Math 296: Foundations of Mathematics (Fall 2026) 
Lecture Schedule

Instructor: Christopher O'Neill
E-mail: cdoneill@sdsu.edu

Below is a list of the topics we intend to cover, along with a rough schedule.  Actual schedule is subject to change without notice.  Last updated August 19, 2026.  


8/24 - 8/28
Overview of Syllabus & Course
Mathematical Exploration: Divisibility (1.4-1.5)

8/31 - 9/4
Mathematical Exploration: Digging Deeper (1.6-1.7)

9/7
Labor Day: No Classes

9/8 - 9/11
Valid Arguments and Direct Proofs (2.1-2.2)

9/14 - 9/18
Proof Methods and Quantifiers (2.3-2.5)

9/21 - 9/25
Induction (2.6)

*9/28 - 10/2
The Process of Doing Mathematics (2.7-2.9)

10/5 - 10/9
Set Theory (3.1-3.5)

10/12 - 10/16
More Set Theory (3.6-3.9)

10/19 - 10/23
Functions (5.1-5.4)

10/26 - 10/30
Exam Review
Midterm Exam: Thursday, October 29

11/2 - 11/6
More Functions (5.5-5.8)

*11/9 - 11/13
Relations (6.1)
A Little More Functions

11/11
Veterans Day: No Classes

11/16 - 11/20
Posets and Equivalence Relations (6.2-6.3)

11/23 - 11/24
Combinatorial Proofs

11/25 - 11/27
Thanksgiving Break: No Classes

*11/30 - 12/4
Set Cardinality (7.1-7.3)

*12/7 - 12/11
Countability (7.4-7.5)