2025
Mathematics I
Name: Mathematics I
Code: MAT00933L
6 ECTS
Duration: 15 weeks/162 hours
Scientific Area:
Mathematics
Teaching languages: Portuguese
Languages of tutoring support: Portuguese, English
Regime de Frequência: Presencial
Sustainable Development Goals
Learning Goals
General objectives: Given the programmatic content and develop the analytical skills of abstraction, intuition and logical thinking. Ability to apply knowledge and skills acquired in the programmatic content.
Theoretical skills in general: Given the programmatic content understand and use mathematical language. Realize and be able to learn independently new knowledge and techniques. Have a basic training related to the Mathematics syllabus.
Practical skills of general: Solve problems of mathematics through basic knowledge of calculus and other techniques. Plan the solution of a problem depending on the tools we have and the constraints of time and resources. Have a basic training related to the Mathematics syllabus
Theoretical skills in general: Given the programmatic content understand and use mathematical language. Realize and be able to learn independently new knowledge and techniques. Have a basic training related to the Mathematics syllabus.
Practical skills of general: Solve problems of mathematics through basic knowledge of calculus and other techniques. Plan the solution of a problem depending on the tools we have and the constraints of time and resources. Have a basic training related to the Mathematics syllabus
Contents
1. Topological concepts in R
2. Differential calculus in R
3. Primitives
4. Integration
5. Applications of integral calculus
6. Improper integrals
7. Numerical series
8. Power series
9. Ordinary Differential Equations
2. Differential calculus in R
3. Primitives
4. Integration
5. Applications of integral calculus
6. Improper integrals
7. Numerical series
8. Power series
9. Ordinary Differential Equations
Teaching Methods
Lectures with exposition of the concepts and results, which are illustrated with examples of application. Practical classes, where exercises are solved in which the concepts and results taught in lectures are applied.
Special emphasis is given to problems that link the tools developed with the concepts studied, and exercises are available for an effective follow-up and consolidation of the knowledge.
The evaluation comprises two aspects: continuous evaluation and by exam. The continuous evaluation, to be carried out during the academic period, consists of several frequencies, and possibly other evaluation elements to be agreed with the students. The assessment by exam consists of a global exam, to be performed in the normal period and/or in the period of appeal.
Both in the continuous assessment and for the regular exam, students are required to attend at least 75% of practical classes. Moreover, students may also be required to have a minimum percentage of attendance at lectures.
Special emphasis is given to problems that link the tools developed with the concepts studied, and exercises are available for an effective follow-up and consolidation of the knowledge.
The evaluation comprises two aspects: continuous evaluation and by exam. The continuous evaluation, to be carried out during the academic period, consists of several frequencies, and possibly other evaluation elements to be agreed with the students. The assessment by exam consists of a global exam, to be performed in the normal period and/or in the period of appeal.
Both in the continuous assessment and for the regular exam, students are required to attend at least 75% of practical classes. Moreover, students may also be required to have a minimum percentage of attendance at lectures.
Teaching Staff
- Sandra Maria Santos Vinagre [responsible]
Accreditations and Certifications
