MA 274: Mathematical Reasoning is a course that teaches students how to effectively write and talk mathematics. Additionally, it introduces students to concepts used in every area of mathematics, including sets, functions, sequences, groups, and metric spaces.The aim is to produces people who are competent learners and doers of mathematics.

Selected Course Notes:

  • The Structures of Mathematics (Course Notes). Last updated 12-2-15. If you do not see the most recent version, you should clear the cache of your browser. Although page numbering may change over the course of the semester, the numbering of posted Theorems, Exercises, etc. will not change.
  • Practice Exam. This is an exam from a few years ago. Not everything on it is relevant to the course this semester, but it will give you some idea of the sort of things you might expect.
  • Study Guide for Exam 1. This gives you some suggestions for what and how to study.
  • Study Guide for Exam 2. This gives you some suggestions for what and how to study. If you have questions about how to prove any of the theorems listed, I encourage you to form study groups to figure it out and then come ask for help if you get stuck or want me to check your work.
  • Study Guide for Exam 3. This gives you some suggestions for what and how to study. If you have questions about how to prove any of the theorems listed, I encourage you to form study groups to figure it out and then come ask for help if you get stuck or want me to check your work. Also you should be sure to study the previous study guides and exams as well as course notes and the sections of the texts that we covered.
  • Proofs for the Public assignment.