynomial, cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial, Richardson extrapolation
• Numerical integration-quadrature formulas, degree of exactness and error, Gaussian quadratures, Lobatto quadrature, Newton-Cotes quadratures composite quadratures, integrals with singularities, adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture: 2 hours weekly, theoretical preparation.
Class exercise: 1 hour weekly. Excercise is focused on examples for practicing methods presented in the lecture.

Assessment methods

Active participation and successfully written test are required for credit.
The exam is written.
The conditions may be specified according to the evolution of the epidemiological situation and the applicable restrictions.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

doc. Mgr. Jan Koláček, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Tue 15:00–16:50 M2,01021

• Timetable of Seminar Groups:

M5180/01: Tue 17:00–17:50 M2,01021, I. Selingerová

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course, a student is acquainted with advantages and disadvantages of the methods.

Learning outcomes

At the end of the course, the student will be able to: define numerical algorithms for interpolation, differentiation, and integration; explain advantages and disadvantages of the mentioned numerical methods; use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial, Newton interpolation polynomial, the error of the polynomial interpolation,iterated inter- polation, Hermite interpolation polynomial, cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial, Richardson extrapolation
• Numerical integration-quadrature formulas, degree of exactness and error, Gaussian quadratures, Lobatto quadrature, Newton-Cotes quadratures composite quadratures, integrals with singularities, adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture: 2 hours weekly, theoretical preparation.
Class exercise: 1 hour weekly. Excercise is focused on examples for practicing methods presented in the lecture.
Teaching will take place online using MS Teams.

Assessment methods

A successfully written test is required for credit.
The exam is written.
The conditions may be specified according to the evolution of the epidemiological situation and the applicable restrictions.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

doc. Mgr. Jan Koláček, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Wed 8:00–9:50 M4,01024

• Timetable of Seminar Groups:

M5180/01: Wed 10:00–10:50 M4,01024, I. Selingerová

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course, a student is acquainted with advantages and disadvantages of the methods.

Learning outcomes

At the end of the course, the student will be able to: define numerical algorithms for interpolation, differentiation, and integration; explain advantages and disadvantages of the mentioned numerical methods; use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial, Newton interpolation polynomial, the error of the polynomial interpolation,iterated inter- polation, Hermite interpolation polynomial, cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial, Richardson extrapolation
• Numerical integration-quadrature formulas, degree of exactness and error, Gaussian quadratures, Lobatto quadrature, Newton-Cotes quadratures composite quadratures, integrals with singularities, adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture: 2 hours weekly, theoretical preparation.
Class exercise: 1 hour weekly. Excercise is focused on examples for practicing methods presented in the lecture.

Assessment methods

Lecture. Attendance of a class exercise is compulsory and a successful written test is required for a credit. The exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Mon 17. 9. to Fri 14. 12. Wed 8:00–9:50 M2,01021

• Timetable of Seminar Groups:

M5180/01: Mon 17. 9. to Fri 14. 12. Wed 10:00–10:50 M2,01021, I. Selingerová

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course, a student is acquainted with advantages and disadvantages of the methods.

Learning outcomes

At the end of the course, the student will be able to: define numerical algorithms for interpolation, differentiation, and integration; explain advantages and disadvantages of the mentioned numerical methods; use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial, Newton interpolation polynomial, the error of the polynomial interpolation,iterated inter- polation, Hermite interpolation polynomial, cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial, Richardson extrapolation
• Numerical integration-quadrature formulas, degree of exactness and error, Gaussian quadratures, Lobatto quadrature, Newton-Cotes quadratures composite quadratures, integrals with singularities, adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture: 2 hours weekly, theoretical preparation.
Class exercise: 1 hour weekly. Excercise is focused on examples for practicing methods presented in the lecture.

Assessment methods

Lecture. Attendance of a class exercise is compulsory and a successful written test is required for a credit. The exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Mon 18. 9. to Fri 15. 12. Thu 8:00–9:50 M2,01021

• Timetable of Seminar Groups:

M5180/01: Mon 18. 9. to Fri 15. 12. Thu 10:00–10:50 M2,01021, I. Selingerová

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course, a student is acquainted with advantages and disadvantages of the methods.

