MATLAB by rudra pratap

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18 Tutorial Lessons » 2 + 2 ans 4 Enter 2+2 and hit the return/enter key. Note that the result of an unassigned expression is saved in the default variable ans . >> X = 2 + 2 X = You can also assign the value of an expression to a variable. 4 »y = 2A2 + log (pi ) *sin (x) ; »y A semicolon at the end suppresses screen output. MA TLAB remembers y, though. You can recall the value y by simply typing y. y = 3.1337 » theta = aces (-1) theta = MATLAB knows trigonometry. Here is arccosine of -1. 3.1416 » format short e » theta theta = The floating point output display is controlled by the format command. Here are two examples. More information will be provided on this later. 3.1416e+000 >> format long » theta theta = »quit 3.141592653589793 Quit MATLAB. You can also quit by selecting Quit from the file menu on Macs and PCs. Figure 2.1: Lesson 1: Some simple calculations in MATLAB.
2.1 Lesson 1: A Minimum MATLAD Session 19 EXERCISES 1. Arithmetic operations: Compute the following quantities: • 2;1 and compare with (1 - .Js )-1. • 3 (jl;12 - 1. The square root Vx can be calculated with the command sqrt (x) or x-o . 5. • Area = 1rr 2 with r = 1r - 1. (1r is pi in MATLAB.) 2. Exponential and logarithms: The mathematical quantities ex, ln x, and log x are calculated with exp (x) , log (x) , and log10 (x) , respectively. Calculate the following quantities: • e3 , ln(e 3), log10(e3), and log10(10 5 ). • e"VI63. • Solve 3x = 17 for x and check the result. (The solution is x = 1f,/37 can verify the result by direct substitution.) . You 3. Trigonometry: The basic MATLAB trigonometric functions are sin, cos , tan, cot , sec, and esc. The inverses, e.g., arcsin, arctan, etc., are call:ulated with as in, a tan, etc. The same is true for hyperbolic functions. The inverse function atan2 takes two arguments, y and x, and gives the fourquadrant inverse tangent. The argument of these functions must be in radians. Calculate the following quantities: • sin ' cos 1r, and tan · • sin 2 + cos 2 · (Typing sin-2(x) for sin 2 x will produce an error). • y = cosh 2 x -sinh 2 x, with x = 327r. 4. Complex numbers: MATLAB recognizes the letters i and j as the imaginary number A. A complex number 2 + 5i may be input as 2+5i or 2+5*i in MATLAB. The former case is always interpreted as a complex number, whereat; the latter case is taken as complex only if i has not been assigned auy local value. The same is true for j. This kind of context dependence, for better or worse, pervades MATLAB. Compute the following quantities: • i:+:!. Can you check the result by hand calculation? • c; . Check the Euler's Formula e i x = cos x + i sin x by computing the right-haml t;iue too, i.e., compute cot>(7r/4) + ·i sin(7r/4). • Exet.:ule the commands exp (pi/2*i) and exp (pi/2i). Can you explain the difference between the two results?
Page 1 and 2: Getting Started with MATLAB Updated
Page 3 and 4: Getting Started with MATLAB A Quick
Page 5: To Ma Gayatri and my parents Shri C
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Page 12 and 13: Preface I enjoy MATLAB, and I want
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Page 16 and 17: 2 Introduction MATLAB 0 Graphics
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Page 30 and 31: 16 Tutorial Lessons The Basics Here
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3.1 Matrices and Vectors 69 Transpo
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3.2 Matrix and Array Operations 73
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3.3 Character strings 77 Round-off
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3.3 Character strings 79 howdy = ['
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3 .4 A Special Note on Array Operat
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3.5 Command-Line Functions 83 3.5 C
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3.6 Using Built-in Functions and On
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3. 7 Saving and Loading Data 91 You
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3.8 Plotting Simple Graphs 93 >> X
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3.8 Plotting Simple Graphs 97 EXERC
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100 Programming in MATLAB: Scripts
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• Applications 5.1 Linear Algebra
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5.1 Linear Algebra 137 augmented ma
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5.2 Curve Fitting and Interpolation
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5.3 Data Analysis and Statistics 15
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5.4 Numerical Integration (Quadratu
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5.5 Ordinary Differential Equations
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5.5 Ordinary Diffe rential Equation
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5.6 Nonlinear Algebraic Equations 1
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5. 7 Advanced Topics 171 Finding mu
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5. 7 Advanced Topics 173 • First,
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176 Graphics 6.1.1 Style options Th
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178 Graphics Semi-control of axes I
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180 Graphics rt;; tiinspZlcE! ( O ;
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182 Graphics Fun with sin(t) 5,----
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208 Graphics » t = linspace (O,pi,
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210 Graphics 6.4.4 Modifying an exi
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216 Graphics Surface plotting funct
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• Errors Errors are an integral p
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Errors 231 In matrix multiplication
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Errors 233 7. >> X = b+2 .33 ??? Un
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236 Computer Algebra and The Symbol
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Honorable • Mentions There are ma
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252 The MATLAB Language Reference '
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254 The MATLAB Language Reference A
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258 The MATLAB Language Reference ;
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Index !, 7, 252 \ , 73 ' (right quo
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Index 265 dblquad, 154 dde23, 171 d
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Index 271 spy, 97 sqrt, 76 sqrtm, 7
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MATLAB by rudra pratap

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