Math 387 course resources

Meeting times: M,W from 1:30–2:45pm

Textbook: Bogart and Flahive, *Discrete mathematics through guided discovery* (provided)
Problems: Homework and classwork schedule

Contact: scoskey@boisestate.edu

Office hours: Tuesday at 1:30 and by appointment (different link, see blackboard)

Math 387 is a successor to Math 187/189 and Math 287. We will continue our study of topics in discrete math using a proof-based approach. The material we cover will include methods of counting, graph theory, and counting using generating functions. At the same tmie we will strive to improve on our investigative powers, our proof-writing ability, and our appreciation for mathematical methods and beauty.

- Explore mathematical definitions and evaluate mathematical statements
- Comfort with mathematical discovery
- Write rigorous and readable proofs
- Possess and exhibit knowledge of discrete math topics

- Weeks 1-3: Introductory and review material
- Weeks 4-7: Counting and equivalence relations
- Weeks 8-9: Review and midterm exam
- Weeks 10-12: Graph theory
- Weeks 13-14: Generating functions and distributions
- Weeks 15-16: Review and final exam

The course will be delivered through synchronous remote class sessions. The majority of each session will be spent working together in small groups and participating in class discussions.

The textbook uses a guided discovery format, which means most learning happens through problem solving and discussions. You are expected to attend remote class sessions, and to be prepared to discuss and work on current material. You will receive credit for each class day that you attend and participate successfully.

The work you do in class will slowly accumulate and become a lengthy notebook. In cases when we don’t finish an assigned problem during the class, I will either delay it, cancel it, or ask you to attempt it at home. I will periodically evaluate your notebook for evidence of activity on every problem requested.

Each week I will assign selected problems to be written up carefully and submitted as formal homework. Many of these problems will be from class the previous week. Your work may represent substantial collaborations with your classmates, but keep in mind that you must always fully understand your solutions and most importantly *write them in your own words*.

I will give a take-home exam approximately the 8th week and the finals week of the class.

This syllabus is subject to change. I may make refinements and updates in the first week of classes. While I don’t expect any substantial changes, please allow for some flexibility. I will give notice before making any changes to the syllabus.