FC1002 Mathematics for Physics

Faculty of Education
Autumn 2024
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
PhDr. Mgr. Michaela Drexler (lecturer)
Mgr. Ivana Medková, Ph.D. (lecturer)
doc. RNDr. Petr Sládek, CSc. (lecturer)
PhDr. Jan Válek, Ph.D. (assistant)
Guaranteed by
doc. RNDr. Petr Sládek, CSc.
Department of Physics, Chemistry and Vocational Education – Faculty of Education
Contact Person: Jana Jachymiáková
Supplier department: Department of Physics, Chemistry and Vocational Education – Faculty of Education
Prerequisites (in Czech)
SOUHLAS
Course Enrolment Limitations
The course is only offered to the students of the study fields 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
The course provides the basics arranged knowledge of higher mathematics. The emphasis is placed on the logical structure of the science disciplines and to acquire the knowledge and skills necessary for mastering the course of physics in high school.
Learning outcomes
At the end of the course the student will gain: Trivia: A comprehensive overview of knowledge on topics of vectors and differential and integral calculus of functions of one variable. Skills: Can use basic definitions and sentences and to make simple subsequent calculations, including application examples. Relate the subject matter physics to practical applications. Proving performed by a qualified estimate of value. Attitudes: To learn the values of objectivity and significance of scientific work.
Syllabus
  • Syllabus (after weeks or blocks): I. Coordinates, vectors. 1.Cartesian coordinates on the line, the plane and space, polar coordinates. 2. The term vector, vector space, sum of vectors, scalar and vector product, the concept of vector base. II. Functions of one variable 1. Graphs, basic properties of functions. 2. Some elementary functions. 3. The term limits and continuity. 4. Derivative. 5. Differential. 6. The concept of primitive functions, indefinite integral. 7. Calculation of indefinite integrals. 8. Definite integral and its calculation. III. Series and sequences. 1. Series and sequences. 2. Taylor´s expansion. Syllabus exercises (after weeks or blocks): In exercises are consolidated solution skills jobs to lecture themes: I. Coordinates vectors. First Cartesian coordinates on the line, the plane and space, polar coordinates. 2. The term vector, vector space, vector addition, scalar and vector product, the concept of vector base. II. Functions of one variable II. Functions of one variable 1. Graph functions, basic properties of functions, 2. Some elementary functions. 3. The term limits and continuity. Derivative fourth. 5th differential. 6. The concept of primitive functions, indefinite integral. 7. Calculation of indefinite integrals. 8th Definite integral and its calculation. III. Series and sequences. The first series and sequences. Second Taylor expansion.
Literature
    recommended literature
  • SLÁDEK, Petr and Václav VACEK. Matematika pro fyziky I a II. Elportál. Brno: Masarykova univerzita, 2009. ISSN 1802-128X. URL info
  • JIRÁSEK, František, Eduard KRIEGELSTEIN and Zdeněk TICHÝ. Sbírka řešených příkladů z matematiky. 2. nezm. vyd. Praha: Alfa, Státní nakladatelství technické literatury, 1981, 817 s., 30. info
Teaching methods
lectures and excercisses
Assessment methods
written and oral exam 3x partial written test, 50% of correct answers is needed to pass
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Information on the extent and intensity of the course: 12 hodin.
The course is also listed under the following terms Autumn 2017, Autumn 2018, Autumn 2019, autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2024/FC1002