1. Integral calculus: antiderivative and indefinite integral for functions of one variable.
2. Integration methods - substitution, integration by parts.
3. Integration of rational functions, irrational functions, trigonometric functions.
4. Definite integrals: basic concepts, properties, Newton-Leibniz rule.
5. Substitution method and integration by parts for the definite integral.
6. Geometric and physical application of definite integrals.
7. Differential calculus for functions of two variables: definition, domain, limits and continuity.
8. Partial derivatives of first order and higher orders. Total differential.
9. The equation of the tangent plane and of the normal.
10. Extrema of functions of two variables.
11. Implicit function and its derivatives.
12. Ordinary differential equation of the 1st order: types of solutions, separable, homogeneous and linear.
13. Linear differential equations of the 2nd order with constant coefficients: variation of constants, determination of coefficients.
14. Linear differential equations of higher orders.
2. Integration methods - substitution, integration by parts.
3. Integration of rational functions, irrational functions, trigonometric functions.
4. Definite integrals: basic concepts, properties, Newton-Leibniz rule.
5. Substitution method and integration by parts for the definite integral.
6. Geometric and physical application of definite integrals.
7. Differential calculus for functions of two variables: definition, domain, limits and continuity.
8. Partial derivatives of first order and higher orders. Total differential.
9. The equation of the tangent plane and of the normal.
10. Extrema of functions of two variables.
11. Implicit function and its derivatives.
12. Ordinary differential equation of the 1st order: types of solutions, separable, homogeneous and linear.
13. Linear differential equations of the 2nd order with constant coefficients: variation of constants, determination of coefficients.
14. Linear differential equations of higher orders.