Introduction to Matlab 6

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An Introduction to Engineering Problem Solving

1

(15)

Grand Challenges

2

(1)

Computing Systems

3

(9)

Computer Hardware

4

(2)

Computer Software

6

(6)

An Engineering Problem-Solving Methodology

12

(4)

Problem Statement

13

(1)

Input/Output Description

13

(1)

Hand Example

13

(1)

Matlab Solution

13

(1)

Testing

14

(2)

Matlab Environment

16

(40)

Characteristics of the Matlab Environment

17

(3)

Student Edition Version 6

17

(1)

Matlab Windows

17

(1)

Managing the Environment

18

(2)

Getting Help

20

(1)

Scalars, Vectors, and Matrices

20

(14)

Initializing Variables

22

(5)

Printing Matrices

27

(4)

XY Plots

31

(3)

Scalar and Array Operations

34

(6)

Scalar Operations

34

(2)

Precedence of Arithmetic Operations

36

(1)

Computational Limitations

37

(1)

Array Operations

38

(2)

Special Values and Special Matrices

40

(4)

Special Values

40

(1)

Special Matrices

41

(3)

Additional Plotting Capabilities

44

(4)

Plot Commands

44

(1)

Multiple Plots

44

(1)

Line and Mark Style

45

(1)

Axes Scaling

46

(1)

Subplots

46

(2)

Problem Solving Applied: Velocity Computation

48

(8)

Problem Statement

49

(1)

Input/Output Description

49

(1)

Hand Example

49

(1)

Algorithm Development

49

(1)

Testing

50

(6)

Matlab Functions

56

(31)

Math Functions and Trigonometric Functions

57

(3)

Elementary Math Functions

57

(1)

Trigonometric Functions

58

(2)

Data Analysis Functions

60

(5)

Simple Analysis

60

(2)

Variance and Standard Deviation

62

(1)

Histograms

63

(2)

Random Numbers

65

(2)

Uniform Random Numbers

65

(1)

Gaussian Random Numbers

66

(1)

Problem Solving Applied: Flight Simulator

67

(2)

Problem Statement

67

(1)

Input/Output

68

(1)

Hand Example

68

(1)

Matlab Solution

68

(1)

Testing

68

(1)

Statement-Level Control Structures

69

(9)

Simple if Statement

69

(1)

Relational and Logical Operators

70

(3)

Nested if Statements

73

(1)

else and elseif Clauses

73

(1)

Logical Functions

74

(2)

Loops

76

(2)

Scripts and User-Written Functions

78

(9)

Matrix Computations

87

(12)

Matrix Operations and Functions

88

(5)

Transpose

88

(1)

Matrix Multiplication

89

(2)

Matrix Powers

91

(1)

Matrix Inverse

91

(1)

Determinants

92

(1)

Solutions to Systems of Linear Equations

93

(6)

Solution Using the Matrix Inverse

94

(1)

Solution Using Matrix Left Division

94

(5)

Symbolic Mathematics

99

(12)

Symbolic Algebra

99

(6)

Symbolic Expressions

100

(2)

Simplification of Mathematical Expressions

102

(1)

Operations on Symbolic Expressions

103

(2)

Equation Solving

105

(1)

Differentiation and Integration

106

(5)

Differentiation

106

(1)

Integration

107

(4)

Numerical Techniques

111

(25)

Interpolation

111

(2)

Linear Interpolation

112

(1)

Cubic-Spline Interpolation

112

(1)

Interpl Function

113

(1)

Curve Fitting: Linear and Polynomial Regression

113

(6)

Linear Regression

114

(1)

Polynomial Regression

115

(1)

Polyfit and polyval Functions

116

(3)

Numerical Integration

119

(4)

Trapezoidal Rule and Simpson's Rule

120

(1)

Matlab Quadrature Functions

120

(3)

Problem Solving Applied: Pipeline Flow Analysis

123

(2)

Numerical Differentiation

125

(11)

Difference Expressions

126

(1)

diff Function

127

(9)

Index

136

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Introduction to Matlab 6

Summary

Table of Contents

Supplemental Materials