Math 307: Fundamentals of Advanced Math; Spring 2026.

Instructor: Dr. Stefan Forcey

Office: CAS 275
Office Phone: 330 972 6779
Email is sforcey@uakron.edu
(...this is the best way to get a hold of me)
Office hours:
- 2:00 - 3:00 MTW.
If you can't make my office hours, let me know and we can try to set up a time to meet. Here is my schedule for the spring semester.

Textbook: Mathematical Proofs: A Transition to Advanced Mathematics, by Chartrand, Polimeni, and Zhang .

Course Syllabus.
The syllabus will include information about grading policies, exam schedules and policies, etc. You should definitely read it.
Schedule

Jan 12. Day one.
Jan. 19: No class on MLK day.
Chapter 1 : Sets
Chapter 2,3 : Logic and proofs
Jan. 25: Last day to drop.
TEST 1 Midterm. Review questions also study quizzes and hw! Review answers.
Feb. 17: No class on Tues. (Pres. day.)
Chapter 4,5,6 : More Proofs.
Mar. 1: Last day to w/draw.
Chapter 7,8,12 : Even more proofs.
Mar. 23-27: Spring break
TEST 2 Midterm Fri. Apr 4
Review questions also study quizzes and hw! Review answers.
Chapter 9,10,13 : Relations and Combinatorics.
May 1: Last day.
TEST 3: Comprehensive Final Exam

Review questions

Review answers (from discrete, so ignore the top instructions on the answers, and we'll do 14b and c in class).

Homework
There will be homework assigned semi-weekly, and the assignments will be posted here.

Homework 1 : Not turned in; Take-home quiz over this.

Chapter 1: 1, 3, 5, 7, 13, 15, 17, 19, 25, 27, 29

Homework 2 : Not turned in; Take-home quiz over this.

Chapter 1: 49, 51, 53, 55, 57, 59, 61, 63

Homework 3 : Take-home quiz.

Chapter 2: 3, 5, 7, 15, 17, 21, 23, 37, 39

Homework 4 : Take-home quiz.

Chapter 2: 47, 49, 51, 55, 67, 71, 75

Homework 5 : Take-home quiz.

Chapter 3: 1, 3, 5, 9, 11, 15, 17, 19

Homework 6 : Take-home quiz.

Chapter 3: 19, 27, 29 and
Chapter 4: 1, 5, 7, 11, 15, 19, 21

Homework 7 : Take-home quiz.

Chapter 4: 27, 29, 31.
Chapter 5: 1, 3

Homework 8 :

Chapter 5: 13, 15, 19, 31, 33, 41

Homework 9 :

Chapter 6: 3, 5, 21, 23, 27, 41, 43

Homework 10 :

Chapter 6: 41, 43. Chapter 8: 1, 3, 11, 13, 15, 19

Homework 11 :

Chapter 8: 39, 43, 45, 47. Chapter 9: 5, 19, 21, 23, 25
Resources
- A great resource is wolfram|alpha.
  Here is a function whose power series has coefficients the triangular numbers, n choose 2.
- For sequences: the Online Encyclopedia of Integer Sequences
  Here is the open question of counting numbers of posets.
  Here is the open question of counting numbers of polyhedra.
  
  Two papers on writing proofs, by two good friends:
  Eugenia Cheng
  and Greg Friedman
  
  Philosophy of Math: Plato vs Aristotle
  More of the story.
  Even more--Tegmark's response.
  A book about Aristotle's view.
  
  CREDIT:
  The text of this page was adapted, with permission, from an original course site by J.P. Cossey.