22

Semester 2

[2016-2017]

Syllabus MAT463

-- Modeling and Simulation --

D. Samy MZIOU

[College Of Science]

[Depart. Of Mathematics & Statistics]

[February 15, 2017]

2 2

Course information

Instructors LECTURER: SAMY MZIOU AND FEHIR TALI

TUTOR: ASRA SULTANA

Credits 4

Prerequisite: MAT333, MAT434

E-Mail: mzious@imamu.edu.sa

office Phone : 94583

Office Location: Department of Mathematics, College of Science, 2nd floor, Office FR062

Course Site

Class Times See my Time table.

Office Hours: See my Time Table

Textbook:

Mathematical Modeling and Simulation:

Introduction for Scientists and Engineers Kai Velten

ISBN: 978-3-527-40758-3

WILEY

Introduction to Simulink® with Engineering

Applications, Steven T. Karris Orchard Publications (2006)

ISBN 978-0-9744239-8-2.

Course goals:

The aim of the course is to give the participant a basic understanding of the

mathematical modeling process by discussing examples, mainly from

physics, biology and management science represented mathematically by

ODEs or PDEs. Matlab/Simulink will be introduced and used as a prob

lem solving tool. Various techniques in modeling as well applications are

considered.

Notice: All students are requested to ask any questions concerning the course only during

office hours.

3 3

Detailed Syllabus

Week Topics Chapter

2 Concept; Objectives; Methods and tools 1. Introduction to Mathematical Modeling Process

3 Mathematics is the natural modeling language.

Definition of mathematical models.

5 Modeling with Differential Equations: Population

dynamic; Electrical Circuits; Mechanical Systems;

2. Modeling Continuous Systems

3 Biological models (Lotka-Volterra systems, Predator-Prey

systems).

3 Modeling with Partial Differential Equations: Linear

Temperature Diffusion; One-dimensional Hydrodynamic

model.

8 Mathematical problems for linear Wave model; Heat

diffusion, Wave vibration)

Midterm 1

4 Modeling with difference equations

3. Modeling Discrete Systems

3 Modeling with data

2 Discrete Velocity Models

3 Continuous Vs. Discrete Models

3 Block-Digrams

4. Simulation

3 State-Space Model; Transfer Functions, State-space Vs.

transfer function.

2 Stability and pole locations;

5 Introduction to Matlab\Simulink (Starting Simulink, Basic

Elements, Building a System , Running Simulations)

5 Simulation of some models (case study models) and

Analysis of Simulation results

Main references:

1. An Introduction to Mathematical Modeling, Edward A. Bender, Edition 1, Wiley, 1978.

2. Modeling and Simulation of Systems Using MATLAB and Simulink, Devendra K.

Chaturvedi, CRC Press 2009.

4 4

3. System Modeling and SIMULATION: an introduction, Frank L. Severance, John Wiley

and Sons, 2001.

4. Mathematical Modeling:A Comprehensive Introduction, Gerhard Dangelmayr and

Michael Kirby, Prentice Hall, 1st ed. (1999).

Helpful links:

1. https://www.mathworks.com/

2. https://www.khanacademy.org/computing/computer-programming/programming-natural-

simulations

Grades and Exams

Exam Date

Grading Scale

Letter Grade A+ A B+ B C+ C D+ D F

Percentage 95-100 90-94 85-89 80-84 75-79 70-74 65-69 60-64 < 60

The Minimum Pass Mark is 60%

Exams Grading

Home works,

assignments Almost each week Midterm 20 %

Midterm 1 Around 9th-10th week Lab Exam 20 %

Lab Exam Around 11th-12th week

Home works & assignments

20% Quizzes

Attendance

Class participation

Final Around 15th-16th week Final Exam 40 %