Mathematics
| Áreas Científicas |
| Classificação |
Área Científica |
| CNAEF |
Mathematics |
Ocorrência: 2020/2021 - 1S (on the 01-09-2020 a 31-07-2021)
Ciclos de Estudo/Cursos
Docência - Responsabilidades
Língua de trabalho
Portuguese
Objetivos
Acquire skills in analytical, graphical analysis and implementation of concrete strategies of trigonometric, exponential and logarithmic function,among others; acquire notions of analytic geometry and matrix calculus.
Resultados de aprendizagem e competências
Not applicable
Modo de trabalho
Presencial
Programa
1. Matrix calculus: Notion of matrix; matrix operations. Classification of square matrices. Systems of Linear Equations: Representation of a system of linear equations in matrix form. Solving systems of equations using the Gauss method; 2. Trigonometry: Trigonometric ratios. Fundamental formula of trigonometry. Trigonometric circle. Application of trigonometry in solving elementary problems; 3. Real functions of a real variable: continuity and differentiability. Real function definition of a real variable, of the domain and counterdomain. Analytical and graphical representation of functions. Notion of a function boundary and boundary properties. Continuity interval of a function. Definition of derivative of a function at a point, derivative function and rules of derivation. Derivative of the composite function and higher order derivatives; 4. Integration of real functions: Notion of primitive and immediate primitives. Definite integrals and the fundamental theorem of calculus. Application of defined integrals in the calculation of areas of regions in the plan.
Bibliografia Obrigatória
Ferreira, J. C. ; Introdução à Análise Matemática, Fundação Gulbenkian, 8a ed., 2005
L. Magalhães; Álgebra Linear, como Introdução a Matemática Aplicada, Texto Editora
Bibliografia Complementar
Apostol, T. ; Calculus, Vol. I, second edition, Wiley, 1967
S. Lang; Introduction to Linear Algebra, Springer
Métodos de ensino e atividades de aprendizagem
Theoretical classes with lecturing periods with application examples followed by small tasks to be done by the students in order to consolidate the contents previously taught. Practical classes dedicated to problem s
Tipo de avaliação
Distributed evaluation with final exam
Componentes de Avaliação
| Designation |
Peso (%) |
| Teste |
100,00 |
| Total: |
100,00 |
Componentes de Ocupação
| Designation |
Tempo (Horas) |
| Estudo autónomo |
109,50 |
| Frequência das aulas |
52,50 |
| Total: |
162,00 |
Obtenção de frequência
Not applicable
Fórmula de cálculo da classificação final
Continuous assessment
- 1/4*test1+1/4*test2+1/4*test3+1/4*test4
Final assessment