Elementos de Matemática

Base Knowledge

Knowledge and mastery of the subjects taught in Mathematics of the secondary school.

Teaching Methodologies

The expository method will be accompanied by the resolution of exercises, individually or in groups, with the coordination of the teacher. In a more practical aspect, open source software (GeoGebra and others) will be used to solve exercises and problems.

In addition to face-to-face classes, where students are constantly encouraged to participate and thus are not merely passive listeners, students are also encouraged and even assessed based on their participation in online activities (e-activities) available on the course page on the moodle@isec platform.

Learning Results

The syllabus includes mathematical topics that are essential for students to be able to understand the subjects taught in the different curricular units of the degree in sustainable city management.

Students need to understand and know the main units of measurement, calculate with real numbers, understand and know various real functions with real variables, interpret and know how to calculate the derivative, calculate with matrices and solve systems of linear equations. They should be able to apply these concepts to solve problems.

The aim is for students to develop the following skills: autonomy, research, critical thinking, problem interpretation, reasoning and the use of software to interpret and carefully solve problems.
These objectives are worked on continuously in classes where concepts are presented, interpreted and illustrated (using software) and application problems are solved.

Program

1. Units of the international system of units of measurement
2. Real numbers and real functions of real variables
3. Derivatives and differential calculus
4. Matrices and systems of linear equations
5. Polynomial interpolation

Curricular Unit Teachers

Arménio António da Silva Correia

Internship(s)

NAO

Bibliography

Anton, H. (2000), Cálculo – um novo horizonte (6ª ed.), Volume 1. Bookman. (Two books available at Library of ISEC: 3-2-150 e 3-2-242)

Swokowski, Earl W. (1983). Cálculo com geometria analítica, Volume 1. McGraw­Hill (many books available at the Library of ISEC) 

Material available on the course page on the moodle@isec platform (Pre-Calculus notes, exercise sheets, etc.)