Electrical Engineering - Power Systems
LINEAR ALGEBRA AND ANALYTIC GEOMETRY
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).