Multivariable Calculus

Harvard Summer School

MATH S-21A

Section 1

CRN 30189

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This course covers the following topics: calculus of functions of several variables; vectors and vector-valued functions; parameterized curves and surfaces; vector fields; partial derivatives and gradients; optimization; method of Lagrange multipliers; integration over regions in R2 and R3; integration over curves and surfaces; Green's theorem, Stokes's theorem, Divergence theorem.

Instructor Info

Oliver Knill, PhD

Lecturer on Mathematics, Harvard University


Meeting Info

TTh 8:30am - 11:30am (6/23 - 8/8)

Participation Option: On Campus

Deadlines

Last day to register: June 17, 2025

Additional Time Commitments

Optional sections to be arranged.

Prerequisites

Two semesters of calculus. Placement test recommended.

Notes

Open to admitted Secondary School Program students by petition. Harvard College students: This course is eligible for degree credit, but see important policy information.

Syllabus

All Sections of this Course

CRN Section # Participation Option(s) Instructor Section Status Meets Term Dates
30189 1 On Campus Oliver Knill Open TTh 8:30am - 11:30am
Jun 23 to Aug 8