Learning outcomes

At the end of the course, the student will be able to: define numerical algorithms for interpolation, differentiation, and integration; explain advantages and disadvantages of the mentioned numerical methods; use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial, Newton interpolation polynomial, the error of the polynomial interpolation,iterated inter- polation, Hermite interpolation polynomial, cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial, Richardson extrapolation
• Numerical integration-quadrature formulas, degree of exactness and error, Gaussian quadratures, Lobatto quadrature, Newton-Cotes quadratures composite quadratures, integrals with singularities, adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture: 2 hours weekly, theoretical preparation.
Class exercise: 1 hour weekly. Excercise is focused on examples for practicing methods presented in the lecture.

Assessment methods

Lecture. Attendance of a class exercise is compulsory and a successful written test is required for a credit. The exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

Mgr. Jiří Zelinka, Dr. (lecturer)
RNDr. Bc. Iveta Selingerová, Ph.D. (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Mon 19. 9. to Sun 18. 12. Thu 10:00–11:50 M5,01013

• Timetable of Seminar Groups:

M5180/01: Mon 19. 9. to Sun 18. 12. Thu 12:00–12:50 M5,01013, J. Zelinka

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course a student is acquainted with advantages and diadvantages of the methods.At the end of this course students will be able to use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial, Newton interpolation polynomial, the error of the polynomial interpolation,iterated inter- polation, Hermite interpolation polynomial, cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial, Richardson extrapolation
• Numerical integration-quadrature formulas, degree of exactness and error, Gaussian quadratures, Lobatto quadrature, Newton-Cotes quadratures composite quadratures, integrals with singularities, adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture: 2 hours weekly, theoretical preparation.
Class excercise: 1 hour weekly. Excercise is focused on examples for practicing methods presented in the lecture.

Assessment methods

Lecture. Attendance of a class excercise is compulsory and a successful written test is required for a credit. Exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

Study Materials
The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

Mgr. Jiří Zelinka, Dr. (lecturer)
RNDr. Bc. Iveta Selingerová, Ph.D. (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Thu 12:00–13:50 M2,01021

• Timetable of Seminar Groups:

M5180/01: Mon 17:00–17:50 M6,01011, I. Selingerová
M5180/02: Mon 16:00–16:50 M6,01011, I. Selingerová

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course a student is acquainted with advantages and diadvantages of the methods.At the end of this course students will be able to use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial, Newton interpolation polynomial, the error of the polynomial interpolation,iterated inter- polation, Hermite interpolation polynomial, cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial, Richardson extrapolation
• Numerical integration-quadrature formulas, degree of exactness and error, Gaussian quadratures, Lobatto quadrature, Newton-Cotes quadratures composite quadratures, integrals with singularities, adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture: 2 hours weekly, theoretical preparation.
Class excercise: 1 hour weekly. Excercise is focused on examples for practicing methods presented in the lecture.

Assessment methods

Lecture. Attendance of a class excercise is compulsory and a successful written test is required for a credit. Exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

Study Materials
The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

Mgr. Jiří Zelinka, Dr. (lecturer)
RNDr. Bc. Iveta Selingerová, Ph.D. (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Wed 14:00–15:50 M1,01017

• Timetable of Seminar Groups:

M5180/01: Thu 18:00–18:50 M4,01024, I. Selingerová
M5180/02: Thu 19:00–19:50 M4,01024, I. Selingerová

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Applied Informatics (programme FI, B-AP)
• Applied Informatics (programme FI, N-AP)

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course a student is acquainted with advantages and diadvantages of the methods.At the end of this course students will be able to use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial, Newton interpolation polynomial, the error of the polynomial interpolation,iterated inter- polation, Hermite interpolation polynomial, cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial, Richardson extrapolation
• Numerical integration-quadrature formulas, degree of exactness and error, Gaussian quadratures, Lobatto quadrature, Newton-Cotes quadratures composite quadratures, integrals with singularities, adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture: 2 hours weekly, theoretical preparation. Class excercise: 1 hour weekly. Theoretical excercise focused on methods presented in the lecture is alternated by excercise in a computer room aimed at algoritmization and programming of presented methods.

