Course: Mathematics 2

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Course title Mathematics 2
Course code KMI/MAIIA
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 6
Language of instruction English
Status of course Compulsory, Compulsory-optional
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Vocetková Klára, Mgr. Ph.D.
  • Šulista Marek, PhDr. Ph.D.
Course content
1. Derivatives, more formal introduction, advanced theorems 2. Shape of function with all aspects - first part 3. Shape of function - second part 4. Integral, per partes and substitution 5. Integral, applications, revolution solids, average 6. Vector space, introduction, linear independence 7. Vector space, rank, basis, subspace 8. Matrices, determinants, matrix equation, inverse matrix, GEM 9. System of linear equations (also with infinite number of solutions) 10. Multivariate functions, partial derivatives, stationary points 11. Multivariate functions, free extremes 12. Multivariate functions, bounded extremes 13. Selected advanced chapters

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
  • Preparation for classes - 51 hours per semester
  • Class attendance - 42 hours per semester
  • Preparation for credit - 40 hours per semester
  • Preparation for exam - 35 hours per semester
Learning outcomes
It is the second part of the course of Engineering Mathematics. It is targeted at the fundamenals of the differential and integral calculus of one real variable and the differential calculus of multi-variate functions and linear algebra. Applications in economics are emphasised.
The student will understand the basic concepts of differential and integral calculus and linear algebra. He/she will perform the basic techniques of differentiation and integration and their applications. He/she will solve optimisation problems includeing multivariete problems.
Prerequisites
Student has to know basics of calculus and linear algebra. Prerequisites: KMI/MATI, KMI/MATIA Mathematics I
KMI/CM1
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KMI/KMATA
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KMI/KMATI
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KMI/MATI
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KMI/MATIA
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KMI/M1
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KMI/M1A
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KMI/YMATI

Assessment methods and criteria
Combined exam, Test

- active participation in all seminars (100%) - gradual completion of all tasks in the Moodle e-learning system by the given deadlines; the students who fail the deadlines will not be allowed to take particular credit tests. - to pass credit tests (at least 70%), 6 credit tests during 2 open questions, time allocated is 12 minutes, the final score is average of 3 best attempts, student has one attempt for each test only, - to pass a combined examination - written part (at least 50%), 4 open questions, time allocated is 60 minutes and following oral part (at least 50%)
Recommended literature
  • BUDNICK, F. S. Applied Mathematics for Business, Economics and the Social Sciences. McGraf-Hill, 1993.
  • Klůfa, J., Coufal, J. Matematické struktury (Matematika A pro VŠE). Praha, 1995. ISBN 80-7079-162-4.
  • Nýdl a kol. Matematika I - Mathematics I (Cvičení - Seminar). Č. Budějovice: EF JU, 2007.
  • Nýdl a kol. Matematika II - Mathematics II. Cvičení - Seminar.. Č.Budějovice: EF JU, 2007.
  • Nýdl a kol. Mathematics 2: Exercises, questions, applications. 2016.
  • Nýdl. V. et al. Matematický seminář pro ekonomy - Mathematical Seminar for Economists. České Budějovice, 2008.
  • NÝDL, V., KLUFOVÁ, R. Matematika (Část 2 - Matematická analýza). Č. Budějovice: ZF JU, 1998.
  • Nýdl, V., Lexová, R. Matematika (Část 1 - matematické struktury). skriptum ZF JU, ČB, 1996.


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