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5.3 Optimization Methods
5.3.1 Graphical Method
5.3.2 Numerical Methods
5.3.3 MATLAB fmin and fmins Built-in Function
5.4 MATLAB Commands Review

6. Complex Numbers
6.1 Introduction
6.2 The Basics
6.2.1 Addition
6.2.2 Multiplication by a Real or Imaginary Number
6.2.3 Multiplication of Two Complex Numbers
6.3 Complex Conjugation and Division
6.3.1 Division
6.4 Polar Form of Complex Numbers
6.4.1 New Insights into Multiplication and Division
of Complex Numbers
6.5 Analytical Solutions of Constant Coefficients ODE
6.5.1 Transient Solutions
6.5.2 Steady-State Solutions
6.5.3 Applications to Circuit Analysis
6.6 Phasors
6.6.1 Phasor of Two Added Signals
6.7 Interference and Diffraction of Electromagnetic Waves
6.7.1 The Electromagnetic Wave
6.7.2 Addition of Electromagnetic Waves
6.7.3 Generalization to N-waves
6.8 Solving ac Circuits with Phasors: The Impedance
Method
6.8.1 RLC Circuit Phasor Analysis
6.8.2 The Infinite LC Ladder
6.9 Transfer Function for a Difference Equation with
Constant Coefficients*
6.10 MATLAB Commands Review

7. Vectors
7.1 Vectors in Two Dimensions (2-D)
7.1.1 Addition
7.1.2 Multiplication of a Vector by a Real Number
7.1.3 Cartesian Representation
7.1.4 MATLAB Representation of the Above Results
7.2 Dot (or Scalar) Product
7.2.1 MATLAB Representation of the Dot Product
7.3 Components, Direction Cosines, and Projections
7.3.1 Components

© 2001 by CRC Press LLC