Summary: Syllabus for Math 245, Introduction to Proof via Discrete Math, Spring 2009
Instructor: Dr. Elizabeth Arnold
Office: Roop 111
Office Hours: T, Th 11:00am-12:00noon, W 12-1pm and by appointment.
COURSE DESCRIPTION: Math 245 is a "bridge course" designed to be a transition for math
majors and minors from the computational courses like calculus, to the proof based courses such as
number theory and analysis. In this course we will study logic, sets and relations, proof techniques,
and discrete math. It is hoped that by the end of the course, you will read, write and think
mathematics like a mathematician. Specific topics include mathematical induction, combinatorics,
cardinality and Pascal's triangle.
TEXT: Doing Mathematics: An Introduction to Proofs and Problem Solving, Stephen Galovich
LATEX: A Document Preparation System, Leslie Lamport
Mathematics: A Discrete Introduction, E. Scheinerman
How to Prove It: A Structured Approach, D. Velleman
A Transition to Advanced Mathematics, Smith, Eggen and St. Andre
A Discrete Transition to Advanced Mathematics, Richmond and Richmond