Mathematics I

Presentation

The class of Matemática I furnishes the tools needed to develop the quantitative techniques needed for
 the whole duration of the course as well as in the future professional life.

Part of this Programme

Economics

Level of Qualification|Semesters|ECTS

| Semestral | 6

Year | Type of course unit | Language

1 |Mandatory |Português

Code

ULHT32-1

Recommended complementary curricular units

Matemática II

Prerequisites and co-requisites

n/a

Professional Internship

Não

Syllabus

1. Matrices
Definition; Matrix algebra; linear independence; rank of a matrix; application to systems of linear
equations; matrix inversion.

2. Determinants
Definition; Theorem of Laplace; Adjunct matrix and inverse; Cramer's rule.

3. Exponential and logarithm functions
Inverse functions; exponential function; logarithm function; Applications to Economics.

4. Limits and continuity
Definition; calculating limits; continuity

5. Derivatives
Definition and derivation rules; diferentials; derivative of the implicit function; relative extrema; Hôpital's
rule; applications to Economics.

Objectives

Students will gain a set of theotical and practical capacities that will allow them to understand andundertake research projects in Economics, Management and Accountacy, with an emphasis on themathematics of Real Calculus and Linear Algebra.

Teaching methodologies and assessment

The lectures are in a theoretical/practical setting.
For the continous assesment there are two written tests that are given equal wait and correspond to 90%
of the final grade. The other 10% are given for participation in class and attendance (minimum of 75%).
The student is approved if the final grade is equal or larger than 10.

References

Sydsaeter K., Hammond P. e Strom, A (2012), Essential Mathematics for Economic Analysis; Prentice
Hall.

Jacques, I. (2013), Mathematics for Economics and Business; Prentice Hall.

Ferreira M. A. M. e Amaral I. (2008), Matem ¿atica - Algebra Linear ¿ 1o Vol.; Edições Sílabo.

Larson R., Hosteller R.P. e Edwards B.H. (2006), Cálculo - Vol. 1 ; McGraw-Hill.

Chiang A. (1982), Matemática para Economistas; McGraw-Hill.

Flemming D. M. e Gonçalves M. B. (1992), Cálculo A : funções, limite, derivação, integração; Ed.
Makron Books, 5a ed.

Office Hours