MATH 1610 — Honors Calculus I

Lecture 1 (August 28, 2026): Introduction to the course and the language of set theory

lecture notes

Lecture 2 (August 31, 2026): Set identities, paradoxes, and axioms for numbers

lecture notes

Lecture 3 (September 4, 2026): Complete ordered fields and square roots

lecture notes

Lecture 4 (September 11, 2026): Floors, density, and Dedekind cuts

The extended notes (beyond what we actually covered in lecture) additionally cover the digression on complex numbers and quaternions, and the beginning of our discussion of functions, area, and the integral.

lecture notes extended notes

Lecture 5 (September 18, 2026): Area, step functions, and the definite integral (with a hypercomplex number prelude)

lecture notes