Base Knowledge
N/A
Teaching Methodologies
Not available
Learning Results
It is intended to provide students with the basic mathematical knowledge required in the professional training of a senior professional technician in the area of Computer Science and it is expected that, at the end of the course unit, the student will be able to:
1. understand analytically and geometrically the concept of derivative of a function at a point,
2. derive real functions of real variable using appropriate rules;
3. analyze and apply the rules and methods of primitivation in IR appropriately,
4. compute indefinite integrals, definite integrals and improper integrals in IR ,
5. analyze, synthesize and articulate information to solve problems using differential and integral calculus.
Program
1. Real functions of real variable – reviews: affine, quadratic, exponential, logarithmic and trigonometric functions.
2. Differential calculus in R: derivation of functions.
3. Primitivation of real functions of real variable: definition and properties; immediate primitivation; methods of primitivation: primitivation by parts; primitivation of rational functions; primitivation of trigonometric functions; primitivation by substitution.
4. Integral calculus: definite integral; applications of definite integral: calculating areas, volumes and arc lengths of curves; improper integrals.
Curricular Unit Teachers
Internship(s)
NAO
Bibliography
Campos Ferreira, J. (2014). Introdução à Análise Matemática (11ªEd). Fundação Calouste Gulbenkian.
James, G. (2020). Modern Engineering Mathematics (6th Ed). Pearson.
Lima, E. L.(2016). Análise no Espaço lR^n (2.ª ed.). Instituto Nacional de Matemática Pura e Aplicada.
Lima, E.L. (2016). Análise Real – Vol. 2 (6.ª ed.). Instituto Nacional de Matemática Pura e Aplicada.
Kreyszig, E. (2011). Advanced Engineering Mathematics (10th Ed). John Wiley & Sons.
Stewart, J. (2017). Cálculo, Vol. 2 (8ª Ed.). São Paulo: Cengage Learning