Title:

Seminar of Mathematics

Code:ISM
Ac.Year:2015/2016
Term:Winter
Curriculums:
ProgrammeFieldYearDuty
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:Fuchs Petr, RNDr., Ph.D., DMAT
Instructor:Fusek Michal, Ing., Ph.D., DMAT
Šafařík Jan, Mgr. et Mgr., FEEC
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. This course is suitable for students who obtained less than 500 points in admission test in mathematics.
Description:
  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.
 

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