RPM Repetition of Mathematics

Institute of Technology and Business in České Budějovice
summer 2024
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)
Guaranteed by
RNDr. Dana Smetanová, 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
RPM/PS4: Sat 16. 3. 13:05–14:35 D416, 14:50–16:20 D416, Sun 24. 3. 8:00–9:30 D416, 9:40–11:10 D416, D. Smetanová
RPM/S01: Thu 9:40–11:10 D516, D. Smetanová
Prerequisites
MAX_PREZENCNICH ( 28 ) && MAX_KOMBINOVANYCH ( 28 )
The Repetition of mathematics is intended for students who have failed the Mathematics I (MAT_1, MAT_z), Mathematics (MAT_a, MAT) exams for any reason and who are interested in passing these exams.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives supported by learning outcomes
Mathematics is an organic part of studies at technical universities. However, it should not be seen as a goal, but as an essential means of studying vocational subjects. The aim of the course is to teach students not only basic mathematical knowledge, procedures and methods, but also to deepen their logical thinking.
Learning outcomes
The student will learn to analyse the problem, to distinguish the essential from the non-essential, to design the solution procedure, to control the individual steps of the solution. The student is able to generalize the created conclusions, evaluate the correctness of the results with respect to the given conditions. The student is able to understand that mathematical methods and thought processes are applicable elsewhere than just in mathematics.
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.
    recommended literature
  • DOŠLÁ, Zuzana a LIŠKA, Petr. Matematika pro nematematické obory: s aplikacemi v přírodních a technických vědách. 1. vydání. Praha: Grada Publishing, 2014. 304 stran. Expert. ISBN 978-80-247-5322-5.
Forms of Teaching
Seminar
Consultation
Teaching Block - tutorial
Teaching Methods
Frontal Teaching
Group Teaching - Cooperation
Group Teaching - Collaboration
Critical Thinking
Individual Work– Individual or Individualized Activity
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for Seminars, Exercises, Tutorial826
solving tasks1818
Attendance on Seminars/Exercises/Tutorial/Excursion268
Total:5252
Assessment Methods and Assesment Rate
Seminary Work 100 %
Exam conditions
To pass the course subject, it is necessary to get a min. 70 points.
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.
The course is also listed under the following terms summer 2020, summer 2021, summer 2022, SUMMER 2023.
  • Enrolment Statistics (recent)
  • Permalink: https://is.vstecb.cz/course/vste/summer2024/RPM