Class Handouts:

These are .pdf files containing the class handouts. You need Adobe Acrobat, in order to read and print them.

• The Greek Alphabet

• Aide Memoir (basic solutions of ODE)

• Some Useful Trigonometric Identities

• Common Notation

• Partial Fraction Decompositions

• Table of Elementary Laplace Transforms

• Routine Exercises for Laplace Transforms

• Answers to Homework 1

• Some Facts about the Gamma Function

• An Example of the Convolution Theorem

• Notes on Cramer's Rule

• Solving Linear Systems with Laplace Transforms

• Another Example for Systems

• Differential Equations with Variable Coefficients

• An Example of a Volterra Equation Model

• Simple Two-Point Boundary Value Problems

• An Important Laplace Transform

• Laplace Transform for Periodic Functions

• Answers to Homework 2

• Sample Hour Exam

• Answers to Sample Hour Exam

• Answers to Homework 3

• Answers to Hour Exam I

• Answers to Homework 4

• Answers to Homework 5

• Answers to Homework 6

• An Example of a Fourier Series

• Axioms for Vector Spaces

• Proofs of some Arithmetic Facts

• Properties of Dot Products and Norms

• Properties of Cross Products

• Some Vector Operator Relations

• Airy Functions

• Notes on Line Integrals and Vector Fields

• Examples of Line Integrals

• Remarks on Green's Theorem

• Examples for Green's Theorem

• Routine Exercises for Green's Identities

• Problems Related to the Theorems of Gauss and Stokes