Didactic units and topics
Integral calculus in functions of a real variable.
1. Calculation of primitives.
2. The Riemann integral (definite integral).
3. Improper (or generalized) integrals.
4. Applications of integral calculus in one variable.
Differential and integral calculus in functions of several variables.
5. Limits and continuity of functions of several variables.
6. Derivation and differentiability of functions of several variables.
7. Taylor's formula in functions of several variables. Calculation of extrema.
8. Transformations.
9. Multiple Riemann integrals. Applications.
Ordinary differential equations.
10. Generalities on differential equations.
11. First order ordinary differential equations.
12. Higher order linear differential equations.
Introduction to numerical methods.
13. Solving equations and interpolation.
14. Numerical integration.
