Faculdade de Ciências e Tecnologia

Mathematical Analysis III C

Code

5004

Academic unit

Faculdade de Ciências e Tecnologia

Department

Departamento de Matemática

Credits

6.0

Teacher in charge

Ana Maria de Sousa Alves de Sá

Weekly hours

5

Teaching language

Português

Objectives

At the end of this unit, students must

-  solve by different methods ordinary differential equations (ODE);

-  extract qualitative information of ODEs and system of ODEs;

-  understand the difference between a linear and a nonlinear equation;

-  have basic skills in solving partial differential equations.

Prerequisites

Knowledge of he contents of a first year academic courses on Linear Algebra and  Calculus.

Bibliography

BRAUN, M. - Differential Equations and their Applications, Springer-Verlag.

BOYCE, W. E., DIPRIMA, R., - Elementary Differential Equations and Boundary Value Problems, 11ª edição, John Wiley and Sons, Inc., 2017.

PENNEY, D., EDWARDS, C. H., - Elementary Differential Equations with Boundary Value Problems, 5ª edição, Pearson Education, Inc., 2015.

Teaching method

Teaching Method bases on conferences a n problems solving sessions with the support of a personal attending schedule.

Evaluation method

Important:

In order to be evaluated, the student must attend at least to 3/4 of the problem solving sessions.

 

Evaluation Methods.

1-Continuous evaluation

The continuos evaluation consists on three tests during the semester. One of the tests may be improved in the final examination date. The final grade is the average of the grades of the three tests. The student is aproved if the final grade is greater or equal than 9,5.

Each test lasts for 1h 30min. 

2-Final exam evaluation.

The student is aproved if the grade of the final exam is greater or equal than 9,5.

The final exam lasts for 3h.

Courses