Course Details

Mathematics

Academic Year 2025/26

BAA014 course is part of 1 study plan

BPC-APS Winter Semester 1st year

Course Guarantor

Institute

Language of instruction

Czech

Credits

3 credits

Semester

winter

Forms and criteria of assessment

course-unit credit and examination

Offered to foreign students

Not to offer

Course on BUT site

Lecture

13 weeks, 2 hours/week, elective

Syllabus

  • 1. Matrices, basic operations.
  • 2. Systems of linear algebraic equations, Gauss elimination method.
  • 3. Basics of vector algebra, dot, cross, and scalar triple product.
  • 4. Functions of one variable. Limit, continuity and derivative of a function.
  • 5. Some elementary functions, their properties, approximation by Taylor polynomial.
  • 6. Antiderivative and indefinite integral, Newton integral.
  • 7. Riemann’s integral and its calculation, some applications in geometry and physics.
  • 8. Numeric calculation of a definite integral.
  • 9. Two- and more-functions, partial derivative and its use.
  • 10. Probability, random variables.
  • 11. Numerical characteritics of a random variable.
  • 12. Basic distributions.
  • 13. Random sampling, statistics

Exercise

13 weeks, 1 hours/week, compulsory

Syllabus

  • 1. Matrices, basic operations.
  • 2. Systems of linear algebraic equations, Gauss elimination method.
  • 3. Basics of vector algebra, dot, cross, and scalar triple product.
  • 4. Functions of one variable. Limit, continuity and derivative of a function.
  • 5. Some elementary functions, their properties, approximation by Taylor polynomial.
  • 6. Antiderivative and indefinite integral, Newton integral.
  • 7. Riemann’s integral and its calculation, some applications in geometry and physics.
  • 8. Numeric calculation of a definite integral.
  • 9. Two- and more-functions, partial derivative and its use.
  • 10. Probability, random variables.
  • 11. Numerical characteritics of a random variable.
  • 12. Basic distributions.
  • 13. Random sampling, statistics