Title:

# Seminar of Mathematics

Code:ISM
Ac.Year:2018/2019
Sem:Winter
Curriculums:
ProgrammeField/
Specialization
YearDuty
BIT-1stElective
IT-BC-3BIT1stElective
Language of Instruction:Czech
Credits:2
Completion:credit
Type of
instruction:
Hour/semLecturesSeminar
Exercises
Laboratory
Exercises
Computer
Exercises
Other
Hours:026000
ExamsTestsExercisesLaboratoriesOther
Points:00000
Guarantor:Krupková Vlasta, RNDr., CSc. (DMAT)
Deputy guarantor:Fusek Michal, Ing., Ph.D. (DMAT)
Instructor:Krupková Vlasta, RNDr., CSc. (DMAT)
Faculty:Faculty of Electrical Engineering and Communication BUT
Department:Department of Mathematics FEEC BUT
Follow-ups:
 Mathematical Analysis (IMA), DMAT Numerical Methods and Probability (INM), DMAT

Learning objectives:
The goal is to improve or to repeat knowledge of high school mathematics needed for further study.
Description:
High school mathematics.
Knowledge and skills required for the course:
The basic numerical skills
Subject specific learning outcomes and competencies:
Improving or repeating knowledge of high school mathematics.
Generic learning outcomes and competencies:
The ability of formal mathematical expression.
Why is the course taught:
The goal is to improve or to repeat knowledge of high school mathematics needed for further study.
Syllabus of numerical exercises:

1. Adjustment of algebraic expressions 1
2. Adjustment of algebraic expressions 2
3. Equations and inequations
4. Equations and inequations with absolute value
5. Functions
6. Polynomials
7. Goniometrical functions and equations
8. Exponential functions and logarithm
9. Analytic geometry 1 - linear
10. Analytic geometry 2 - conic sections
11. Complex numbers 1
12. Complex numbers 2
Fundamental literature:

• 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.
• Polák, J.: Přehled stredoškolské matematiky [Compendium of high school mathematics]. Praha, Prometheus, 2002.
• Polák, J.: Středoškolská matematika v úlohách II [High school mathematics in exercises II]. Praha, Prometheus, 1999.
Study literature:

• Kolářová, E. Matematický seminář [Seminar of Mathematics]. Brno, UMAT, FEKT, VUT v Brně. (In Czech)
• Krupková, V., Fusek,M: Matematický seminář pro FIT, UMAT, FEKT, VUT v Brně 2018. (In Czech)
Controlled instruction:
The presence is monitored. At most three absences can be excused.
Progress assessment:
Two control tests  dealing with so far discussed topics.
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.