Seminar of Mathematics

Type of
Hour/semLecturesSem. ExercisesLab. exercisesComp. exercisesOther
Guarantee:Fuchs Petr, RNDr., Ph.D., DMAT
Instructor:Fusek Michal, Ing., Ph.D., DMAT
Šafařík Jan, Mgr., FEEC
Faculty:Faculty of Electrical Engineering and Communication BUT
Department:Department of Mathematics FEEC BUT
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. This course is suitable for students who obtained less than 500 points in admission test in mathematics.
  High school mathematics.
Subject specific learning outcomes and competences:
  Improving or repeating knowledge of high school mathematics.
Generic learning outcomes and competences:
  The ability of formal mathematical expression.
Syllabus of numerical exercises:
  1. Basic concepts of the set theory
  2. Propositional and predicate logic
  3. Methods of proof and mathematical induction
  4. Vectors and analytic geometry
  5. Systems of linear equations and matrices
  6. Polynomials
  7. Exponential functions and logarithm
  8. Elementary functions and the concept of a limit
  9. Equations and inequations
  10. Sequences and series
  11. Complex numbers
  12. Combinatorics
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:
Controlled instruction:
  The presence is monitored. At most three absences can be excused.
Progress assessment:
  Two control tests (in 6th and 16th week) 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 any of two control tests during the semester.