The structure of the exam is as follows. There are five questions that you are required to do. These questions involve things that you know well, and it is mostly a matter of calmly thinking them through and writing out the proofs or solutions. Then you are asked to do ONE more problem, chosen from several more problems stated on the exam. These problems involve some of the special things that we did like sprouts, Euler formula, something about complex numbers, possibly switches, or combinatorial coefficients, etc. But there are a number of problems to choose from and I am sure that you will find one of them that you will feel comfortable working with. Study for this exam by thinking through those parts of the course that you like and those parts that you have found challenging. Please use this time to work on your understanding of proofs and ideas.

See FinalExam.This is a copy of our final with selected solutions to some of the problems. If you have questions about how to solve these problems contact the instructor.

Description: This is a first course in theoretical mathematics. It is a prerequisite to all advanced theoretical courses in the department. The Primary Goal of the course is to learn how to create and write mathematical proofs. We will introduce basic proof techniques, like proofs by induction and contradiction. We will also learn some basic mathematics that will be used in many advanced courses including: sets, functions, equivalence relations, cardinality and infinite sets. As time permits, we will cover most of Parts I-III and parts of Part V of the text.

The course will proceed via a projects and problems. We will begin with a series of problems involving games played on graphs. In playing these games we directly encounter a number of mathematical phenomena and we will all work on finding proofs that these phenomena are actually happening!

Because the course is structured through evolving problem sets and projects, it is essential that you WORK ON THE PROBLEMS AND ATTEND ALL THE CLASSES. There is no recourse here to staying away from class. If you miss a class, please see the instructor and get a recapitulation of what went on in that class. Credit in the course will be a function of your homework and of hour exams and the final exam. In this course HOMEWORK IS OF PRIMARY IMPORTANCE.