General Mathematics II

Recommended Prerequisites

Knowledge and  mastery of the common techniques taught in the course in mathematics at the secondary education.

Teaching Methods

Detailed lectures (using occasionally some audio-visual devices) introducing and explaining concepts, principles and theories. Theoretical-practical classes, in which the students with the guidance of the teacher, solve exercises. The evaluation consists of a final exam or, alternatively, two intermediate tests (for this, it is required the presence of 75% of the theoretical-practical classes).

Learning Outcomes

The aim of this curricular unit is to provide the main concepts and techniques of complex numbers, linear equations systems, matrices, linear transformations, inner product spaces, eigenvalues and eigenvectors.

Acquiring capabilities in synthesis and analysis, oral and written communication, problems solving, critic reflection, autonomous learning, and practical application of theoretical knowledge.

Work Placement(s)

No

Syllabus

0. Complex numbers 1. Matrices 2. Linear equations systems 3. Vector Spaces  4.Linear Transformations 5. Determinants 6. Inner Product 7. Eigenvalues and eigenvectors. 8.Geometric functions in R2 and R3.

Head Lecturer(s)

Cristina Helena de Matos Caldeira

Assessment Methods

Continuous evaluation
Frequency: 100.0%

Final evaluation
Exam: 100.0%

Bibliography

Santana- Queiró, 2010] Ana Paula Santana, João Filipe Queiró, ''Introduçãon à  Álgebra Linear'', 2010

[Goodaire, 2003] Edgar G. Goodaire, ''Linear Algebra, A Pure and Applied First Course'', Pearson Education Inc, Prentice Hall, 2003

[S. Leon, 2002] Steven J. Leon, ''Linear Algebra with Applications'', Prentice Hall, New Jersey, 2002

[Strang, 1988] Gilbert Strang, '' Linear Algebra and its Applications'' Harcout Brace Jovanovich, San Diego, 1988.