BSA_MAT Mathematics

Institute of Technology and Business in České Budějovice
winter 2024
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Zdeněk Dušek, Ph.D. (seminar tutor)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Zdeněk Dušek, Ph.D.
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
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives supported by learning outcomes
The student will gain theoretical knowledge and practical skills needed in related subjects. After completing the course, the student will independently solve basic problems from the subject matter and is able to apply them to practical problems.
Learning outcomes
Upon successful completion of the course, the student: - solves problems related to the issue of arithmetic sequences, - solves problems related to the issue of geometric sequences, - understand the concept of sequence limits and learn the basic techniques of their calculation, - determine the sum of the convergent series, - is familiar with the problem of solving simple difference equations, - knows matrix calculus, - can solve systems of linear equations, - can determine the properties of basic functions, - knows the procedures for calculating function limits, - masters the derivation technique, - knows the procedure for determining the course of functions, - solves simple problems from the integral calculus of a function of one real variable, - can use integral calculus to solve application problems.
Syllabus
  • Seminars: 1) Arithmetic sequences. 2) Geometric sequences. 3) Limits of sequences. 4) Series, sums of series. 5) Introduction to difference equations. 6) Matrix calculus. 7) Solution of systems of equations using matrix calculus. 8) Functions and their basic properties. 9) Limits of functions. 10) Derivation of functions. 11) Course of functions. 12) Primitive functions and methods of finding them. 13) Application of primitive functions.
Literature
    required literature
  • MOUČKA, J. a P. RÁDL, 2015. Matematika pro studenty ekonomie. 2., uprav. a dopl. vyd. Praha: Grada. ISBN 978-80-247-5406-2.
  • LAY, D. C., S. R. LAY and J. J. McDONALD, 2016. Linear Algebra and its Applications. [s. l.]: Pearson Education Limited. ISBN 978-1-292- 09223-2.
  • OLVER, P. J. and Ch. SHAKIBAN, 2018. Applied Linear Algebra. [s. l.]: Springer. ISBN 978-3-319-91041-3.
    recommended literature
  • SOKOLNIKOFF, I. and E. SOKOLNIKOFF. Higher Mathematics for Engineers and Physicists. Dostupné z: http://www.freebookcentre.net/Mathematics/Basic-Mathematics- Books.html
  • KALMAN, D., 1997. Elementary Mathematical Models, Order Aplenty and a Glimpse of Chaos. Washington: Mathematical Association of America Textbooks. ISBN 978-0-88385-707-6.
  • DOŠLÁ, Z. a P. LIŠKA, 2014. Matematika pro nematematické obory: s aplikacemi v přírodních a technických vědách. Praha: Grada. ISBN 978- 80-247-5322-5.
Forms of Teaching
Seminar
Teaching Methods
Frontal Teaching
Brainstorming
Critical Thinking
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for the Mid-term Test8 
Preparation for Seminars, Exercises, Tutorial1022
Preparation for the Final Test822
Attendance on Seminars/Exercises/Tutorial/Excursion268
Total:5252
Assessment Methods and Assesment Rate
Test – mid-term 30 %
Test – final 70 %
Exam conditions
To successfully complete the course, it is necessary to achieve a total of at least 70% of the interim and final evaluation under the conditions set out below. In the continuous evaluation, 30 points can be obtained, ie 30%. In the final evaluation, a total of 70 points can be obtained, ie 70%. Overall classification of the course, ie points for the final evaluation (70 - 0) + points from the continuous evaluation (30 - 0): Z~100 - 70, X 69.99 - 30, N 29.99 - 0. The student of the full-time form of study is obliged to fulfill the obligatory 70% attendance at the contact teaching, ie everything except lectures. If the participation is not met, the student will be automatically classified "F".
Language of instruction
Czech
Teacher's information
Attendance at classes in all forms solves a separate internal standard of VŠTE (Records of student attendance at VŠTE). For full-time students, 70% attendance at seminars and seminars is mandatory.
The course is also listed under the following terms winter 2021, winter 2022, winter 2023.
  • Enrolment Statistics (winter 2024, recent)
  • Permalink: https://is.vstecb.cz/course/vste/winter2024/BSA_MAT