SPRING 2007


Syllabi



Trigonometric Identities

Integration by Parts

Partial Fractions

Domain for Roots of Polynomial

Characteristic Polynomial

Inequalities for Eigenvalues

Jordan Canonical Form

Matrix Exponential

Simplex Method

Artificial Variables

Dual Simplex Method

Duality Theorem

Final Tableau

Sensitivity Analysis

Complementary Slackness Theorem

Ordinary Differential Equations

Linear Differential Equations

Series Solutions of LDE

Numerical Solution of ODE

Laplace Transform

Nonlinear Systems

Equilibrium Point

Linear System

Picard's Method

Root Finding Methods

Interpolation Theory

Approximation Theory

LU Decomposition

Choleski Decomposition

QR Decomposition

Inversion of Matrices

Inverse of Triangular Matrix

Householder Algorithm

Introduction

Cyclic Codes

Linear Codes

Hadamard Codes

Decimal Codes

Convolution Codes

Perfect Codes

BCH Codes

Golay Codes

Hadamard Codes

Shift Registers

Reed-Muller Codes

Finite Fields

Chinese Remainder Theorem

Matlab Commands