Course detail
Mathematics 1
FEKT-BKC-MA1Acad. year: 2022/2023
Vectors spaces, linear combination, linear dependence, basis and dimension of vector space. Matrices and systems of linear equations. Limit, continuity, derivative, l´Hospital's rule, Taylor polynomial, behavior of function. Antiderivative, indefinite integral. Definite integral and its applications. Improper integral. Number series, power series, Taylor series.
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Course curriculum
2. Vectors, combination, dependence and independence of vectors, basis and dimension of vector space.
3. Matrices and determinants.
4. Systems of linear equations and their solutions.
5. Differential calculus of one variable, limit, continuity, derivative.
6. Derivatives of higher orders, Taylor polynomial.
7. L'Hospital's rule, behaviour of function.
8. Integral calculus of one variable, antiderivative, indefinite integral.
9. Integration by parts, substitution method, integration of some elementary functions.
10. Definite integral and its applications.
11. Improper integral
12. Number series, convergence tests.
13. Power series, Taylor series.
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