Base Knowledge
Secondary education mathematics – Scientific branch
Teaching Methodologies
In the theoretical lectures, the formal bases of the course unit are presented together with practical examples and applications. Problem solving is
carried out in practical classes. The Moodle platform – virtual lab math (lvm) – is used to provide all the material of lectures and support
worksheets for every lesson TP. Regarding the assessment, students can opt for a final exam, worth 20 values, or the following method of
distributed evaluation: A. Test 1 with 6 values; B. Test 2 with 3 values; C. Final exam with 11 values. The final grade will be the grade of A + B + C.
Students that opt for distributed evaluation need a minimum of 75% attendance in practical classes taught. The completion of the first test
assumes that the student has opted for distributed evaluation.
Learning Results
Knowledge of the basics of mathematical analysis and comprehension and appliance of integral calculus on IR. Understanding the fundamental
concepts of matrices. Solve and interpret real problems. The student is expected to be able to: Explain the concepts, discuss and present each
problem solution in an appropriate way; Solve practical problems with an increasing autonomy; Find and select relevant information from different
sources such as textbooks and the web.
Program
1. Real Functions on IR – Hyperbolic functions; Inverse trigonometric functions.
2. Antiderivatives. Integration techniques: decomposition, parts and substitution, and of trigonometric and rational functions.
3. Integral Calculus on IR. Definite integral (Riemanns integral); Fundamental theorem of calculus; Applications of integrals to the evaluation of
areas, volumes and length of a curve; Indefinite and improper integrals.
4. Linear Algebra. Matrices, Systems of Linear Equations and Determinants.
Curricular Unit Teachers
Grading Methods
- - Exame Final - 100.0%
- - Teste 1 (6 valores) +Teste 2 (3 valores)+ Teste 3 (11 valores) - 100.0%
Internship(s)
NAO
Bibliography
1. Larson, R., Hostetler, R.P. e Edwards, B.H., Cálculo Vol. 1, McGraw-Hill, 2006, (Capítulos 1,2,3).
2. Rodrigues, R., Notas Teóricas de Análise Matemática, Departamento de Física e Matemática, Secção de textos do ISEC (Capítulos 1,2,3).
3. Ferreira M.A.M. e Amaral, I., Álgebra Linear: Matrizes e Determinantes, Vol.1, Edições Sílabo, 2006, (Capítulo 4).
4. Fidalgo, C., Álgebra Linear, Departamento de Física e Matemática, Secção de textos do ISEC (Capítulo 4).