Math 220 Exam Info

Fall 06

• 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.

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• 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