Linear Algebra and Analytical Geometry
1
2019-2020
01001917
Basic Sciences
Portuguese
Face-to-face
SEMESTRIAL
6.0
Compulsory
1st Cycle Studies
Recommended Prerequisites
High School Mathematics.
Teaching Methods
The theoretical lectures are predominantly expository. In practical classes the students will solve exercises under the guidance of the instructor. In the theoretical classes it will prevail a strong interaction between concepts and their practical application. The transformation of concepts into working tools will be achieved by encouraging personal work. The formal lectures will be complemented by periods of individual attendance.
Learning Outcomes
The main goal of the course is to introduce the basic concepts of Linear Algebra and Analytic Geometry, and provide the students with mathematical tools that are necessary for applications in other areas of mathematics and in engineering. The course will help students to develop logic reasoning and critical thinking and to learn basic methods of proof making.
Work Placement(s)
NoSyllabus
- Matrices and Systems of Linear Equations.
- Determinants.
- Vector Spaces.
- Linear Transformations.
- Vector Spaces with Inner Product.
- Eigenvalues, Eigenvectors and Diagonalization of Matrices.
- Geometric Applications in R2 and R3 (applications to classification of conics and quadrics).
Head Lecturer(s)
Maria João Rodrigues Ferreira
Assessment Methods
Continuous assessment
Mini Tests: 20.0%
Frequency: 80.0%
Final assessment
Exam: 100.0%
Bibliography
- Ana Paula Santana e João Filipe Queiró, "Introdução à Álgebra Linear", Gradiva Publicações, 2010.
- Luís T. Magalhães, "Álgebra Linear como Introdução a Matemática Aplicada", Texto Editora, 1989.
- Gilbert Strang , “Linear Algebra and its Applications”, Harcout Brace Jovanovich, San Diego, 1988.