Assessment methods

Lecture. Attendance of a class excercise is compulsory and a successful written test is required for a credit. Exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

Study Materials
The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)
RNDr. Bc. Iveta Selingerová, Ph.D. (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Tue 8:00–9:50 M1,01017

• Timetable of Seminar Groups:

M5180/01: Tue 13:00–13:50 M6,01011, I. Selingerová
M5180/02: Tue 12:00–12:50 M6,01011, I. Selingerová

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Applied Informatics (programme FI, B-AP)
• Applied Informatics (programme FI, N-AP)

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course a student is acquainted with advantages and diadvantages of the methods.At the end of this course students will be able to use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial, Newton interpolation polynomial, the error of the polynomial interpolation,iterated inter- polation, Hermite interpolation polynomial, cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial, Richardson extrapolation
• Numerical integration-quadrature formulas, degree of exactness and error, Gaussian quadratures, Lobatto quadrature, Newton-Cotes quadratures composite quadratures, integrals with singularities, adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture: 2 hours weekly, theoretical preparation. Class excercise: 1 hour weekly. Theoretical excercise focused on methods presented in the lecture is alternated by excercise in a computer room aimed at algoritmization and programming of presented methods.

Assessment methods

Lecture. Attendance of a class excercise is compulsory and a successful written test is required for a credit. Exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)
Mgr. Zdeňka Geršlová (seminar tutor)
RNDr. Bc. Iveta Selingerová, Ph.D. (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Tue 8:00–9:50 M1,01017

• Timetable of Seminar Groups:

M5180/01: Tue 16:00–16:50 M2,01021, I. Selingerová
M5180/02: Tue 17:00–17:50 M2,01021, I. Selingerová
M5180/03: Tue 18:00–18:50 M2,01021, I. Selingerová
M5180/04: Tue 19:00–19:50 M2,01021, I. Selingerová

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Applied Informatics (programme FI, B-AP)
• Applied Informatics (programme FI, N-AP)
• Mathematics (programme PřF, B-MA)
• Mathematics (programme PřF, N-MA)

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course a student is acquainted with advantages and diadvantages of the methods.At the end of this course a student will be able to use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation
• Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,integrals with singularities,adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture:2 hours weekly, theoretical preparation. Class excercise: 1 hour weekly. Theoretical excercise focused on methods presented in the lecture is alternated by excercise in a computer room aimed at algoritmization and programming of presented methods.

Assessment methods

Lecture. Attendance of a class excercise is compulsory and a successful written test is required for a credit. Exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

Study Materials
The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)
Mgr. Michaela Benešová (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Wed 8:00–9:50 M2,01021

• Timetable of Seminar Groups:

M5180/01: Thu 14:00–14:50 M3,01023, M. Benešová
M5180/02: Thu 15:00–15:50 M3,01023, M. Benešová

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Applied Informatics (programme FI, B-AP)
• Applied Informatics (programme FI, N-AP)
• Mathematics (programme PřF, B-MA)
• Mathematics (programme PřF, N-MA)

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course a student is acquainted with advantages and diadvantages of the methods.At the end of this course a student will be able to use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation
• Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,integrals with singularities,adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture:2 hours weekly, theoretical preparation. Class excercise: 1 hour weekly. Theoretical excercise focused on methods presented in the lecture is alternated by excercise in a computer room aimed at algoritmization and programming of presented methods.

