Degree in Health Engineering La Salle Campus Barcelona

Bachelor in Health Engineering

Lead the biomedical engineering that will define the medicine of the future

Mathematical analysis I

Description: 
This subject presents the student with the basic topics of mathematical analysis that any engineering student requires to understand the concepts of the career, focusing on the field of differential and integral calculus of a single variable. The aim is for the student not to be limited to theoretical definitions and demonstrations, but to be able to apply this knowledge to problem solving.
Type Subject
Primer - Obligatoria
Semester
First
Course
1
Credits
6.00

Titular Professors

Previous Knowledge

It is recommended to have basic knowledge of trigonometry, polynomials, exponentials and logarithms.

Objectives

Students who take this subject acquire the knowledge and develop the skills indicated below:

1. Achieve basic concepts of analysis of real functions of a real variable and their applications.
2. Achieve skills in calculating limits, studying functions, calculating integrals and solving convergence problems in general.
3. Understand and relate basic results and proofs.
4. Ability to analyze and synthesize a given problem.
5. Ability to solve problems using the relevant mathematical tools in the world of engineering.
6. Know how to use analytical and numerical tools to analyze real functions of a variable, in order to apply them in scientific and technical issues.

Contents

1. The numbers.
2. Functions.
3. Derivability.
4. Apllications of the derivative..
5. Calculation of primitives.
6. The Riemann integral and its applications.

Methodology

The methodology used in this subject separates classes into two types: theoretical classes, and sessions dedicated to the exercise of the knowledge acquired in theoretical classes.

Evaluation

In order to assess whether the student has achieved the objectives pursued in the subject to an adequate degree, different tests are used to obtain data from the student:

Exams: During the course, 2 main exams are held: a control point in November and the final exam in January.

Controls or exercises carried out in class.

Participation in class.

Personal or group practices.

Evaluation Criteria

The final grade for the subject is calculated as follows: 70% exam grade, and 30% continuous assessment grade. The control point exam is subject-free. The continuous assessment grade is obtained by taking a weighted average of the class tests, the practicals and the submission of exercises. If the subject is not passed, there is an extraordinary call in July with a single exam of the entire syllabus.

Basic Bibliography

Cálculo Diferencial e Integral. Piskunov, N. Editorial Mir , 1983

Additional Material

Cálculo I. Teoría y problemas. Alfonsa García et al. Editorial GLACSA, 1994
Problemas resueltos de cálculo en una variable. Tomeo, V. ; Uña, I. ; San Martín, J. Madrid : Thomson, 2007.