Electrical Engineering - Power Systems

LINEAR ALGEBRA AND ANALYTIC GEOMETRY

General Data

Type of credits: ECTS
Number of credits: 5.00
Status: Mandatory
Academic Year:
Term:
Languages: Portuguese
Available for Mobility Students: No
Restricted to alliance: No
Code: Sin codigo

Coordination

Description

Theory
2

Theory/Practice
2

Instructors

Carla Pinto


 

Contents

1. Matrices (CP1)
2. Determinants (CP2)
3. Systems of Linear Equations (CP3)
4. Vector Spaces in IR (CP4)
5. Linear Operators (CP5)
6. Analytic Geometry (CP6)
7. Case Studies (CP7)

Learning Outcomes

This course aims to provide students with the mathematical foundations necessary for the undergraduate program in Electrical Engineering ? Electric Power Systems. It seeks to develop students? abilities in logical reasoning and abstraction, as well as their capacity to apply mathematical concepts to problem-solving in engineering contexts.
Upon successful completion of all course activities, students are expected to be able to:
- Perform fundamental matrix operations, compute the inverse of a regular matrix, and solve matrix equations (LO1);
- Compute determinants (LO2);
- Utilize determinants and matrices to solve and analyze systems of linear equations (LO3);
- Identify and operate within vector spaces (LO4);
- Determine eigenvalues and eigenvectors of linear transformations (LO5);
- Compute scalar, vector, and mixed products in three-dimensional space; determine equations of lines and planes and their intersections; and calculate distances involving lines and planes in three-dimensional space (LO6);
- Apply acquired knowledge to real-life case studies using digital escape rooms (LO7).