Elementos de Matemática

Student learning takes place in theoretical-practical classes with different approaches. Concepts are presented and exercises are solved on
the board and interpreted using software. Students have access (via the Moodle platform and the InforEstudante platform) to theoreticalpractical
notes on the various syllabuses, which accompany the sequence and structure of the lectures. Students have the opportunity to
interpret and illustrate the fundamental concepts by making dynamic objects using GeoGebra during the lessons. Students are encouraged
to use computer applications, such as Wolfram Alpha, Symbolab, GeoGebra, ChatGPT, in their self-study process, in a constructive way,
when interpreting results and solving problems. During the lessons, some work can be done so that the students can see if the subjects
have been understood and properly studied. Some subjects are presented using the concept of a flipped classroom, allowing students to
get to know and interpret certain content beforehand.

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.

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

NAO