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MATLAB for Scientist and Engineers

MATLAB for Scientist and Engineers. using Symbolic Toolbox Byoung -Jo CHOI, PhD University of Incheon. References. Symbolic Math Toolbox™ 5 MuPAD ® Tutorial, MathWorks Symbolic Math Toolbox™ 5 User's Guide

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MATLAB for Scientist and Engineers

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  1. MATLABfor Scientist and Engineers using Symbolic Toolbox Byoung-Jo CHOI, PhD University of Incheon

  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. 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) • 1979: "Numerical analysis" lecture at Stanford, • met with Jack Little, then an engineering student • 1984: MathWorks founded by Jack and Moler Jack Little

  5. Further Digging Resources • Video: The Origins of MATLAB at MathWorks.com • http://www.mathworks.com/company/aboutus/founders/clevemoler.html • Meet MrMatlab 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

  6. MATLAB? Matrix Laboratory Matrix Arithmetic, Eigen Analysis, ... >> 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 >> 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

  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. 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. 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 Notebook Interface • Conveniently manage & document symbolic computations • Math notation, embedded text, graphics • Access complete MuPAD language • 15+libraries of symbolic math functions From MATLAB • Perform symbolic computations using familiar MATLAB syntax 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 • 7 Weeks + MidTerm 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 • Numeric Computing using MATLAB • 7 Weeks + Final Exam • Text: MATLAB, an Introduction with Applications, 3rd Ed, Amos Gilat, John Wiley, 2008 • Ref: 임종수의 MATLAB7, 2009, 임종수, 높이깊이

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

  20. Overview: Numeric Computation • Basic Computing in MATLAB • M-File Script and Excel File Read/Write • Handling Arrays and Matrices • Plotting Graphs • M-File Function Programming • 3D Graphics • Data Analysis / Interpolation / Optimization • GUI Development

  21. Lecture Layout • Lecture: 1hr • Study the lecture material in advance using lecture notes and video recording. • On-line quiz • Report Review: 10 min • Preview Quiz: 20 min • Review: Revisit the core topics covered in the video recording – 10 min • Q&A Session: 10 min • LAB1: 1hr – demo / on-line submission • LAB2: 1hr – demo / on-line submission

  22. How to Get Good Grades • Fall in love with MATLAB. • Be adventurous! Try different possibilities! • Don't miss on-line quiz / preview quiz / LABs. • Use MATLAB for other courses. • Ask during the classes. • Ask your friends to help you. • Come and visit me as often as you can. • Do not just copy others' work. • Do not miss midterm exam and final exam.

  23. Contact • Lecturer • Byoung-Jo CHOI • bjc97r@incheon.ac.kr • 032-835-8765 / 010-6737-1536 • IT BD Room 7-327 • Assistant • Seok-Beom KIM (MSc Student) • mms1274@gmail.com • 032-835-4680 / 010-9100-5365 • IT BD Room 7-330

  24. Notes

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