This is the website for MAT 511: Fundamental concepts of math, Summer I 2026.
Here you can find the typed notes for this class: [course notes].
I will also
send via email the lecture notes after class.
Instructor: Alex Rodriguez (alex [dot] rodriguez
[at] stonybrook.edu).
Office hours: TuTh from 5pm to 6pm.
Meeting times: TuTh from 6pm to 9pm on Zoom (we will take a break in between).
Tuesday May 26: Presentation of the course. Mathematical
statements and proofs
Thursday May 28: Methods of proofs.
Tuesday June 2: Induction. Set theory.
Thursday June 4: Set theory. Functions.
[HW1 due]
Tuesday June 9: Functions. Review of Chapters I and II.
Thursday June 11: Finite sets and their properties.
Tuesday June 16: Counting functions and subsets. Number
systems. Equivalence relations.
Thursday June 18: Review day. Infinite
sets part I.
Tuesday June 23: Infinite sets part II. Some exotic sets.
Thursday June 25: More exotic sets. Review of Chapter III.
Tuesday June 30: Presentation week part I.
[HW3 due]
Thursday July 2 Presentation week part II.
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