- Details
- Category: Discipline
- Sports Sciences
- 6154
- 22458
- Specialization in Theaching of Physical Education
- ISMAT6154-22458
- 3
- 12
- 840
- 12
- Não
- Português
- Optional
- Semestral
- Details
- Category: Discipline
- Design para a Economia Circular (M) (ISMAT)
- 6334
- 28102
- O Papel da Economia Circular na Diversificação Económica
- ISMAT6334-28102
- 1
- 5
- 931
- 12
- Não
- Português
- Opcional
- Semestral
- Details
- Category: Discipline
- Apostol, T.M. (1987). Cálculo. (1º Vol.). Reverté. Ayres, F. & Mendelson, E. (1994). Cálculo diferencial e integral. S.Paulo: Makron.
- Data Science
- 6321
- 505
- Mathematics II
- ISMAT6321-505
- 1
- 6
- 0
- 12
- Não
- Português
- The teaching methodology includes the expository method (TM1) to present the contents, the demonstrative method (TM2) to illustrate its application to practical cases and the active method (TM3) to solve classroom exercises, with and without the use of a computer. Whenever appropriate, mathematical software is used to support concept visualization and problem solving.
- Mandatory
- At the end of this unit students should know: LO1: Extend the study of functions to problems with more than one real variable; LO2: Master the differential and integral calculus of functions of more than one real variable, including the fundamental theorems of calculus; LO3: Use real problems involving functions with more than one independent variable; LO4: Solve differential equations and understand their applications.
- S1. Functions of several independent variables: Algebraic and topological structure of Rn; Limit and continuity; Differentiability; Partial derivatives; Derived from the composite function; Taylor's theorem in Rn and application to the study of extremes; Theorems of inverse function and implicit function; Conditioned extremes. S2. Integral calculus in several real variables: Double integral and triple integral (geometric interpretation, fundamental properties, Fubini's theorem; Variable change theorem, applications). S3. Ordinary differential equations: separable variable equations; 1st order linear equations; Numerical methods: Euler and Runge-Kutta; applications.
The assessment is made by continuous assessment or written exam. The continuous assessment consists of three written tests with a weight of 30% each and active participation in classes (10%).
- Semestral
- Mathematics II belongs to the scientific area of Mathematics and deepens the knowledge of differential and integral calculus by extending it to multivariable functions and ordinary differential equations. These topics provide an essential foundation for mathematical modelling, optimization and methods used in Data Science.
- Details
- Category: Discipline
- IT Engineering
- 587
- 7346
- Embedded Systems
- ISMAT587-7346
- 3
- 6
- 0
- 12
- Não
- Português
- Semestral
- Details
- Category: Discipline
- Sports Sciences
- 6154
- 1401
- Option II
- ISMAT6154-1401
- 3
- 12
- 841
- 12
- Não
- Português
- Semestral
