Math 1a is an introduction to single-variable calculus, emphasizing mathematical proofs.

Course Policies

The official policies on homework and grading are available on the official course webpage.

You can attend the lectures, office hours, or send me emails even if you are not officially registered for the course.

Textbooks

The primary reference for the class will be "Apostol I" (Apostol's Calculus, Vol. 1). Neither the lectures nor the recitations will follow the presentation of the book very closely, but it is a great reference, either for this class or in any class that will use calculus.

Announcements

• (10/22) Next week's recitation will be a midterm review. If you have any topics or kinds of questions that you would like me to cover specifically, let me know.
• The first session will take place on October 1st in Sloan 151.

Lecture Notes

• Session 1 (10/01): Proofs and proof techniques.
• Session 2 (10/08): Sup and inf, the least upper bound property, integration, the many kinds of "non-integrability."
• Session 3 (10/15): An alternative definition of integration, proving general results via the formal definition, applications of integrals.
• Session 4 (10/22): The definition of a limit for sequences and functions, continuous functions.
• Session 5 (10/29): Midterm review questions.
• Session 6 (11/05): The relations between differentation and integration, the Fundamental Theorem of Calculus.
• Session 7 (11/12): Asymptotic limits of functions, one-sided limits, kinds of infinity.
• Session 8 (11/19): Taylor polynomials, approximations, and series, differentiability and l'Hopital's rule.
• Session 9 (12/03): Final review questions.

Back to Brian Hwang's home page.