Upon approval in this curricular unit, the student should be able to:

1. Understand the basic concepts of limit, continuity and differentiability for scalar and vector fields.
2. Solve problems in various contexts involving the chain rule.
3. Understand the calculus of multiple integrals, identifying the geometrical representation of the domain and the convenient coordinates to be used.
4. Define parametric representations of lines and surfaces and interpret and solve.
5. Engineering problems using line and surface integrals.
6. Devise models based on scalar and/or vector fields and use spacial reasoning and visualisation in the analysis and solution of problems.
7. Show a basic knowledge in the area of ordinary differential equations, including the solution of some 1st order equations and the linear equations of order n with constant coeficients.
8. Apply the properties of linear differential equations.
9. Choose autonomous and judicious learning strategies.

Curricular Unit Form