Base Knowledge
Mathematics (high school).
Teaching Methodologies
It provided students with a theoretical support, throughout the semester, so that they can better follow the explanation of the subjects taught. The use of applied exercises requires students to closely monitor the progress of the subjects. The clarification of questions is done in time provided for the purpose or in time to be arranged. The NONIO platform is used in the transmission and organization of support to school materials as well as through interaction teacher / student and among students.
Learning Results
The main goal of mathematics is to direct the students in the study of complex numbers as well as the fundamental
concepts of differential and integral calculus, which will be useful in courses of specialty. More general
formulations of the various results are not presented, but rather essential to understand the basic concepts and to
understand the relation between the various concepts. It highlighted the close link between the theory and the
practice of differential and integral calculus, appealing to intuition as the main source of mathematical creation, but
without losing in accuracy and precision.
Program
1. Complex numbers (15 hours)
11 algebraic form; algebraic and geometric properties;
1.2 polar and exponential forms; argument and modulus of a complex number; algebraic and geometric properties;
1.3 De Moivre formulas
1.4 operations of addition, multiplication and division of complex numbers; power and n-th root.
2. Integrals and Primitives (15 hours)
2.1 Indefinite integral or Primitives
2.1.1.Immediate integrals
2.1.2. Integration by parts
2.1.3 Integration by substitution
2.1.4 Integration of rational functions
2.2 Definite integral
2.2.1 definition and properties
2.2.2 integration by substitution and integration by parts
3 – Differential Equations (12 hours)
3.1. Introduction: the order of equation, general and particular solutions, initial value.
3.2. First order equations
3.2.1 separable equations
3.2.2 linear equations
3.2.4 applications
Evaluation (3 hours).
Curricular Unit Teachers
Internship(s)
NAO
Bibliography
Referências primárias:
1.Acilina Azenha, Maria Amélia Jerónimo(1995), Elementos de Cálculo Diferencial e Integral em R e IRn, McGraw-Hill.
2. Eduardo J.C. Martinho, J. da Costa Oliveira, M. Amaral Fortes (1985), Matemática para o estudo da Física, Fundação Calouste Gulbenkian
3. J. J. Pedroso de Lima, F. J. A. Caramelo, J. M. C. Rosa, R. C. Reis, F. Alte da Veiga (2006). Biomatemática. Uma Introdução para o Curso de Medicina, 2a edição, Imprensa de Universidade de Coimbra.