Mathematical Analysis

The teaching methodology is based on theoretical-practical classes that combine the presentation of concepts with critical discussion and the resolution of real-world problems, promoting the practical application of knowledge. It is complemented by individualised support to foster critical thinking and creativity, in line with a student-centred pedagogical model oriented towards active learning.

After completing the curricular unit, the student should achieve the following objectives:

Knowledge – Recall and understand the fundamental concepts of differential and integral calculus, as well as ordinary differential equations.

Skills – Apply these concepts to solve practical problems, analyse solution methods and assess their suitability.

Competences – Create strategies to solve problems involving integrals and differential equations, developing autonomy and critical thinking.

The teaching method, based on the immediate application of concepts and detailed discussion in class, is compatible with these objectives as it promotes active learning, consolidation of knowledge and the development of competences such as analysis, evaluation and creation. This approach enables understanding of concepts, application of strategies to problem-solving and the development of autonomy and critical thinking, ensuring coherence with the defined objectives.

Competence 1 – 1.1. Derivatives; 1.2. Antiderivative; 1.3. Definite integrals; 1.4. Areas and volumes using definite integrals; 1.5. Improper integrals

Competence 2 – 2.1. Ordinary differential equations of separable variables; 2.2. Linear ordinary differential equations; 2.3. Bernoulli ordinary differential equations

NAO