Math 3C Course Description

Math 3C is the first course of a two quarter sequence in Differential Equations and Linear Algebra. The text is Farlowe, et al. 'Differential Equations and Linear Algebra.' (The reader written by Stopple is no longer in use; that material is not now covered in 3C.)

In differential equations, the emphasis is divided between quantitative and qualitative aspects

- Only the simplest methods for closed form solutions, namely separation of variables and first order linear equations are covered. Because of this, we emphasize accuracy of solutions. Students should be taught to verify that their answer really does solve the ODE.

- Direction fields, and, for autonomous equations, the phase line, equilibria and stability are important.

- There is ample time for applications.

In linear algebra, proofs of theorems and large scale hand computations are de-emphasized in order to tie the material more closely to the application at hand: systems of linear differential equations. Again, this means we emphasize the accuracy of those calculations which are done. Students should verify that solutions of systems of linear equations, matrix inverses, eigenvectors etc really are correct.

3C covers three chapters in the text. This gives a natural way to split the material between two midterms and a final. Times given below are very approximate; we have not yet taught this version of the syllabus. Also included are URLs where you can find some supplementary materials and exercises.

Chapters & Topics