VŠTE:SA_N_APM Applied mathematics and physic - Course Information
SA_N_APM Applied mathematics and physics
Institute of Technology and Business in České Budějovicewinter 2024
- Extent and Intensity
- 2/2/0. 5 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Karol Kampf, Ph.D. (seminar tutor)
RNDr. Dana Smetanová, Ph.D. (seminar tutor) - Guaranteed by
- prof. Ing. Radimír Novotný, DrSc.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice - Timetable of Seminar Groups
- SA_N_APM/P01: Mon 16:30–18:00 B5, K. Kampf
SA_N_APM/S01: Mon 18:10–19:40 B5, K. Kampf - Prerequisites
- OBOR(SLOGp)
Knowledge of basic mathematical calculus for universities. - Course Enrolment Limitations
- The course is offered to students of any study field.
- Course objectives supported by learning outcomes
- The aim of the course is to acquaint students with the possibilities of applications of functional mathematics, differential geometry and algebra in theoretical and applied physics, especially in engineering mechanics.
- Learning outcomes
- The student is able to orientate in differential geometry and algebra in theoretical and applied physics, especially in engineering mechanics.
- Syllabus
- 1. Geometrical and physical aspects and connections in infinitesimal calculus.
- 2. Brief review and summary of basic concepts of functional mathematics; function, limit, derivative, indefinite and definite integral.
- 3. Coordinate systems and forms of description of physical phenomena.
- 4. Fundamentals of vector algebra with emphasis on geometric and physical applications. Tensor concept.
- 5. Some geometrically and physically defined curves I.
- 6. Some geometrically and physically defined curves II.
- 7. Moment of inertia of bodies. Flywheels and their practical use.
- 8. Gyroscopic phenomena of transport machines in a turn .
- 9. Scalar and Vector Fields, gradient
- 10. Divergence and Gauss – Ostrogradski Theorem
- 11. Rotation and Stokes Theorem
- 12. Transmission of signals by optical fibres
- 13. The principle of satellite Earth observation.
- Literature
- required literature
- STRANG, G., Calculus, online https://ocw.mit.edu/ans7870/resources/Strang/Edited/Calculus/Calculus.pdf
- HALLIDAY, D. et al., 2020, Principles in Physics, John Wiley & Sons Inc, ISBN 9781119454014
- REKTORYS, K. Survey of Applicable Mathematics (Mathematics and Its Applications, 280/281) 2nd ed. 1994. Softcover reprint of the original 2nd ed. 1994 Edition, ISBN 978-9401583107
- recommended literature
- REKTORYS, K., 1998, Solving Ordinary and Partial Boundary Value Problems in Science and Engineering (Applied and Computational Mechanics) ISBN 978-0849325526
- Forms of Teaching
- Lecture
Seminar
Tutorial - Teaching Methods
- Frontal Teaching
Group Teaching - Cooperation
Brainstorming
- Student Workload
Activities Number of Hours of Study Workload Daily Study Combined Study Final exam 1 1 Preparation for Lectures 13 Preparation for Seminars, Exercises, Tutorial 26 65 Preparation for the Final Test 38 38 Attendance on Lectures 26 Attendance on Seminars/Exercises/Tutorial/Excursion 26 26 Total: 130 130 - Assessment Methods and Assesment Rate
- Test – final 100 %
- Exam conditions
- Test - final 100%. Overall classification of the subject (30 - 0): A 100 - 90, B 89.99 - 84, C 83.99 - 77, D 76.99 - 73, E 72.99 - 70, FX 69.99 - 30, F 29.99 - 0.
- Language of instruction
- Czech
- Teacher's information
- Attendance in lessons is defined in a separate internal standard of ITB (Evidence of attendance of students at ITB). It is compulsory, except of the lectures, for full-time students to attend 70 % lesson of the subjet in a semester.
- Enrolment Statistics (recent)
- Permalink: https://is.vstecb.cz/course/vste/winter2024/SA_N_APM