MB102v Mathematics II

Faculty of Science
Spring 2012
Extent and Intensity
2/2. 4 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Jan Slovák, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 14:00–15:50 M4,01024, Thu 8:00–9:50 MS2,01022
  • Timetable of Seminar Groups:
MB102v/01: Thu 10:00–11:50 MS2,01022, J. Slovák
Prerequisites
High school mathematics.
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
Course objectives
The course Mathematics II, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite intergral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of infinite number series and power series, as well as with the elementary methods for solving simple differential equations. Also they will get acquainted with applications of such differential equations in physics, chemistry, and economics.
Syllabus
  • Polynomial interpolation, derivative of polynomials, cubic splines
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications
  • Infinite series and power series, Fourier series, integral transformations
  • Elementary differential equations and their applications
Literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. Online. second edition. Cambridge: Cambridge University Press, 2004. 1232 pp. ISBN 0 521 89067 5. [citováno 2024-04-23] info
  • Matematická analýza pro fyziky.. Online. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001. v, 320 s. ISBN 80-85863-65-0. [citováno 2024-04-23] info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Online. Vyd. 1. Brno: Masarykova univerzita, 1998. 113 s. ISBN 8021019492. [citováno 2024-04-23] info
Teaching methods
Lecture about the theory with illustrative solved problems. Special illustrative solved problems given in a separate lecture. Seminar groups devoted to solving numerical problems.
Assessment methods
Two hours of lectures per week, two hours of demonstration of problems solutions, two hours of compulsory exerciser/seminar group. In the seminar groups there are usually 3-4 one hour exams during the semester. The final exam is two hours long and written. The results from seminar groups have partial effect on the final grade.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
  • Enrolment Statistics (recent)
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