MATLAB

for Scientist and Engineers

using Symbolic Toolbox Byoung-Jo CHOI, PhD University of Incheon Computer Applications Lab.

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, 3 rd Ed, Patrick Marchand and O. Thomas Holland, Chapman & Hall/CRC, 2003 2

Course Introductions

MATLAB for Scientist and Engineers Using Symbolic Toolbox

Old History of MATLAB

    1967: "Computer solution of linear algebraic equations", Forsythe and Moler  1971: "Handbook for automatic computations" in ALGOL, J. H. Wilkinson et. al.

J.H.Wilkinson, UK (1919~1986)

1976: "Matrix Eigensystem Routines, EISPACK Guide" in FORTRAN 1976~9: "LINPACK" in FORTRAN 1977~: "MATLAB Environment", Cleve Moler   1979: "Numerical analysis" lecture at Stanford, met with Jack Little , then an engineering student 1984: MathWorks founded by Jack and Moler

Cleve Moler (1939~) Jack Little

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Further Digging Resources

 

Video: The Origins of MATLAB at MathWorks.com

http://www.mathworks.com/company/aboutus/founders/clevemoler.html

 

Meet Mr Matlab at Scientific Computing World

http://www.scientific-computing.com/features/feature.php?feature_id=15    

Cleve Moler at Wikipedia

http://en.wikipedia.org/wiki/Cleve_Moler 

BLAS at Netlib.org

http://www.netlib.org/blas/  

Maple at Wikipedia and Maplesoft.com

http://en.wikipedia.org/wiki/Maple_(software) http://www.maplesoft.com/index1.aspx

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MATLAB? Matrix Laboratory

Matrix Arithmetic, Eigen Analysis, ...

>> b=floor(10*rand(3)) b = 1 5 3 6 1 8 3 6 8 >> a=magic(3) a = 8 1 6 3 5 7 4 9 2 >> c=a*b c = 32 77 80 54 62 105 64 41 100 >> d=a/b d = 2.3934 2.0164 -2.1639

0.1475 0.1311 0.6885

5.0820 1.2951 -2.9508

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Graphics & Visualization

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Graphical User Interface

fifteen Try them for yourself! xpbombs fdatool 8

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Toolboxes

Eye Diagram 0 Time 0.5

10 0 10 -1 10 -2 10 -3 10 -4 10 -5 10 -6 0 Equalizer BER Comparison 2 Ideal BPSK Linear Equalizer DFE Ideal MLSE Imperfect MLSE 4 6 8 Eb/No (dB) 10 12 14 16 Magnitude Response (dB) 20 0 -20 -40 -60 -80 -100 0 0.1

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SIMULINK

 Model-based design environment

Ref: Help – Video and Image Processing Blockset – Demos – Motion Detection

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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

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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

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What is Symbolic Computing

  Position of an oscillating mass: Position 

e

 2

t

  Velocity?

General Solution View underlying mathematics Ref: Webinar – Symbolic Computing Tools for Academia

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Symbolic Math Usage in Academia

Ref: Webinar – Symbolic Computing Tools for Academia

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Working w/t Symbolic Math Toolbox

From MATLAB From Notebook Interface

Sharing

 Perform symbolic computations using familiar MATLAB syntax   Conveniently manage & document symbolic computations  Math notation, embedded text, graphics Access complete MuPAD language  15+libraries of symbolic math functions 15

Ref: Webinar – Symbolic Computing Tools for Academia

Demo: Mass-Spring-Damp System

Dynamic Equation

 ( )   

Initial Conditions

x

(0)  0, (0)  1

Symbolic Math Solution

 0

Ref: Webinar – Symbolic Computing Tools for Academia mass_spring_damp_system.mn

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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

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Course Overview

 Symbolic Computing using MuPAD    14 Weeks + MidTerm Exam + Final Exam Text: MuPAD Tutorial available in PDF http://www.mathworks.com/access/helpdesk/help/pdf_doc/symbolic/mupad_tutorial.pdf

Ref: Symbol Math Toolbox 5 – User's Guide http://www.mathworks.com/access/helpdesk/help/pdf_doc/symbolic/symbolic_tb.pdf

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Overview: Symbolic Computation

 First Taste of MuPAD (Ch1~4)  MuPAD Language (Ch 5~9)  Graphics (Ch 10)  Applications (Ch 11~13) 19

Lecture Layout

 On-Line Lecture:  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 20

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.

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Contact

 Lecturer   Byoung-Jo CHOI [email protected]

  032-835-8765 / 010-6737-1536 IT BD Room 7-327  T. A.

    Deuk-Kyu KIM (MSc Student) [email protected]

032-835-4680 / 010-4157-8770 IT BD Room 7-330 22