This course provides an introduction to a variety of problem solving techniques in mathematics. The plan is to explore a number of classical topics ranging from calculus, probability, basic number theory, and introductory linear algebra, to the mathematics behind secret codes and to exploring the periodicity of Escher patterns.
This is a writing intensive course designed to hone students’ scientific writing skills and to train them as clear and accurate communicators of mathematical ideas.
This course will strengthen students' problem solving abilities in mathematics and will open the door to conducting independent mathematical research. In addition, students are expected to gain experience in (1) effective written and oral communication of basic and advanced mathematics, (2) reading mathematical literature (popular and/or research based), and (3) using technical typesetting (LaTeX), mathematical software (e.g.,Matlab) and online tools (e.g., MathSciNet).