Course details
Seminar of Mathematics
ISM Acad. year 2022/2023 Winter semester 2 credits
High school mathematics.
Guarantor
Course coordinator
Language of instruction
Completion
Time span
- 26 hrs exercises
Department
Instructor
Course Web Pages
Subject specific learning outcomes and competences
Improving or repeating knowledge of high school mathematics. The ability of formal mathematical expression.
Learning objectives
The goal is to improve or to repeat knowledge of high school mathematics needed for further study.
Why is the course taught
The goal is to improve or to repeat knowledge of high school mathematics needed for further study.
Prerequisites
- Discrete Mathematics (IDM)
Prerequisite knowledge and skills
The basic numerical skills
Study literature
- Kolářová, E. Matematický seminář. Brno, UMAT, FEKT, VUT v Brně.
- Kolářová, E. Matematický seminář (http://www.umat.feec.vutbr.cz/~kolara/seminar_pdf.pdf). Brno, UMAT, FEKT, VUT v Brně.
- Krupková, V., Fusek,M: Matematický seminář pro FIT, UMAT, FEKT, VUT v Brně 2018
- Bušek, I.: Řešené maturitní úlohy z matematiky [Solved math problems for graduation]. Praha, Prometheus, 1999.
- Chrastinová, M., Kolářová E.: Matematika - Přijímací zkoušky na vysoké školy [Mathematics - Admission tests to college]. Brno, FEI VUT, 2000.
- Kolářová, E. Matematický seminář (http://www.umat.feec.vutbr.cz/~kolara/seminar_pdf.pdf). Brno, UMAT, FEKT, VUT v Brně.
- Polák, J.: Přehled stredoškolské matematiky [Compendium of high school mathematics]. Praha, Prometheus, 2002.
- Krupková, V., Fusek,M: Matematický seminář pro FIT UMAT, FEKT, VUT v Brně 2018
- Polák, J.: Středoškolská matematika v úlohách II [High school mathematics in exercises II]. Praha, Prometheus, 1999.
- Bušek, I.: Řešené maturitní úlohy z matematiky [Solved math problems for graduation]. Praha, Prometheus, 1999.
- Polák, J.: Středoškolská matematika v úlohách II [High school mathematics in exercises II]. Praha, Prometheus, 1999.
Syllabus of numerical exercises
- Adjustment of algebraic expressions
- Equationsand inequations
- Sets, real numbers
- Complex numbers
- Functions
- Goniometric functions and equations
- Exponential functions and logarithm
- Functions - basic properies
- Transform
- Conic sections
- Vectors
- Analytic geometry
Progress assessment
Two control tests dealing with so far discussed topics.
Controlled instruction
The presence is monitored. At most three absences can be excused.
Exam prerequisites
For the course-unit credit, it is necessary:
- To attend exercises (no absence without an excuse is allowed and at most three absences with accepted excuse are allowed).
- To obtain at least a 50 % score from control tests during the semester.
Schedule
| Day | Type | Weeks | Room | Start | End | Capacity | Lect.grp | Groups | Info |
|---|---|---|---|---|---|---|---|---|---|
| Mon | exercise | 2., 3., 4., 5., 6., 7., 8., 9., 10., 11., 12., 13. of lectures | A113 | 14:00 | 15:50 | 52 | 1BIA 1BIB 2BIA 2BIB | xx | Krupková |
| Mon | exercise | 2., 3., 4., 5., 6., 7., 8., 9., 10., 11., 12., 13. of lectures | A113 | 16:00 | 17:50 | 52 | 1BIA 1BIB 2BIA 2BIB | xx | Krupková |
| Tue | exercise | 2., 3., 4., 5., 6., 7., 8., 9., 10., 11., 12., 13. of lectures | A113 | 14:00 | 15:50 | 52 | 1BIA 1BIB 2BIA 2BIB | xx | Krupková |
| Tue | exercise | 2., 3., 4., 5., 6., 7., 8., 9., 10., 11., 12., 13. of lectures | A113 | 16:00 | 17:50 | 52 | 1BIA 1BIB 2BIA 2BIB | xx | Krupková |
| Thu | exercise | 1., 2., 3., 4., 5., 6., 7., 8., 10., 11., 12., 13. of lectures | A113 | 16:00 | 17:50 | 52 | 1BIA 1BIB 2BIA 2BIB | xx | Krupková |
| Fri | exercise | 1., 2., 3., 4., 5., 7., 8., 9., 10., 11., 12., 13. of lectures | A113 | 14:00 | 15:50 | 52 | 1BIA 1BIB 2BIA 2BIB | xx | Krupková |
| Fri | exercise | 1., 2., 3., 4., 5., 7., 8., 9., 10., 11., 12., 13. of lectures | A113 | 16:00 | 17:50 | 52 | 1BIA 1BIB 2BIA 2BIB | xx | Krupková |
Course inclusion in study plans
- Programme BIT, 1st year of study, Elective
- Programme BIT (in English), 1st year of study, Elective
- Programme IT-BC-3, field BIT, 1st year of study, Elective