Assessment methods

Lecture. Attendance of a class excercise is compulsory and a successful written test is required for a credit. Exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

Study Materials
The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)
Mgr. Jiří Zelinka, Dr. (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Thu 8:00–9:50 M1,01017

• Timetable of Seminar Groups:

M5180/01: Tue 9:00–9:50 M3,01023, J. Zelinka
M5180/02: Tue 11:00–11:50 M4,01024, J. Zelinka

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 7 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course a student is acquainted with advantages and diadvantages of the methods.At the end of this course a student will be able to use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation
• Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,integrals with singularities,adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture:2 hours weekly, theoretical preparation. Class excercise: 1 hour weekly. Theoretical excercise focused on methods presented in the lecture is alternated by excercise in a computer room aimed at algoritmization and programming of presented methods.

Assessment methods

Lecture. Attendance of a class excercise is compulsory and a successful written test is required for a credit. Exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

Study Materials
The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)
doc. Mgr. Jan Koláček, Ph.D. (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Tue 9:00–10:50 M1,01017

• Timetable of Seminar Groups:

M5180/01: Thu 16:00–16:50 M3,01023, Thu 16:00–16:50 MP1,01014, J. Koláček
M5180/02: Thu 15:00–15:50 MP1,01014, Thu 15:00–15:50 M3,01023, J. Koláček
M5180/03: Thu 17:00–17:50 M3,01023, Thu 17:00–17:50 MP1,01014, J. Koláček

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 7 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course a student is acquainted with advantages and diadvantages of the methods.At the end of this course a student will be able to use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation
• Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,integrals with singularities,adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture:2 hours weekly, theoretical preparation. Class excercise: 1 hour weekly. Theoretical excercise focused on methods presented in the lecture is alternated by excercise in a computer room aimed at algoritmization and programming of presented methods.

Assessment methods

Lecture. Attendance of a class excercise is compulsory and a successful written test is required for a credit. Exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

Study Materials
The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)
Mgr. Václav Pink, Ph.D. (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Tue 8:00–9:50 M1,01017

• Timetable of Seminar Groups:

M5180/01: Tue 11:00–11:50 MP1,01014, Tue 11:00–11:50 M4,01024, V. Pink
M5180/02: Tue 10:00–10:50 MP1,01014, Tue 10:00–10:50 M1,01017, V. Pink

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and inegral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 8 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course a student is acquainted with advantages and diadvantages of the methods.At the end of this course a student will be able to use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation
• Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,integrals with singularities,adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Assessment methods

Lecture and class excercise in a computer room. Attendance of a class excercise is compulsory and a successful written test is required for a credit. Exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

Study Materials
The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)
RNDr. Martin Tajovský (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Tue 8:00–9:50 N41

• Timetable of Seminar Groups:

M5180/01: Mon 15:00–15:50 N41, Mon 15:00–15:50 M3,04005 - dříve Janáčkovo nám. 2a, M. Tajovský
M5180/02: Mon 13:00–13:50 M3,04005 - dříve Janáčkovo nám. 2a, Mon 13:00–13:50 N41, M. Tajovský

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and inegral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 8 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline.The course is focused on numerical methods of mathematical analysis,namely on inerpolation,numerical differen- tiation,numerical integration.Advantages and disadvantages of methods mentioned above are shown. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process. Least-squares method. Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation. Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,inegrals with singularities,adaptive quadratures

Literature

• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• HOROVÁ, Ivana. Numerické metody. 1st ed. Brno: Masarykova univerzita, 1999, 230 pp. ISBN 80-210-2202-7. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info
• MATHEWS, John H. Numerical methods for mathematics, science and engineering. 2nd ed. Englewood Cliffs: Prentice-Hall International, 1992, 646 pp. X. ISBN 0-13-625047-5. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info

Assessment methods (in Czech)

Výuka : přednáška, cvičení v počítačové učebně,podmínka pro udělení zápočtu-účast na cvičení,získání dostatečného počtu bodů z pisemek během semestru Zkouška:písemná a (ústní).

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ivanka Horová, CSc.

