General Mathematics
Objectives
To provide the basis for some working knowledge of mathematical techniques (in the Linear Algebra and Analysis domains).
General characterization
Code
10692
Credits
6.0
Responsible teacher
Maria do Céu Cerqueira Soares
Hours
Weekly - 5
Total - 72
Teaching language
Português
Prerequisites
The student must be familiar with mathematics taught at pre-university level in Portugal (science area).
Bibliography
S. Lang. A first course in Calculus. Springer-Verlag, 1986, ISBN 0-387-96201-8
M. Braun. Differential Equations and their applications (4th edition). Springer-Verlag, 1993, ISBN 0-387-97894-1
H. Anton, C. Rorres. Elementary linear algebra Applications version (7th ed.). Wiley,1994, ISBN 0-471-30570-7
Teaching method
In this course there are lectures (3 hours weekly) and practical classes (3 hours weekly).
Students have, in advance, at their disposal a guide with all the theoretical and practical notes for classes. Practical notes include detailed examples, solved exercises and proposed exercise''s solutions.
There is also office hours where each student can individually talk to and/or seek help.
Evaluation method
Conditions for evaluation admittance: to solve the exercises proposed for autonomous resolution in at least 7 classes.
Evaluation can be done through tests during classes period, or by final exam.
More details available in the portuguese version.
Subject matter
PART I
1 - Modeling natural systems
2 - Primitives
3 - First order differential equations
4 - Second order differential equations
5 - Integral calculus
PART II
1 - Matrices
2 - Systems of linear equations
3 - Determinants
4 - Eigenvalues and eigenvectors
Programs
Programs where the course is taught: