Page 7 - Numerical Analysis Using MATLAB and Excel

Table of Contents

1 Introduction to MATLAB 1−1
1.1 Command Window.................................................................................................1−1
1.2 Roots of Polynomials...............................................................................................1−3
1.3 Polynomial Construction from Known Roots ........................................................1−4
1.4 Evaluation of a Polynomial at Specified Values .....................................................1−5
1.5 Rational Polynomials ..............................................................................................1−8
1.6 Using MATLAB to Make Plots..............................................................................1−9
1.7 Subplots.................................................................................................................1−18
1.8 Multiplication, Division and Exponentiation.......................................................1−19
1.9 Script and Function Files......................................................................................1−26
1.10 Display Formats ....................................................................................................1−31
1.11 Summary ...............................................................................................................1−33
1.12 Exercises................................................................................................................1−37
1.13 Solutions to End−of−Chapter Exercises ...............................................................1−38

MATLAB Computations: Entire chapter

2 Root Approximations 2−1

2.1 Newton’s Method for Root Approximation...........................................................2−1
2.2 Approximations with Spreadsheets........................................................................2−7
2.3 The Bisection Method for Root Approximation .................................................2−19
2.4 Summary...............................................................................................................2−27
2.5 Exercises ...............................................................................................................2−28
2.6 Solutions to End−of−Chapter Exercises...............................................................2−29
MATLAB Computations: Pages 2−2 through 2−7, 2−14, 2−21 through 2−23,
2−29 through 2−34
Excel Computations: Pages 2−8 through 2−19, 2−24 through 2−26

3 Sinusoids and Phasors 3−1

3.1 Alternating Voltages and Currents ........................................................................3−1
3.2 Characteristics of Sinusoids....................................................................................3−2
3.3 Inverse Trigonometric Functions.........................................................................3−10
3.4 Phasors..................................................................................................................3−10
3.5 Addition and Subtraction of Phasors ...................................................................3−11
3.6 Multiplication of Phasors......................................................................................3−12
3.7 Division of Phasors ...............................................................................................3−13

Numerical Analysis Using MATLAB® and Excel®, Third Edition i
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