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A First Course in Electrical and Computer Engineering by Louis Scharf - HTML preview
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A First Course in Electrical and Computer Engineering
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A First Course in Electrical and Computer Engineering
Table of Contents
Dedication of "A First Course in Electrical and Computer Engineering"
1
.
Preface to "A First Course in Electrical and Computer Engineering"
1
.
To the Teacher:
To the Student:
Chapter
1
.
Complex Numbers
1.1
.
Complex Numbers: Introduction
Notes to Teachers and Students:
Introduction
1.2
.
Complex Numbers: Geometry of Complex Numbers
1.3
.
Complex Numbers: Algebra of Complex Numbers
Addition and Multiplication.
1.4
.
Complex Numbers: Roots of Quadratic Equations
1.5
.
Complex Numbers: Representing Complex Numbers in a Vector Space
1.6
.
Complex Numbers: An Electric Field Computation
1.7
.
Complex Numbers: Numerical Experiment (Quadratic Roots)
Chapter
2
.
The Functions e^x and e^jΘ
2.1
.
The Functions e^x and e^jθ: Introduction
Notes to Teachers and Students
Introduction
2.2
.
The Functions e^x and e^jθ: The Function e^x
2.3
.
The Functions e^x and e^jθ: The Function e^jθ and the Unit Circle
2.4
.
The Functions e^x and e^jθ: The Euler and De Moivre Identities
2.5
.
The Functions e^x and e^jθ: Roots of Unity and Related Topics
2.6
.
The Functions e^x and e^jθ: Second-Order Differential and Difference Equations
2.7
.
The Functions e^x and e^jθ: Numerical Experiment (Approximating e^jθ)
Chapter
3
.
Phasors
3.1
.
Phasors: Introduction
Notes to Teachers and Students:
Introduction
3.2
.
Phasors: Phasor Representation of Signals
3.3
.
Phasors: Beating between Tones
3.4
.
Phasors: Multiphase Power
3.5
.
Phasors: Lissajous Figures
3.6
.
Phasors: Sinusoidal Steady State and the Series RLC Circuit
3.7
.
Phasors: Light Scattering by a Slit
3.8
.
Phasors: Numerical Experiment (Interference Patterns)
Chapter
4
.
Linear Algebra
4.1
.
Linear Algebra: Introduction
Introduction
4.2
.
Linear Algebra: Vectors
4.3
.
Linear Algebra: Inner Product and Euclidean Norm
4.4
.
Linear Algebra: Direction Cosines
4.5
.
Linear Algebra: Projections
4.6
.
Linear Algebra: Other Norms
4.7
.
Linear Algebra: Matrices
4.8
.
Linear Algebra: Solving Linear Systems of Equations
4.9
.
Linear Algebra: Circuit Analysis
4.10
.
Linear Algebra: Numerical Experiment (Circuit Design)
Chapter
5
.
Vector Graphics
5.1
.
Vector Graphics: Introduction
Notes to Teachers and Students:
Introduction
5.2
.
Vector Graphics: Two-Dimensional Image Representation
5.3
.
Vector Graphics: Two-Dimensional Image Transformations
5.4
.
Vector Graphics: Composition of Transformations
5.5
.
Vector Graphics: Homogeneous Coordinates
5.6
.
Vector Graphics: Three-Dimensional Homogeneous Coordinates
5.7
.
Vector Graphics: Projections
5.8
.
Vector Graphics: Numerical Experiment (Star Field)
Chapter
6
.
Filtering
6.1
.
Filtering: Introduction
Notes to Teachers and Students:
Introduction
6.2
.
Filtering: Simple Averages
6.3
.
Filtering: Weighted Averages
6.4
.
Filtering: Moving Averages
6.5
.
Filtering: Exponential Averages and Recursive Filters
6.6
.
Filtering: Test Sequences
6.7
.
Filtering: Numerical Experiment (Frequency Response of First-Order Filter)
Chapter
7
.
Binary Codes
7.1
.
Binary Codes: Introduction
Introduction
7.2
.
Binary Codes: The Communication Paradigm
7.3
.
Binary Codes: From Symbols to Binary Codes
7.4
.
Binary Codes: Huffman Codes for Source Coding
7.5
.
Binary Codes: Hamming Codes for Channel Coding
7.6
.
Binary Codes: Numerical Experiment (Huffman Codes)
Chapter
8
.
An Introduction to MATLAB
8.1
.
An Introduction to MATLAB: Introduction
Introduction
8.2
.
An Introduction to MATLAB: Running MATLAB (Macintosh)
8.3
.
An Introduction to MATLAB: Running MATLAB (PC)
8.4
.
An Introduction to MATLAB: Interactive Mode
8.5
.
An Introduction to MATLAB: Variables
8.6
.
An Introduction to MATLAB: Complex Variables
8.7
.
An Introduction to MATLAB: Vectors and Matrices
8.8
.
An Introduction to MATLAB: The Colon
8.9
.
An Introduction to MATLAB: Graphics
8.10
.
An Introduction to MATLAB: Editing Files and Creating Functions (Macintosh)
8.11
.
An Introduction to MATLAB: Editing Files and Creating Functions (PC)
8.12
.
An Introduction to MATLAB: Loops and Control
Appendix
A
.
The Edix Editor
A.1
.
Appendix
B
.
Useful Mathematical Identities
B.1
.
e
jθ
, cos
θ
, and sin
θ
Trigonometric Identities
Euler's Equations
De Moivre's Identity
Binomial Expansion
Geometric Sums
Taylor's Series
Index
Page 1
Page 2
Page 3
Page 4
Page 5
Page 6
Page 7
Page 8
Page 9
Page 10
Page 11
Page 12
Page 13
Page 14
Page 15
Page 16
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