SA_MAT_2 Mathematics II

Institute of Technology and Business in České Budějovice
summer 2020
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
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
SA_MAT_2/S01: Tue 11:25–12:55 B4, J. Vysoká
Prerequisites
OBOR ( CAP )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives supported by learning outcomes
The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.
Learning outcomes
After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.
Syllabus
  • 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitutions. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.
Literature
    required literature
  • Stancl D., Brief calculus for management and the life and social sciences
    recommended literature
  • Lang S., A First Course in Calculus
Forms of Teaching
Lecture
Seminar
Consultation
Teaching Methods
Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for Seminars, Exercises, Tutorial51 
Preparation for the Final Test51 
Závěrečný test (in Czech)2 
Attendance on Lectures26 
Attendance on Seminars/Exercises/Tutorial/Excursion26 
Total:1560
Assessment Methods and Assesment Rate
Test – final 70 %
activity during the lectures 30 %
Exam conditions
Grading of the course: First Test/Seminar Work/Activity … : 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
Follow-Up Courses
  • Enrolment Statistics (recent)
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