Elementary Mathematical and Computational Tools for Electrical and Computer Engineers Using MATLAB

✍ Scribed by Jamal T. Manassah

• Publisher: CRC Press
• Year: 2001
• Tongue: English
• Leaves: 348
• Edition: 1
• Category: Library

✦ Synopsis

Engineers around the world depend on MATLAB for its power, usability, and outstanding graphics capabilities. Yet too often, engineering students are either left on their own to acquire the background they need to use MATLAB, or they must learn the program concurrently within an advanced course. Both of these options delay students from solving realistic design problems, especially when they do not have a text focused on applications relevant to their field and written at the appropriate level of mathematics.Ideal for use as a short-course textbook and for self-study Elementary Mathematical and Computational Tools for Electrical and Computer Engineers Using MATLAB fills that gap. Accessible after just one semester of calculus, it introduces the many practical analytical and numerical tools that are essential to success both in future studies and in professional life. Sharply focused on the needs of the electrical and computer engineering communities, the text provides a wealth of relevant exercises and design problems. Changes in MATLAB's version 6.0 are included in a special addendum.The lack of skills in fundamental quantitative tools can seriously impede progress in one's engineering studies or career. By working through this text, either in a lecture/lab environment or by themselves, readers will not only begin mastering MATLAB, but they will also hone their analytical and computational skills to a level that will help them to enjoy and succeed in subsequent electrical and computer engineering pursuits.

✦ Table of Contents

Cover......Page 1
Title Page......Page 2
About the Author......Page 4
Introduction......Page 5
Contents......Page 8
1.1 - Getting Started......Page 14
1.2 - Basic Algebraic Operations and Functions......Page 15
1.3 - Plotting Points......Page 16
1.4 - M-files......Page 19
1.5 - MATLAB Simple Programming......Page 21
1.6 - Array Operations......Page 23
1.7 - Curve and Surface Plotting......Page 24
1.8 - Polar Plots......Page 33
1.9 - Animation......Page 35
1.10 - Histograms......Page 36
1.11 - Printing and Saving Work in MATLAB......Page 37
1.12 - MATLAB Commands Review......Page 38
2.1 - Simple Linear Forms......Page 40
2.2 - Amortization......Page 42
2.3 - An Interative Geometric Construct: The Koch Curve......Page 44
2.4 - Solution of Linear Constant Coefficients Difference Equations......Page 47
2.5 - Convolution-Summation of a First-Order System with Constant Coefficients......Page 53
2.6 - General First-Order Linear Difference Equations......Page 56
2.7 - Nonlinear Difference Equations......Page 58
2.8 - Fractals and Computer Art......Page 61
2.9 - Generation of Special Functions from Their Recursion Relations......Page 66
3.1 - Function Files......Page 70
3.2 - Examples with Affine Functions......Page 71
3.3 - Examples with Quadratic Functions......Page 77
3.4 - Examples with Polynominal Functions......Page 78
3.5 - Examples with the Trigonometric Functions......Page 79
3.6 - Examples with the Logarithmic Function......Page 80
3.7 - Examples with the Exponential Function......Page 83
3.8 - Examples with the Hyberbolic Functions and Their Inverses......Page 85
3.9 - Commonly Used Signal Processing Functions......Page 86
3.10 - Animation of a Moving Rectangular Pulse......Page 93
3.11 - MATLAB Commands Review......Page 94
4.1 - Limits of Indeterminate Forms......Page 95
4.2 - Derivative of a Function......Page 97
4.3 - Infinite Sums......Page 99
4.4 - Numerical Integration......Page 101
4.5 - A Better Numerical Differentiator......Page 105
4.6 - A Better Numerical Integrator: Simpson's Rule......Page 109
4.7 - Numerical Solutions of Ordinary Differential Equations......Page 116
4.8 - MATLAB Commands Review......Page 134
5.1 - Finding the Real Roots of a Function......Page 135
5.2 - Roots of a Polynominal......Page 146
5.3 - Optimization Methods......Page 147
5.4 - MATLAB Commands Review......Page 156
6.2 - The Basics......Page 157
6.3 - Complex Conjugation and Division......Page 161
6.4 - Polar Form of Complex Numbers......Page 164
6.5 - Analytical Solutions of Constant Coefficients ODE......Page 171
6.6 - Phasors......Page 176
6.7 - Interference and Diffraction of Electromagnetic Waves......Page 180
6.8 - Solving ac Circuits with Phasors: The Impedance Method......Page 184
6.9 - Transfer Function for a Difference Equation with Constant Coefficients......Page 189
6.10 - MATLAB Commands Review......Page 199
7.1 - Vectors in Two Dimensions (2-D)......Page 200
7.2 - Dot (or Scalar) Product......Page 204
7.3 - Components, Direction Cosines, and Projections......Page 208
7.4 - The Dirac Notation and Some General Theorems......Page 209
7.5 - Cross Product and Scalar Triple Product......Page 214
7.6 - Vector Valued Functions......Page 218
7.7 - Line Integral......Page 221
7.8 - Infinite Dimensional Vector Spaces......Page 222
7.9 - MATLAB Commands Review......Page 233
8.1 - Setting up Matrices......Page 234
8.2 - Adding Matrices......Page 240
8.4 - Multiplying Matrices......Page 241
8.5 - Inverse of a Matrix......Page 243
8.6 - Solving a System of Linear Equations......Page 245
8.7 - Application of Matrix Methods......Page 249
8.8 - Eigenvalues and Eigenvectors......Page 259
8.9 - The Cayley-Hamilton and Other Analytical Techniques......Page 264
8.10 - Special Classes of Matrices......Page 278
8.11 - MATLAB Commands Review......Page 288
9.1 - Two-Dimensional (2-D) Geometric Transforms......Page 290
9.2 - Homogeneous Coordinates......Page 295
9.3 - Geometrical Manipulation of Images......Page 298
9.4 - Lorentz Transformation*......Page 302
9.5 - MATLAB Commands Review......Page 306
10.1 - Introduction......Page 307
10.2 - Basics......Page 308
10.3 - Addition Laws for Probabilities......Page 313
10.4 - Conditional Probability......Page 317
10.5 - Repeated Trials......Page 322
10.6 - The Poisson and the Normal Distributions......Page 325
S.1 - Affine Functions......Page 331
S.2 - Quadratic Functions......Page 332
S.4 - Trigonometric Functions......Page 337
S.6 - The Natural Logarithmic Function......Page 339
S.7 - The Exponential Function......Page 340
S.8 - The Hyberbolic Functions......Page 341
S.9 - The Inverse Hyberbolic Functions......Page 343
Sum of Integers and Their Powers......Page 345
Taylor's Series......Page 346
Relation of Trigonometric and Hyberbolic Functions......Page 347
Expansion of Elementary Functions in Power Series......Page 348