CMSE 890 (003) - Foundations in Mathematical Reasoning (Fall 2018)

Description:  This course provides an introduction to mathematical reasoning, including basic logic and the derivation of mathematical proofs. It also provides a review of the areas of linear algebra and differential equations that are used in the CMSE subject exam courses.  This course is recommended for students who wish to prepare more fully for CMSE graduate courses that have a strong applied mathematics component (i.e., CMSE 820, 821, 823, and some special topics courses). 

Time:  Tuesday/Thursday 8:30-9:50 a.m. in 1300 Engineering Building

Prerequisites:  Coursework or practical experience in linear algebra and differential equations.

Textbook:  None

Instructors:  Profs. Mark Iwen and Jose Perea in CMSE

Major topics:

  1. Introduction to mathematical reasoning
  2. Basic logic
  3. Sets
  4. Induction
  5. Number theory
  6. Limits
  7. Sequences and series
  8. Core topics in linear algebra
  9. Core topics in differential equations