UMH - DIFFERENTIAL EQUATIONS

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DIFFERENTIAL EQUATIONS

Course

Code: 1227

Degree: Bachelor's in Mechanical Engineering

School of Engineering of Elche

Year: Year 1 of Bachelor's in Mechanical Engineering

Semester: Spring

Type: Core

Language: Spanish

ECTS credits: 6

Lecture: 3

Laboratory: 3

Hours: 150

Directed: 60

Shared: 4

Autonomous: 86

Subject matter: Mathematics

Module: Core

Department: Statistics, Mathematics and Informatics

Area: APPLIED MATHEMATICS

Course instructors are responsible for the course content descriptions in English.

Description

Resolution of mathematical problems that can arise in engineering: differential equations and partial derivatives.

Faculty

Name	Coordinator	Lecture	Laboratory
VALERO CUADRA, JOSÉ	■
CARRILLO ZAPATA, BLAS FRANCISCO		■	■
CREVILLEN GARCIA, DAVID			■
SANCHEZ MARTINEZ, JOSE RAFAEL			■

Competencies and learning outcomes

General competencies

Knowledge about basic and technological material that enable learning new methods and theories, providing versatility for adapting to new situations.

Specific competencies

Capacity for solving mathematical problems that may arise in engineering. Aptitude for applying knowledge about linear algebra, geometry, differential geometry, differential and integral calculus, differential equations and in partial derivatives, numerical methods, numerical algorithms, statistics, and optimization.

Objectives (Learning outcomes)

01To familiarize oneself with the techniques of analytical resolution of some first order ordinary equations.
02To familiarize oneself with the techniques for solving higher order linear equations and linear systems.
03Understand the basic techniques of qualitative analysis of solutions for first order equations and linear systems in dimension two.
04Learn the basic types of boundary-value problems as a basis for studying partial differential equations.
05Gain knowledge about numerical methods for solving differential equations.
06Develope skills in using Matlab and programming of numerical methods.

Teaching units

Association between objectives and units

Objective/Unit	U1	U2	U3	U4
01
02
03
04
05
06

Schedule

Week	Teaching units	Directed hours	Shared hours	Autonomous hours	Total hours
1	U1	2	0	4	6
2	U1	4	0	4	8
3	U1	4	0	6	10
4	U1	4	0	6	10
5	U1	6	0	6	12
6	U2	4	0	6	10
7	U2	2	0	6	8
8	U1,U2	6	0	6	12
9	U2	4	0	6	10
10	U1	2	0	6	8
11	U3	4	0	6	10
12	U3	2	0	6	8
13	U3	6	0	6	12
14	U3,U4	4	0	6	10
15	U4	6	4	6	16

Basic bibliography

Complementary bibliography

Software

MATLAB 2015A

Methodology and grading

Methodology

Lecture: Pass on knowledge and activate cognitive processes in students, encouraging their participation.
Problem-based learning: Develop active learning strategies through problem solving that promote thinking, experimentation, and decision making in the student.
Solving exercises and problems: Exercise, test, and apply previous knowledge through routine repetition.

Grading

The final mark for the course is obtained through a weighted sum of the final exam, computer practices and the tutorials. The weight of each item is:

Final exam: 75%
Computer practices: 20%
Tutorials: 5%

In the extraordinary exams the final mark will be obtained by a weighted sum of the final exam and computer practices. The weight of each section is as follows:

Final exam: 80%
Computer practices: 20%

Academics: DIFFERENTIAL EQUATIONS