Syllabus Information

1.2. Recommendations to take this course

5.1. Methodological overview

1      Theoretical classes with the development of case studies.

2      Problem solving classes.

3      Computer practices in which the student uses free scientific calculation programs (OCTAVE , SAGE or similar )

4      Subject program with the following blocks:

• FUNCTIONS
• LIMITS AND CONTINUITY
• DIFFERENTIAL CALCULUS OF ONE VARIABLE FUNCTIONS
• INTEGRAL CALCULUS OF ONE VARIABLE FUNCTIONS
• LINEAR ALGEBRA

5.2. Learning tasks

Formative activity 1: Acquisition of basic knowledge of mathematics.

Methodology: Participatory Lectures in large group; Tutorials (small and/or individual groups).

Formative Activity 2: Problem Solving and analysis of case studies.

Methodology: problem-based learning. Teamwork and individual.

Formative Activity 3: Use of scientific calculation programs for problem solving. Methodology: Learning to manage scientific calculation programs. Work experience

5.3. Syllabus

- Elementary functions. Graphs.

- Limits of functions. Continuity. Bisection method.

- Derivatives. Calculation and geometric and physical interpretation. Application of derivatives: maximum and minimum. Newton method. Interpolation.

- Indefinite integrals. Change of variable, integration by parts, integrals of rational and trigonometric functions.

- Definite integral. Barrow’s rule. Applications: Areas, volumes and lengths. Numerical integration.

- Matrices. Operations. Properties.

- Determinants. Cramer's rule.

- Linear systems. Gauss’ method. Least squares method.

- Eigenvalues and eigenvectors.

5.4. Course planning and calendar

Schedule sessions and presentation of works:

• Theoretical classes and problems: twice a week
• Computer sessions: classes of 1-2 hours in small groups
• Meetings with the teacher to deal about the subject

( NOTE : the specific dates will be updated when available)

5.5. Bibliography and recommended resources