Timetable

Tue 8:00–9:50 N21

• Timetable of Seminar Groups:

M5180/01: Mon 16:00–16:50 N41

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and inegral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 8 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline.The course is focused on numerical methods of mathematical analysis,namely on inerpolation,numerical differen- tiation,numerical integration.Advantages and disadvantages of methods mentioned above are shown. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process. Least-squares method. Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation. Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,inegrals with singularities,adaptive quadratures

Literature

• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• HOROVÁ, Ivana. Numerické metody. 1st ed. Brno: Masarykova univerzita, 1999, 230 pp. ISBN 80-210-2202-7. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info
• MATHEWS, John H. Numerical methods for mathematics, science and engineering. 2nd ed. Englewood Cliffs: Prentice-Hall International, 1992, 646 pp. X. ISBN 0-13-625047-5. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info

Assessment methods (in Czech)

Výuka : přednáška, cvičení v počítačové učebně,podmínka pro udělení zápočtu-účast na cvičení,získání dostatečného počtu bodů z pisemek během semestru Zkouška:písemná a (ústní).

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)
Mgr. Jiří Zelinka, Dr. (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ivanka Horová, CSc.

Timetable

Thu 13:00–14:50 N21

• Timetable of Seminar Groups:

M5180/01: Thu 8:00–8:50 M3,04005 - dříve Janáčkovo nám. 2a, J. Zelinka, Rozvrhově doporučeno pro 3. ročník Mo,Ms
M5180/02: Thu 9:00–9:50 M3,04005 - dříve Janáčkovo nám. 2a, J. Zelinka, Rozvrhově doporučeno pro FI

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and inegral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 8 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline.The course is focused on numerical methods of mathematical analysis,namely on inerpolation,numerical differen- tiation,numerical integration.Advantages and disadvantages of methods mentioned above are shown. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process. Least-squares method. Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation. Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,inegrals with singularities,adaptive quadratures

Literature

• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• HOROVÁ, Ivana. Numerické metody. 1st ed. Brno: Masarykova univerzita, 1999, 230 pp. ISBN 80-210-2202-7. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info
• MATHEWS, John H. Numerical methods for mathematics, science and engineering. 2nd ed. Englewood Cliffs: Prentice-Hall International, 1992, 646 pp. X. ISBN 0-13-625047-5. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info

Assessment methods (in Czech)

Výuka : přednáška, cvičení v počítačové učebně,podmínka pro udělení zápočtu-účast na cvičení,získání dostatečného počtu bodů z pisemek během semestru Zkouška:písemná a (ústní).

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)
Mgr. Martin Viščor (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ivanka Horová, CSc.

Timetable

Mon 14:00–15:50 N21

• Timetable of Seminar Groups:

M5180/01: Tue 10:00–10:50 B003, M. Viščor, Rozvrhově doporučeno: posluchači 3.r. odborné matematiky PřF
M5180/02: Tue 11:00–11:50 B003, M. Viščor, Rozvrhově doporučeno: posluchači FI

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and inegral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline.The course is focused on numerical methods of mathematical analysis,namely on inerpolation,numerical differen- tiation,numerical integration.Advantages and disadvantages of methods mentioned above are shown. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process. Least-squares method. Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation. Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,inegrals with singularities,adaptive quadratures

Literature

• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• HOROVÁ, Ivana. Numerické metody. 1st ed. Brno: Masarykova univerzita, 1999, 230 pp. ISBN 80-210-2202-7. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info
• MATHEWS, John H. Numerical methods for mathematics, science and engineering. 2nd ed. Englewood Cliffs: Prentice-Hall International, 1992, 646 pp. X. ISBN 0-13-625047-5. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info

Assessment methods (in Czech)

Výuka : přednáška, cvičení v počítačové učebně,podmínka pro udělení zápočtu je vypracování zápočtového příkladu (v MATLABu). Zkouška:písemná (test) a ústní.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)
doc. Mgr. Jan Koláček, Ph.D. (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ivanka Horová, CSc.

