VŠTE:AMP_1 Applied mathematics 1 - Course Information

AMP_1 Applied mathematics 1

Extent and Intensity

2/4. 7 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Zdeněk Dušek, Ph.D. (lecturer)
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
Contact Person: RNDr. Dana Smetanová, Ph.D.
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

AMP_1/P01: Mon 11:25–12:55 D415, D. Smetanová
AMP_1/S15: Fri 16:30–18:00 D516, Fri 18:10–19:40 D516, D. Smetanová

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.
The capacity limit for the course is 40 student(s).
Current registration and enrolment status: enrolled: 35/40, only registered: 0/40

fields of study / plans the course is directly associated with

• Control Processes in Engineering (programme VŠTE, RPS)

Course objectives supported by learning outcomes

Introduce basic concepts of complex numbers, linear algebra, real functions and infinitesimal calculuc.

Learning outcomes

Student knows operations with complex numbers, matrices, he can solve systems of linear equations. He knows infinitesimal calculus, limits, derivatives and their meaning in physics. He knows basic integral calculus.

Syllabus

1. Complex numbers 2. Applications of complex numbers in physics 3. Vector calculus, tensors 4. Matrices and matrix calculus 5. Applications of matrices in physics 6. Systems of linear equations 7. Real functions 8. Limit, derivative of a function 9. Meaning of a derivative in physics 10. Applications of differential calculus in physics 11. Primitive function 12. Applications of primitive functions 13. Differential equations of special types

Literature

required literature
• BARTSCH, Hans-Jochen. Matematické vzorce. 4.vyd. Praha: Academia, 2006, 831 pp. ISBN 80-200-1448-9. info
• REKTORYS, Karel. Přehled užité matematiky. I. 7. vyd. Praha, 2000, 720 pp. Prometheus. ISBN 80-7196-180-9. info

recommended literature
• REKTORYS, Karel. Variační metody v inženýrských problémech matematické fyziky. 6. vyd. Praha: Academia, 1999, 602 pp. ISBN 80-200-0714-8. info
• REKTORYS, Karel. Matematika 43: obyčejné a parciální diferenciální rovnice s okrajovými podmínkami. 3. vyd. Praha: ČVUT, 1997, 93 pp. ISBN 80-01-01611-0. info

Forms of Teaching

Lecture
Seminar

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Brainstorming
Critical Thinking
Individual Work– Individual or Individualized Activity

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for the Mid-term Test	17
Preparation for Lectures	20
Preparation for Seminars, Exercises, Tutorial	40
Preparation for the Final Test	25
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	52
účast na závěrečném testu (in Czech)	2
Total:	182	0

Assessment Methods and Assesment Rate

Exam – written 70 %
Test – mid-term 30 %

Exam conditions

Running test - 30 points available. Final test - 70 points available. To pass exam, 70 points are necessary.

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.

• Enrolment Statistics (recent)
  
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