Series and limits, Taylor series, complex variables, first- and second- order ordinary differential equations, matrices, linear transformations, determinants, and eigenvalues.
I am currently teaching the Math 271/272 sequence at Colorado State University. The materials below were created by myself for Math 271. Each semester I make changes to the course in an attempt to improve the class structure. This semester we started with homeworks, quizzes, exams, as well as discussion posts. I decided to forgo the 50 minute quizzes after Quiz 3 in favor for more challenging homework assignments.
The project for this class was designed to be an introduction to group theory. It ended up being a bit longer than I intended and I found after the fact that some notions were not quite clear enough.
This semester I decided to concentrate more on homework assignments rather than quizzes and exams. I felt it gave the students more room to learn and collaborate.
Here are the solutions for the above homework assignments. Please let me know if you find any errors!
Exams were done as take home exams with an oral component. I met with each student individually to ask for clarification on their solutions. I also asked questions about the content that they did not know before hand.
Quizzes were administered in class and students were given 50 minutes to complete each quiz.