- Serious Algebra and Calculus Errors
- Exam 1 - Friday, October 6, 2006 - tentative outline
- Chapter 1 - definitions, classification of equations, direction fields and Euler's method
- Chapter 2 - solution of first order equations: separable, and linear.
- Chapter 3 - tank and mixing applications, Newtonian mechanics, Numerical methods - Euler and Improved Euler's method
- Chapter 4 - 2nd order equations, definitions, theory - Wronskian, fundamental solution set; reduction of order; constructing solutions of constant coefficient, homogeneous eqns - all cases, nonhomogeneous eqns - undetermined coefficients and variation of parameters;
- Memorize equations (9) on page 195 to use Variation of Parameters.
- Sample Exam A
- Sample Exam B - Note: calculators can only be used for checking solutions or for a numerical solution.

- Exam 2 - Friday, November 10, 2006 - tentative outline
- Chapter 4: 4.2-4.6 - 2nd order, linear,
constant coefficient equations; This is essential material.
- homogeneous
- nonhomogeneous - undetermined coefficients and variation of parameters

- Chapter 5: converting to systems and solving systems by elimination
- Chapter 7: Laplace Transforms
- transforms of functions
- inverse; partial fraction expansion
- solving IVPs
- convolution
- unit step and Dirac delta function
- solving systems by Laplace transform

**Memorize Tables 7.1 and 7.2** - Chapter 8 - Cauchy-Euler Equations
- Sample Exam 2 A
- Sample Exam 2 B

- Chapter 4: 4.2-4.6 - 2nd order, linear,
constant coefficient equations; This is essential material.