Princeton University · MAT 201

Multivariable Calculus

多元微积分

A fast-paced introduction to multivariable and vector calculus, including geometry in three dimensions, partial derivatives, optimization, multiple integrals, vector fields, and the integral theorems.

Subject：Calculus

Level：Intermediate

Suggested stage：Year 2 (inferred)

Public-material edition：2025

Language：English

Videos：Not verified

Assignments / solutions：Available / Not verified

Prerequisites

Princeton MAT 104 or equivalent

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▶Lectures, video & readingCourse content in the official sequence12

Topic 1: Vectors, Lines, and Planes Topic 2: Curves and Surfaces in Space Topic 3: Multivariable Limits and Continuity Topic 4: Partial Derivatives Topic 5: Gradient and Chain Rule Topic 6: Linear Approximation and Taylor's Theorem Topic 7: Multivariable Optimization Topic 8: Double Integrals Topic 9: Triple Integrals and Coordinates Topic 10: Vector Fields and Line Integrals Topic 11: Flux and Surface Integrals Topic 12: Green, Stokes, and Divergence Theorems

✓Assignments & practiceOpen the matching problem or assignment page12

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Official MAT 201 syllabusPrinceton University Department of Mathematics ↗

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Princeton University Department of Mathematics · verified 2026-08-03

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