| Code |
14788
|
| Year |
2
|
| Semester |
S2
|
| ECTS Credits |
6
|
| Workload |
TP(60H)
|
| Scientific area |
Mathematics
|
|
Entry requirements |
N.A.
|
|
Learning outcomes |
With this curricular unit it is intended that the student obtain numerical tools to solve the most varied mathematical problems.
At the end of this curricular unit the student should be able to:
a) analyze the errors and determine their propagation;
b) determine numerically zeros of functions;
c) solve numerically systems of linear equations;
d) interpolate and approximate functions;
e) derive and integrate functions numerically;
f) solve equations and systems of differential equations by numerical methods;
g) in face of a proposed problem, translate it mathematically, identify possible methods to solve it, choose the most appropriate, implement it and critically analyze the results.
|
|
Syllabus |
1. Theory of errors
2. Non-linear equations
3. Systems of linear equations
4. Interpolation and polynomial approximation
5. Differentiation and numerical integration
6. Ordinary differential equations with initial values
|
|
Main Bibliography |
• H. Pina, "Métodos Numéricos", Mc GrawHill, Alfragide, 1995.
• M.R. Valença, "Métodos Numéricos", INIC, Braga, 1988.
• R.I. Burden & J.D. Faires & A.M. Burden, "Numerical Analysis 10e", PWSKent, Boston, 2015.
|
|
Teaching Methodologies and Assessment Criteria |
The course is structured in theoretical-practical classes. The teacher introduces the concepts, states and proves the fundamental results, provides examples and applications. The combination of the theory with the practice in the classes allows the exercises to be performed immediately after each theoretical content, which improves the acquisition of knowledge and skills. In addition, the student is encouraged to participate in classes, to interact with the teacher and with colleagues, and to work autonomously, in the form of exercises, formulation and problem solving.
Continuous assessment will be done through:
• two written tests, to be carried out on the days
• April 21, 2022 and
• June 7, 2022 (from 6:00 pm to 8:00 pm);
• six mini-tests, to be carried out on the computer using the Maple program.
The 1st written test will have a quotation of 8 values and the 2nd written test will have a quotation of 9 values.
Each mini-test, lasting 20 to 30 minutes, will be priced at 0.5 value.
|
|
Language |
Portuguese. Tutorial support is available in English.
|