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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: [email protected]
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 %