General Mathematics
Code
10692
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Matemática
Credits
6.0
Teacher in charge
Isabel Maria da Silva Cabral
Weekly hours
6
Total hours
77
Teaching language
Português
Objectives
To provide the basis for some working knowledge of mathematical techniques (in the Linear Algebra and Mathematics Analysis domains).
Prerequisites
The student must be familiar with mathematics taught at pre-university level in Portugal (Science area).
Subject matter
GENERAL MATHEMATICS
PART 1 - MATRICES AND LINEAR ALGEBRA
- Operations with Matrices
- Systems of Linear Equations
- Determinants
- Eigenvalues and eigenvectors
PART 2 - INTEGRATION
- Primitives
- Integral calculus
PART 3 - DIFFERENTIAL EQUATIONS
- Separable equations
- First order linear equations
- Second order linear equations with constant coefficients
Bibliography
PART 1 - MATRICES AND LINEAR ALGEBRA
H. Anton, C. Rorres, Elementary Linear Algebra: Applications version (7th ed.), Wiley,1994, ISBN 0-471-30570-7.
PART 2 - INTEGRATION
S. Lang, A First Course in Calculus, Springer-Verlag, 1986, ISBN 0-387-96201-8.
PART 3 - DIFFERENTIAL EQUATIONS
M. Braun, Differential Equations and their Applications (4th edition), Springer-Verlag, 1993, ISBN 0-387-97894-1.
Teaching method
In this course there are lectures (3 hours weekly) and practical classes (3 hours weekly).
Students have at their disposal a guide with theoretical and practical notes for classes. The practical notes consist on two separate lists of problems, one to be partialy solved during pratical classes and the other one intended for the student’s autonomous work.
There is also some office hours where each student can individually talk to and/or seek help from any teacher of the discipline.
Evaluation method
Conditions for evaluation admittance:
- attend on, at least, 2/3 of practical classes.
Evaluation can be done through tests during classes period or by final exam.
More details available in the portuguese version.