Math 307: Fundamentals of Advanced Math; Spring 2025.
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:
1:00 - 2:00 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: Required: "Mathematical Proofs: A Transition to Advanced Mathematics", by Chartrand, Polimeni, and Zhang (third edition).
Course Syllabus.
The syllabus will include information about grading
policies, exam schedules and policies, etc. You
should definitely read it.
Schedule
Jan 13. Day one. (Jan 19: Last day to add.)
Jan. 20: No class on MLK day.
Chapter 1 : Sets
Chapter 2,3 : Logic and proofs
Jan. 26: Last day to drop.
TEST 1 Midterm.
Feb. 18: No class on Pres. day.
Chapter 4,5,6 : More Proofs.
Mar. 2: Last day to w/draw.
Chapter 7,8,12 : Even more proofs.
TEST 2 Midterm
Mar. 24-30: Spring break
Chapter 9,10,13 : Relations and Combinatorics.
May 2: Last day.
TEST 3: Comprehensive Final Exam
Homework
There will be homework assigned semi-weekly, and the
assignments will be posted here.
Additional notes:
1) The complement of the empty set is the whole set U ( universe). Complement of {} = U.
2) Subtracting works even when there is no overlap: it is just the whole first set, since there is nothing to subtract. A - B = A, when A intersect B = {}.
3) A - {} = A.
4) A union {} = A.
5) A intersect {} = {}
6) {} - A = {}
Homework 1 : Not turned in; Take-home quiz over this on Friday, 1/17 due 1/22.
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.