Intended learning outcomes
Upon approval in this curricular unit, the student should be able to:
- understand the basic concepts of limit, continuity and differentiability of scalar and vector fields;
- solve problems in the context of Mathematics, Physics and Engineering involving the Chain Rule;
- understand the calculus of multiple integrals, identifying the geometrical representation of the domain and the convenient coordinates to be used;
- define parametric representations of lines and surfaces;
- interpret and solve Engineering problems using properties and theorems relative to line and surface integrals;
- use spacial reasoning and visualisation in the analysis and solution of real problems;
- devise models for real situations using scalar and/or vector fields;
- show a basic knowledge in the area of ordinary differential equations, including the solution of some differential equations of 1st order;
- apply the properties of linear differential equations;
- solve linear differential equations with constant coefficients;
- choose autonomous and judicious learning strategies.