Course Details
Mathematics 1
Academic Year 2024/25
BAA012 course is part of 1 study plan
BPC-EVB Winter Semester 1st year
Course Guarantor
Institute
Language of instruction
Czech
Credits
5 credits
Semester
Forms and criteria of assessment
Offered to foreign students
Course on BUT site
Lecture
13 weeks, 2 hours/week, elective
Syllabus
Exercise
13 weeks, 2 hours/week, compulsory
Syllabus
1. Absolute value of a function. Quadratic equations in complex field. Conics. Graphs of selected elementary functions. Basic properties of functions. 2. Composite function and inverse to a function (inverse trigonometric functions, logarithmic functions). 3. Polynomial, sign of a polynomial. 4. Rational function, sign of a rational function, decomposition into partial fractions. 5. Limit of a function. Derivative of a function (basic calculation) and its geometric applications, basic formulas and rules for differentiating. 6. Derivative of an inverse function. Basic differentiation formulas and rules. 7. Test I. Higher-order derivatives. Taylor theorem. L` Hospital's rule. 8. Asymptotes of the graph of a function. Sketching the graph of a function. 9. Basic operations with matrices. Elementary transformations of a matrix, rank of a matrix, solutions to systems of linear algebraic equations by Gauss elimination method. 10. Calculating determinants using Laplace expansion and rules for calculating with determinants. Calculating the inverse to a matrix using Jordan's method. 11. Test II. Matrix equations. Eigenvalues and eigenvectors of a matrix. 12. Using dot and cross products in solving problems in 3D analytic geometry. 13. Mixed product. Seminar evaluation.