Syllabus of tutorial
1. Course of a function of one real variable.
2. Integration by a direct method. Integration by substitution.
3. Integration by substitution. Integration by parts.
4. Integration of rational functions.
5. 1st test (basic methods of integration). Definite integrals.
6. Applications of definite integrals.
7. Functions of more variables, domain, partial derivatives.
8. Equation of a tangent plane and a normal to a graph of functions of two variables. Derivation of implicit functions.
9. Extrema of functions. 2nd test (functions of two variables).
10. Differential equations, separable and homogeneous differential equations.
11. Linear differential equations of 1st order. Exact differential equations.
12. 2nd order linear differential equations with constant coefficients.
13. Method of undetermined coefficients. 3rd test (differential equations).
14. Reserve.
1. Course of a function of one real variable.
2. Integration by a direct method. Integration by substitution.
3. Integration by substitution. Integration by parts.
4. Integration of rational functions.
5. 1st test (basic methods of integration). Definite integrals.
6. Applications of definite integrals.
7. Functions of more variables, domain, partial derivatives.
8. Equation of a tangent plane and a normal to a graph of functions of two variables. Derivation of implicit functions.
9. Extrema of functions. 2nd test (functions of two variables).
10. Differential equations, separable and homogeneous differential equations.
11. Linear differential equations of 1st order. Exact differential equations.
12. 2nd order linear differential equations with constant coefficients.
13. Method of undetermined coefficients. 3rd test (differential equations).
14. Reserve.