Course Details

# Mathematics

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