Publication in the Diário da República: Despacho n.º 12419/2016 - 14/10/2016
6 ECTS; 1º Ano, 2º Semestre, 30,0 T + 45,0 TP + 5,0 OT , Cód. 81435.
Lecturer
- Maria Helena Morgado Monteiro (2)
(1) Docente Responsável
(2) Docente que lecciona
Prerequisites
Knowledge of secondary school Algebra and Functions is assumed.
Objectives
a) Know and apply basic mathematical procedures used in the degree programme;
b) Interpret data, formulate and solve problems involving derivation and integration of functions of one variable;
c) Represent functions as a power series and calculate approximate values
Program
1.Real functions.
2.Differential calculus - definitions, differentiation formulas, derivatives and its application - differential, extreme values, extremum problems.
3.Integral calculus - indefinite integral, definite integral - calculation of an area of a region between two graphs, volume of a solid of revolution and length of a plane curve.
4.Series: series of numbers and series of functions- representation of functions by series and calculate approximate values
Evaluation Methodology
Ongoing assessment: three written tests (0-20) with minimum mark of 5.
Exam assessment: a written test (0-20).
Minimum mark to pass the exam is 10. Pass mark for ongoing assessment is the weighted average of the 3 tests and must total 10.
Bibliography
- Edwards, B. e Hostetler, R. e Larson, R. (2006). Cálculo. (Vol. I). São Paulo: McGraw-Hill
- Monteiro, H. (2018). Apontamentos de Cálculo. (Vol. ). Abrantes: ESTA
- Stewart, J. (2002). Cálculo. (Vol. 1). São paulo: Pioneira Thomson Learning
- Tavares, J. (0). Temas de Matemática Elementar. Acedido em 30 de dezembro de 2015 em http://cmup.fc.up.pt/cmup/apoiomat/manual_apoiomat_v1.pdf
Teaching Method
Lectures dealing with the fundamentals of Calculus and its applications. Practical classes involve practising with calculus techniques and the application of skills and knowledge.
Software used in class
