Course Description

This course is an introduction to mathematical reason and formalism in the context of mathematical problem solving, such as induction, invariants, inequalities and generating functions.

This course does not satisfy any major requirement, and may be taken more than once for credit. It is primarily used as training for the William Lowell Putnam Mathematics Competition.

Instructor

Liming Sun \(\qquad\) Krieger 222 \(\qquad\) lsun at math.jhu.edu

Lecture

Time: Th 4:00-5:40am

Location: Remsen Hall 101, Homewood Campus

Office Hour: T 10:00am-11:30am and F 12:30-2:00pm or by appointment

Textbooks

Putnam and Beyond by Razvan Gelca and Titu Andreescu

Problem-Solving Strategies by Arthur Engel

Problem-Solving Through Problems by Loren C. Larson

Content

Mathematical Induction

The Pigeonhole Principle

Extremal Principle

40th VTRMC

Number Theory I

Number Theory II

Polynomials I

Polynomials II

Sequences

Series

Integration