F1422 Computing practice 1

Faculty of Science
Autumn 2010 - only for the accreditation
Extent and Intensity
0/3. 3 credit(s). Type of Completion: graded credit.
Teacher(s)
Mgr. Marek Chrastina, Ph.D. (lecturer)
prof. RNDr. Jana Musilová, CSc. (lecturer)
Guaranteed by
prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Marek Chrastina, Ph.D.
Prerequisites
It is recommended to master basic operations of differential and integral calculus on the secondary school level.
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
Course objectives
Routine numerical skills necessary for bachelor course of general physics and basic biophysics.
Syllabus
  • 1. Derivation and integral of one variable real function, practising of basic operations.
  • 2. Fundamentals of vector algebra in R-2 and R-3: vectors, vector calculus, scalar and vector product and their geometrical and physical interpretation, calculus in bases.
  • 3. Fundamentals of vector algebra in R-2 a R-3: transformation rules.
  • 4. Ordinary differential equations: separation of variables, first-order linear differential equations, physical applications (nuclear fission, absorption of radiation).
  • 5. Ordinary differential equations: linear equations of the second and higher order with the constant coefficients, physical applications (equations of a particle motion, harmonic oscillator, damped and forces oscillations).
  • 6. Some simple systems of equations of motion.
  • 7. Curvilinear coordinates.
  • 8. Curvilinear integral: curves, parametrisation, integral of the first type and its physical application (length, mass, centre of mass and moment of inertia of the curve), integral of the second type and its physical application (work along the curve).
  • 9. Scalar function of two and three variables: derivation in the given direction, partial derivations, gradient.
  • 10. Scalar function of two and three variables: total differential, existence of potential.
Literature
  • MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika pro porozumění i praxi I (Mathematics for understanding and praxis). Brno: VUTIUM, 2006, 281 pp. Vysokoškolské učebnice. ISBN 80-214-2914-3. info
  • KVASNICA, Jozef. Matematický aparát fyziky. Vyd. 2., opr. Praha: Academia, 1997, 383 s. ISBN 8020000887. info
Teaching methods
Seminar based on the solution of the typical problems.
Assessment methods
Final grade will be determinated from the sum of marks achieved from 3 particular written tests. 5 marks can be achieved in each particular test. Based on 'Studijní a zkušební řád Masarykovy univerzity', chapter 9, section 2 the attendance on schooling is required. The absence can be compensated by compensatory homework.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: every week.
Teacher's information
http://physics.muni.cz/~chm/
The course is also listed under the following terms Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, spring 2012 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.