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Lecture 1: Matlab Universe

Dive into MATLAB with this course, covering working in MATLAB's environment, calculations, built-in functions, variables, and assignment operators. Learn to save work in .m files and solve complex problems effectively.

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Lecture 1: Matlab Universe

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  1. Lecture 1: Matlab Universe Tom Rebold ENGR 52

  2. Course Overview

  3. The Way the Class Works • I lecture for 15 – 20 minutes • You do lab for 30 – 40 minutes • Labs link to extra Problems online for fast students • Everyone turn in a solution to the last problem they solve today • HOMEWORK: Bring in 3 Math problems to solve…medium, hard, impossible • We’ll have independent study time

  4. To Buy Matlab • Student Version, $100 • Can purchase, download online • Link from ENGR196.3 class webpage • Bookstore does not stock • MATLAB retails for $1600, so it’s a pretty good deal • BETTER DEAL: FreeMAT !! • Open source version, powerful, free, legal

  5. Why MATLAB • 10x faster compared to other choices: • C++, Fortran, Java • Excel, MathCad, Mathematica, Labview • Matlab is a Very High Level Language • Designed for complex numerical calculations • Vast array of Toolboxes for different specialties • Excellent visualization tools • Symbolic math somewhat awkward • Simulink for modelling dynamic systems, 10x faster still

  6. Today’s Agenda • MATLAB Overview • Working in MATLAB’s Environment • Simple calculations, variables

  7. MATLAB’s ENVIRONMENT

  8. Download week1.zip • Follow instructions in Lab1 • View toolbox demos • Experiment with workspace configuration

  9. Numeric Data • At it’s most basic level, Matlab can be used as a simple calculator, by typing in an arithmetic expression and hitting enter. For example, at the command prompt, type: >> 8/10 >>4 * 3 >>8/10 + 4*3 >>9^2 (what does the ^ operator do? )

  10. Arithmetic rules of precedence >> 8 + 3*5 >> 8 + (3*5) >> (8 + 3) * 5 >> 4^2 – 12 >> 8/4*2 >> 8/(4*2) >> 3*4^2 >> (3*4)^2 >> 27^(1/3) >> 27^1/3

  11. built in functions • Matlab has hundreds of built in functions to do more complicated math • sqrt(9) • log10(1000) • log(10) • pi • cos(pi) • i • exp(i*pi)

  12. Variables • Usually we need to hang on to the result of a calculation • We need a way to name memory for storage • Variable--name of a place in memory where information is stored • r = 8/10 • r • s=20*r • score = 4 * r + s • z = sqrt(1000) • z = sqrt(s)

  13. Assignment Operator • = means “gets” • Translation: MATLAB: r = 8/10 ENGLISH: r “gets” the value 8/10 • OK in Math x + 2 = 20 NOT OK IN MATLAB !! (only variable on Left Side)

  14. Expressing Math in MATLAB 2 • yx _______________x-y • 3x _______________2y

  15. Saving Work in Matlab Script (.m) files • You’ll want to build up complex calculations slowly • Try, correct, try again, improve, etc • .m Files store your calculations • Can be edited in Matlab • Can be re-executed by typing the file name

  16. Example .m file • Volume of a Cylinder. The volume of a cylinder is V= pr2h. A particular cylinder is 15 meters high with a radius of 8 meters. We want to construct another cylinder tank with a volume 20% greater, but with the same height. How large must its radius be? The session follows: • r = 8; • h = 15; • V = pi*r^2*h • V = V + 0.2*V  adds 20% to V • r = sqrt(V/ (pi * h)) Put this in a file calledcyl_volume.m to save retyping

  17. Solve some problems! • Pick any problem, solve it and print your solution .m file • Write name, turn in • You may wish to save your class .m files on a USB drive

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