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Mathematics 3113-002 - Introduction to ODE - Spring 2001

Information about the Final Exam

The Final Exam will be in the usual classroom on Wednesday, May 9, 2001, from 4:30 p. m. to 6:45 p. m.

It will be worth 75 points. As with Exam III, a copy of the Laplace transform formulas will be given out for use while taking the exam.

Only a basic, non-graphing calculator may be used. Actually, there is little if any need to use a calculator. You will need to know Kramer's rule, and the recipe for solving linear differential equations with constant coefficients.

I will have the final grades and exam solutions posted on the course website by sometime Friday. You may pick up your graded exam from me any time during the next year; after one year it will become recycled paper.

The following will definitely be covered:
  1. Laplace transforms and inverse transforms, and their use in solving differential equations or systems of differential equations.
  2. The theory of linear differential equations.
  3. Boundary value problems.
  4. Variation of parameters.
  5. Systems of equations, differential operator notation.
  6. Separable equations and first order linear equations.
  7. The series method for solving differential equations.

The following sections will not be directly covered. That is, there will not be any questions taken directly from the problems studied in these sections: 1.3, 1.6, 2.1, 2.3, 3.4, 8.2.

The following topics will not be directly covered: Existence and Uniqueness theorems, slope fields, Torricelli's law, logistic equation, word problems, Bernoulli equation and other tricky substitutions, exact equations, mass-spring systems, critical damping, phase-angle form.