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Section 2 Course Learning Outcomes

By the end of this course, students will be able to:

  1. Demonstrate familiarity with the notation, vocabulary, and some applications of first order, systems of first order, and second order ordinary differential equations (ODEs).
  2. Solve a variety of first order ODEs using various methods.
  3. Analyze behavior of solutions to first order ODEs by looking at slope fields and equilibrium solutions.
  4. Demonstrate familiarity with matrix algebra basics including elementary row operations, determinants, linear independence of rows/columns, and finding eigenvalues and eigenvectors.
  5. Solve linear systems of first order ODEs using the eigenvalue/eigenvector method.
  6. Solve both homogeneous and nonhomogeneous linear second order ODEs with constant coefficients.
  7. Solve initial value problems using the Laplace transform method.
  8. Communicate effectively and work effectively in a team in a mathematical context.