- GENERAL COMPETENCES (CGB1): Ability to resolve the mathematical problems that may arise in engineering.
Ability to apply knowledge about: linear algebra; differential and integral calculus; differential equations and partial differential equations; numerical methods and numerical algorithmic.
- SPECIFIC COMPETENCES: The objective of the course is to provide the student with the necessary tools to understanding the scientific and mathematical principles of Computer Engineering.
The LEARNING RESULTS that are acquired in Applied Differential Calculus are of type R1
(knowledge and understanding). "Knowledge and understanding of the scientific and mathematical principles of Computer Engineering"
The specific competences of the subject have been divided into three sections:
- Know how to solve linear and nonlinear ordinary differential equations of first order and interpret results.
- Know how to solve linear ordinary differential equations of second order.
- Know how to calculate the Laplace transform and how to use it to solve differential equations.
- Know how to solve systems of linear differential equations of first order.
- Understand the concept of Fourier series and using it to solve differential equations.
- Know how to use numerical methods to compute approximate solutions of non-linear differential equations.
- Increase the level of abstraction.
- To be able to solve practical problems using differential equations.
- Ability to communicate orally and in writing correctly using signs and the language of mathematics.
- Ability to model a real situation described in words by differential equations.
- Ability to interpret the mathematical solution of a problem, their reliability and limitations.