Math 1c Analytic is a course on "vector" (i.e. multivariable) calculus.

Course Policies

For the policies on grading and homework, please consult the official course page. Please note that you are allowed a single one-week homework extension during the quarter. If you would like to use this extension, please email me at least 24 hours before the homework is due.

You can attend my recitations, office hours, or send me emails even if you are not officially registered for my sections.

Textbooks

We use "Apostol II" (Apostol's Calculus, Volume 2) as the course textbook. It is a good reference book, and is one of the few textbooks that really ties together single-variable calculus, linear algebra, and multivariable calculus into a unified thread; this is unsurprising, since the book was specifically developed for the Caltech Ma 1abc series.

Announcements

• The first session will take place on April 2.

Recitation Notes

• Session 1 (04/02): Limits, continuity, open sets.
• Session 2 (04/09): Directional derivatives, total derivatives, gradients, criteria for differentiability.
• Session 3 (04/16): Chain rule, tangent spaces, critical/stationary points.
• Session 4 (04/23): Lagrange multipliers, multiple integrals, when does an integral exist?
• Session 5 (04/30): Midterm review questions.
• Session 6 (05/07): Line integrals, line integrals with respect to arclength, gradient fields.
• Session 7 (05/14): Green's theorem, divergence, curl.
• Session 8 (05/21): Change of variables and coordinate transformations.
• Session 9 (05/28): Surface integrals and Stokes's Theorem.
• Session 10 (06/04): Final review questions.

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