1. MATLAB for Scientist and Engineers
using Symbolic Toolbox
Byoung-Jo CHOI, PhD
University of Incheon
Computer Applications Lab.

2. References Symbolic Math Toolbox™ 5 MuPAD® Tutorial, MathWorks
Symbolic Math Toolbox™ 5 User's Guide
Mastering MATLAB 7, Duane Hanselman and Bruce Littlefield, Pearson/Prentice Hall, 2005
Numerical Computing with MATLAB, Cleve Moler, MathWorks
임종수의 MATLAB7, 높이깊이, 2009
MATLAB: An Introduction with Applications, Amos Gilat, John Wiley & Sons, Inc., 2004
Graphics and GUIs with MATLAB, 3rd Ed, Patrick Marchand and O. Thomas Holland, Chapman & Hall/CRC, 2003

3. MATLAB for Scientist and Engineers Using Symbolic Toolbox
Course Introductions
MATLAB
for Scientist and Engineers
Using Symbolic Toolbox

4. Old History of MATLAB 1967: "Computer solution of linear algebraic
equations", Forsythe and Moler
1976: "Matrix Eigensystem Routines,
EISPACK Guide" in FORTRAN
1976~9: "LINPACK" in FORTRAN
1977~: "MATLAB Environment", Cleve Moler
1971: "Handbook for automatic computations" in ALGOL,
J. H. Wilkinson et. al.
Cleve Moler
(1939~)
J.H.Wilkinson, UK
(1919~1986)
Jack Little
1979: "Numerical analysis" lecture at Stanford,
met with Jack Little, then an engineering student
1984: MathWorks founded by Jack and Moler

5. Further Digging Resources
Video: The Origins of MATLAB at MathWorks.com
Meet Mr Matlab at Scientific Computing World
Cleve Moler at Wikipedia
BLAS at Netlib.org
Maple at Wikipedia and Maplesoft.com

6. Matrix Arithmetic, Eigen Analysis, ...
MATLAB? Matrix Laboratory
Matrix Arithmetic, Eigen Analysis, ...
>> b=floor(10*rand(3))
b =
>> a=magic(3)
a =
>> c=a*b
c =
>> d=a/b
d =

7. Graphics & Visualization

8. Graphical User Interface
fifteen
fdatool
Try them for yourself!
xpbombs

9. Toolboxes

10. SIMULINK Model-based design environment
Ref: Help – Video and Image Processing Blockset – Demos – Motion Detection

11. Ref: Help – MATLAB – Getting Started – Introduction – Product Overview
They Use MATLAB for …
Math and computation
Algorithm development
Data acquisition
Modeling, simulation, and prototyping
Data analysis, exploration, and visualization
Scientific and engineering graphics
Application development, including graphical user interface building
Ref: Help – MATLAB – Getting Started – Introduction – Product Overview

12. Ref: Help – MATLAB – Getting Started – Introduction – Product Overview
The MATLAB System
The MATLAB system consists of these main parts:
Desktop Tools and Development Environment
Mathematical Function Library
The Language
Graphics
External Interfaces; API +
Toolboxes: MATLAB function packages
Simulink: Model-based design
Blocksets: Simulink model packages
Ref: Help – MATLAB – Getting Started – Introduction – Product Overview

13. What is Symbolic Computing
Position of an oscillating mass:
Velocity?
General Solution
View underlying mathematics
Ref: Webinar – Symbolic Computing Tools for Academia

14. Symbolic Math Usage in Academia
Ref: Webinar – Symbolic Computing Tools for Academia

15. Working w/t Symbolic Math Toolbox
From MATLAB
Perform symbolic computations using familiar MATLAB syntax
From Notebook Interface
Conveniently manage & document symbolic computations
Math notation, embedded text, graphics
Access complete MuPAD language
15+libraries of symbolic math functions
Sharing
Ref: Webinar – Symbolic Computing Tools for Academia

16. Demo: Mass-Spring-Damp System
Dynamic Equation Initial Conditions Symbolic Math Solution
Ref: Webinar – Symbolic Computing Tools for Academia
mass_spring_damp_system.mn

17. Symbolic Math Toolbox Libraries
Calculus
Differentiation
Integrals
Jacobian
Taylor series
Limits
Solving Equations
Algebraic Equations
Differential Equations
Transforms
Fourier transform
Laplace transform
Z-transform
Simplification
Polynomial Expansion
Substitution
Linear Algebra
Operations
Eigenvalues
Special Functions
Bernoulli, Bessel, Beta, …
Fresnel sine/cosine integral, Gamma
Variable Precision Arithmetic
Plotting
2-D
3-D contour, surface, mesh
Animations
Ref: Webinar – Symbolic Computing Tools for Academia

18. Course Overview Symbolic Computing using MuPAD
14 Weeks + MidTerm Exam + Final Exam
Text: MuPAD Tutorial available in PDF
Ref: Symbol Math Toolbox 5 – User's Guide

19. Overview: Symbolic Computation
First Taste of MuPAD (Ch1~4)
MuPAD Language (Ch 5~9)
Graphics (Ch 10)
Applications (Ch 11~13)

20. Lecture Layout On-Line Lecture: Review Lecture: 20min Lab: 80min
Study the lecture material in advance using lecture notes and video recording.
On-line quiz
Review Lecture: 20min
Brief Review – 10min.
Q&A – 10min.
Lab: 80min
Pair Work
Demonstrate and submit online Lab. Report

21. How to Get Good Grades Fall in love with MATLAB MuPAD.
Be adventurous! Try different possibilities!
Don't miss out on-line quizes / LAB reports.
Use MATLAB for other courses.
Ask on-line as well as off-line too.
Ask T.A. to help you.
Do not just copy others' work.
Do not miss midterm exam and final exam.

22. Contact Lecturer T. A. Byoung-Jo CHOI bjc97r@incheon.ac.kr/
IT BD Room 7-327
T. A.
Deuk-Kyu KIM (MSc Student) /
IT BD Room 7-330