MAT Mathematics

Institute of Technology and Business in České Budějovice
winter 2017
Extent and Intensity
0/4/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Vladislav Biba, Ph.D. (seminar tutor)
Ing. Květa Papoušková (seminar tutor)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)
RNDr. Milan Vacka (seminar tutor)
Mgr. Michaela Vargová, Ph.D. (seminar tutor)
RNDr. Jana Vysoká, 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
Timetable of Seminar Groups
MAT/A5: Sat 14. 10. 14:50–16:20 E1, 16:30–18:00 E1, Sun 15. 10. 8:00–9:30 E1, 9:40–11:10 E1, Sun 26. 11. 12:10–12:55 E1, 13:05–14:35 E1, 14:50–16:20 E1, 16:30–17:15 E1, D. Smetanová
MAT/S01: Tue 9:40–11:10 A7, Wed 9:40–11:10 A6, K. Papoušková
MAT/S03: Tue 16:30–18:00 B5, Thu 11:25–12:55 B5, M. Vacka
MAT/S04: Wed 13:05–14:35 A6, Thu 9:40–11:10 B5, K. Papoušková
MAT/S05: Tue 8:00–9:30 A7, Wed 14:50–16:20 A6, K. Papoušková
MAT/S07: Wed 9:40–11:10 D416, Thu 11:25–12:55 B4, J. Vysoká
MAT/S11: Tue 14:50–16:20 B4, Wed 16:30–18:00 A7, D. Smetanová
MAT/S06: Wed 13:05–14:35 B2, Thu 9:40–11:10 B4, J. Vysoká
MAT/S08: Wed 8:00–9:30 D416, Thu 8:00–9:30 B4, J. Vysoká
Prerequisites
MAX_KOMBINOVANYCH(999) && MAX_PREZENCNICH(999)
The student masters the range of secondary school mathematics or the ZAM course.
Course Enrolment Limitations
The course is offered to students of any study field.
The capacity limit for the course is 1989 student(s).
Current registration and enrolment status: enrolled: 0/1989, only registered: 0/1989
Course objectives supported by learning outcomes
The aim of this course is to provide the students with the basic knowledge of algebra, differential and integral calculus of functions of one variable needed in the study of specialized subjects. Then the aim is also to provide and clarify the main methods and algorithms. After the successful completing of the course, the student solves basic tasks of the course (counting with vectors, matrices and determinants, solving systems of linear equations, properties and graphs of elementary functions, calculation of limits and function derivation, investigating of function process, counting of primitive functions, idefinite integral, the direct method, per-partes, substitution method, calculation of definite integrals and content of a plane figure) individually.
Syllabus
  • 1. Vector, vector space, equality of vectors, counting with the vectors, linear combinations of vectors, linear dependence and independence of vectors, basis and dimension of vector space, scalar product of vectors. 2. Matrices, rank of matrices, matrix addition and multiplication, inverse matrix, Frobenius theorem, solving systems of linear equations using Gaussian method. 3. Determinants, Cramer's rule. 4. Functions of one real variable, domain and field of functional values, basic algebraic functions and non-algebraic. 5. Inverse functions, even and odd functions, inverse trigonometric functions. 6. Limit of function 7. Derivative function, basic rules for derivate, derivative compound function, function graph tangent. 8. L'Hospital's rule. The importance of first and second derivative for the function course (increasing, decreasing, convex, concave, local extrema and inflection points). 9. The primitive function, indefinite integral, direct integration. 10. The method of integration by-partes. 11. Substitution method. 12. Definite integral. 13. Calculation of a plane figure.
Literature
    required literature
  • MOUČKA, Jiří a Petr RÁDL. Matematika pro studenty ekonomie. 2., uprav. a dopl. vyd. Praha: Grada Publishing, 2015. Expert (Grada). ISBN 978-80-247-5406-2.
  • CHLÁDEK, Petr. Matematika I : studijní opora pro kombinované studium. 1. vyd. České Budějovice: Vysoká škola technická a ekonomická v Českých Budějovicích, 2012, 44 pp. ISBN 978-80-7468-004-5. info
    recommended literature
  • MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
  • KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
  • KAŇKA, Miloš. Vybrané partie z matematiky pro ekonomy. Vyd. 1. Praha: Vysoká škola ekonomická, Fakulta informatiky a statistiky, 1998, 231 s. ISBN 80-7079-537-9. info
Forms of Teaching
Seminar
Tutorial
Consultation
Teaching Methods
Frontal Teaching
Group Teaching - Cooperation
Group Teaching - Collaboration
Critical Thinking
Teaching Supported by Multimedia Technologies
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for Seminars, Exercises, Tutorial3270
Preparation for the Final Test2020
Attendance on Seminars/Exercises/Tutorial/Excursion5214
Total:104104
Assessment Methods and Assesment Rate
Exam – written 70 %
activity during seminar 30 %
Exam conditions
Grading of the course: Activity during seminar: maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: 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
The course is also listed under the following terms Summer 2016, winter 2016, winter 2018, summer 2019, winter 2019, winter 2020.
  • Enrolment Statistics (winter 2017, recent)
  • Permalink: https://is.vstecb.cz/course/vste/winter2017/MAT