Degree in Health Engineering La Salle Campus Barcelona

Degree in Health Engineering

Lead the technological advances that will define the medicine of the future.

Mathematical analysis II

Description
Every engineering graduate must have knowledge and mastery of fundamental mathematical tools in such diverse areas of engineering as signal and image processing, acoustics, digital communications, computer graphics or artificial intelligence. The objective of the subject is to advance in the knowledge of the mathematical tools that a technological degree requires, specifically those related to multivariable differential and integral calculus.
Type Subject
Primer - Obligatoria
Semester
Second
Course
1
Credits
6.00

Titular Professors

Previous Knowledge

Differential and integral calculus of functions of a single variable. Vector spaces and basic properties.

Objectives

Students acquire the knowledge and develop the skills indicated below:
1. Know how to analyze and represent real multivariable functions.
2. Know the concepts related to optimization, with and without restrictions, of multivariable functions.
3. Understand and know how to apply the fundamental concepts of integration in various variables and their applications.

Contents

1. Functions of real variables: definition, domain, limit, continuity.
2. Partial derivatives.
3. Differentiability.
4. Directional derivative.
5. Tangent plane and normal line.
6. Multivariable optimization.
7. Double integrals.
8. Triple integrals.

Methodology

The usual dynamics of each class will consist of a combination of theoretical explanations always followed by the performance of exercises that exemplify what has just been explained.
Additionally, the subject's electronic portfolio provides resources so that the student can carry out self-learning and self-assessment activities.
Finally, and with the aim of achieving an applied vision of the mathematical concepts of the subject, practical exercises will be carried out outside of class hours.

Evaluation

See electronic folder of the subject.

Evaluation Criteria

See electronic folder of the subject.

Basic Bibliography

See electronic folder of the subject.

Additional Material

See electronic folder of the subject.