Timetable of Seminar Groups

M5180/01: No timetable has been entered into IS. J. Koláček, 3.r.M,Me 4.r.M,Mn
M5180/02: No timetable has been entered into IS. J. Koláček, informatika

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and inegral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 8 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline.The course is focused on numerical methods of mathematical analysis,namely on inerpolation,numerical differen- tiation,numerical integration.Advantages and disadvantages of methods mentioned above are shown. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process. Least-squares method. Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation. Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,inegrals with singularities,adaptive quadratures

Literature

• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• HOROVÁ, Ivana. Numerické metody. 1st ed. Brno: Masarykova univerzita, 1999, 230 pp. ISBN 80-210-2202-7. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info
• MATHEWS, John H. Numerical methods for mathematics, science and engineering. 2nd ed. Englewood Cliffs: Prentice-Hall International, 1992, 646 pp. X. ISBN 0-13-625047-5. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info

Assessment methods (in Czech)

Výuka : přednáška, cvičení v počítačové učebně,podmínka pro udělení zápočtu je vypracování zápočtového příkladu (v MATLABu). Zkouška:písemná (test) a ústní.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.

M5180 Introduction to Probability and Statistics

Extent and Intensity

2/2/0. 10 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Jaroslav Michálek, CSc. (lecturer)

Guaranteed by

doc. RNDr. Jaroslav Michálek, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Jaroslav Michálek, CSc.

Prerequisites (in Czech)

M4170 Measure and Integral

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Mathematics (programme PřF, M-MA)
• Mathematics (programme PřF, N-MA)

Syllabus (in Czech)

• Elementární pojetí pravděpodobnosti. Axiomatická definice pravděpodobnosti. Nezávislost a podmíněná pravděpodobnost. Náhodné veličiny a vektory. Distribuční funkce. Diskrétní a spojitá rozdělení. Rozdělení transformovaných veličin. Charakteristiky rozdělení. Podmíněná rozdělení. Podmíněná střední hodnota. Charakteristická funkce. Zákony velkých čísel. Centrální limitní věta. Základní pojmy matematické statistiky. Náhodné výběry z normálního rozdělení. Bodové a intervalové odhady. Testování statistických hypotéz.

Literature

• MICHÁLEK, Jaroslav. Úvod do teorie pravděpodobnosti a matematické statistiky. 1, vyd. Praha: SPN, 1984, 204 pp. Skriptum UJEP. info

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

M5180 Numerical Methods II

The course is not taught in Spring 2025

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

doc. Mgr. Jan Koláček, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Prerequisites (in Czech)

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Language of instruction

Czech

Further Comments

The course is taught annually.
The course is taught: every week.

M5180 Numerical Methods II

The course is not taught in Spring 2024

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

doc. Mgr. Jan Koláček, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Prerequisites (in Czech)

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Language of instruction

Czech

Further Comments

The course is taught annually.
The course is taught: every week.

M5180 Numerical Methods II

The course is not taught in Spring 2023

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

doc. Mgr. Jan Koláček, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Prerequisites (in Czech)

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Language of instruction

Czech

Further Comments

The course is taught annually.
The course is taught: every week.

M5180 Numerical Methods II

The course is not taught in Spring 2022

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

doc. Mgr. Jan Koláček, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Prerequisites (in Czech)

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Language of instruction

Czech

Further Comments

The course is taught annually.
The course is taught: every week.

M5180 Numerical Methods II

The course is not taught in Spring 2021

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

doc. Mgr. Jan Koláček, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Prerequisites (in Czech)

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Language of instruction

Czech

Further Comments

The course is taught annually.
The course is taught: every week.

M5180 Numerical Methods II

The course is not taught in Spring 2020

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

RNDr. Bc. Iveta Selingerová, Ph.D. (lecturer)

Guaranteed by

doc. Mgr. Jan Koláček, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Prerequisites (in Czech)

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 6 fields of study the course is directly associated with, display

Language of instruction

Czech

Further Comments

The course is taught annually.
The course is taught: every week.

M5180 Numerical Methods II

The course is not taught in Autumn 2002

Extent and Intensity

2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ivanka Horová, CSc.

