Higher mathematics answers Synergy (tests 1 semester)

Higher mathematics answers 1 semester Synergy Test 30 questions EVALUATION - Excellent

Maths. Advanced

Topic 1. Function. Methods of assignment. Implicit function. Inverse function. Function classification

Topic 2. Theory of limits

Topic 3. Limit of function. Continuity of function. Function breaks. Basic properties of continuous functions

Topic 4. Remarkable limits. Comparison of infinitesimal quantities. Equivalent infinitesimal quantities

Topic 5. Differentiation of functions

Topic 6. Differentiation of functions (continued)

Topic 7. Function differential. Higher-order derivatives and differentials

Topic 8. Analytical applications of differentiable functions

Topic 9. Extremum function

Topic 10. Indefinite integral. Basic properties. Indefinite integrals table. Direct integration method

Topic 11. Indefinite integral. Basic methods of integration

Topic 12. Definite integral

Topic 13. Applications of a definite integral

Topic 14. Functions of several variables

Topic 15. Differential calculus of functions of several variables

Topic 16. Differentiation of complex, implicit and parametrically defined functions of several variables

Topic 17. Extremum of functions of several (two) variables

Topic 18. Foundations of linear algebra. Matrices. Types of matrices. Matrix operations.

Topic 19. The theory of determinants. Basic properties of determinants. Calculation of determinants of arbitrary order n. Decomposition formulas.

Topic 20. Inverse matrix. The rank of the matrix. Inverse Matrix Concept

Topic 21. Systems of linear algebraic equations