Lecture 1: Matlab Universe Tom Rebold ENGR 52 Course Overview 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 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 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 Today’s Agenda MATLAB Overview Working in MATLAB’s Environment Simple calculations, variables MATLAB’s ENVIRONMENT Download week1.zip Follow instructions in Lab1 View toolbox demos Experiment with workspace configuration 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? ) 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 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) 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) 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) Expressing Math in MATLAB 2 yx x-y 3x 2y _______________ _______________ 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 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 r = sqrt(V/ (pi * h)) Put this in a file called cyl_volume.m to save retyping adds 20% to V 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