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and inegral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 8 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline.The course is focused on numerical methods of mathematical analysis,namely on inerpolation,numerical differen- tiation,numerical integration.Advantages and disadvantages of methods mentioned above are shown. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process. Least-squares method. Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation. Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,inegrals with singularities,adaptive quadratures

Literature

• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• HOROVÁ, Ivana. Numerické metody. 1st ed. Brno: Masarykova univerzita, 1999, 230 pp. ISBN 80-210-2202-7. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info
• MATHEWS, John H. Numerical methods for mathematics, science and engineering. 2nd ed. Englewood Cliffs: Prentice-Hall International, 1992, 646 pp. X. ISBN 0-13-625047-5. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info

Assessment methods (in Czech)

Výuka : přednáška, cvičení v počítačové učebně,podmínka pro udělení zápočtu je vypracování zápočtového příkladu (v MATLABu). Zkouška:písemná (test) a ústní.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.
The course is taught: every week.

M5180 Numerical Methods II

The information about the term Autumn 2011 - acreditation is not made public

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)
Mgr. Jiří Zelinka, Dr. (lecturer)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Applied Informatics (programme FI, B-AP)
• Applied Informatics (programme FI, N-AP)
• Mathematics (programme PřF, B-MA)
• Mathematics (programme PřF, N-MA)

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course a student is acquainted with advantages and diadvantages of the methods.At the end of this course a student will be able to use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation
• Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,integrals with singularities,adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture:2 hours weekly, theoretical preparation. Class excercise: 1 hour weekly. Theoretical excercise focused on methods presented in the lecture is alternated by excercise in a computer room aimed at algoritmization and programming of presented methods.

Assessment methods

Lecture. Attendance of a class excercise is compulsory and a successful written test is required for a credit. Exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.
The course is taught: every week.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)
Mgr. Jiří Zelinka, Dr. (seminar tutor)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 7 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course a student is acquainted with advantages and diadvantages of the methods.At the end of this course a student will be able to use the numerical methods for solving practical problems.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process
• Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation
• Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,integrals with singularities,adaptive quadratures

Literature

• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
• MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info

Teaching methods

Lecture:2 hours weekly, theoretical preparation. Class excercise: 1 hour weekly. Theoretical excercise focused on methods presented in the lecture is alternated by excercise in a computer room aimed at algoritmization and programming of presented methods.

Assessment methods

Lecture. Attendance of a class excercise is compulsory and a successful written test is required for a credit. Exam is written.

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.
The course is taught: every week.

M5180 Numerical Methods II

Extent and Intensity

2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivanka Horová, CSc. (lecturer)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ivanka Horová, CSc.

Prerequisites

M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and inegral calculus of one and more variables. Basic knowledge of linear algebra.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 8 fields of study the course is directly associated with, display

Course objectives

This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline.The course is focused on numerical methods of mathematical analysis,namely on inerpolation,numerical differen- tiation,numerical integration.Advantages and disadvantages of methods mentioned above are shown. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented.

Syllabus

• Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process. Least-squares method. Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation. Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,inegrals with singularities,adaptive quadratures

Literature

• RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
• HOROVÁ, Ivana. Numerické metody. 1st ed. Brno: Masarykova univerzita, 1999, 230 pp. ISBN 80-210-2202-7. info
• PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info
• MATHEWS, John H. Numerical methods for mathematics, science and engineering. 2nd ed. Englewood Cliffs: Prentice-Hall International, 1992, 646 pp. X. ISBN 0-13-625047-5. info
• BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
• VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
• HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info

Assessment methods (in Czech)

Výuka : přednáška, cvičení v počítačové učebně,podmínka pro udělení zápočtu-účast na cvičení,získání dostatečného počtu bodů z pisemek během semestru Zkouška:písemná a (ústní).

Language of instruction

Czech

Follow-Up Courses

• M8113 Theory and Practice of Kernel Smoothing
• M9100 Numerical methods for solving ordinary differential equations
• M9140 Theoretical Numerical Analysis

Further Comments

The course is taught annually.
The course is taught: every week.

• Enrolment Statistics (recent)