Matemática II

Differential calculus in IR

The following teaching methodologies are used in this curricular unit

1) Verbal methods (say), making use of the following educational resources: Exposition, Explanation, Dialogue and questioning;

2) Intuitive Methodologies (show), making use of the following educational resources: Demo, Audiovisual, written texts;

3) Active Methodologies (doing), using pedagogical resources: problem solving; technology.

It is intended that students:

1. Analyse and apply the rules and methods of primitivation in IR appropriately

2. Calculate indefinite integrals, definite integrals and improper integrals in IR.

3.  Identify the different types of first-order ordinary differential equations, assess the appropriate method for solving each one and apply it correctly. Solve second-order linear differential equations with constant coefficients.

4. Calculate partial derivatives of a real function of vector variable and evaluate the extrema of such function.

5. Apply the principal numerical methods to approximate functions. Estimate the value of a derivative and an integral using numerical methods of derivation and integration .

1. Integration and applications

2. Differential equations

3. Functions of several variables and optimization

4. Introduction to Numerical Methods

Periodic Evaluation:

 The periodic assessment comprises 3 tests. The final grade is equal to the simple arithmetic mean of the grades obtained in the three tests.

The tests will be held on a date to be agreed with the students.

A student who obtains a grade lower than 6 in any of the tests is automatically excluded from the periodic assessment and is admitted to the examination assessment. 

Exam Evaluation:

Involves an exam covering all the content covered.

NAO