Accelerated Multivariable Calculus – MATH UN1205
Prerequisites
MATH UN1101 – Calculus I and MATH UN1102 – Calculus II, or the equivalents.
Textbook
James Stewart, Calculus: Early Transcendentals, 9th edition.
For textbook information, see the department’s Calculus Classes page.
Course Description
This course provides an accelerated introduction to multivariable calculus. Topics include vectors and geometry in two and three dimensions, vector-valued functions, functions of several variables, partial and directional derivatives, gradients, optimization, Lagrange multipliers, multiple integrals, line and surface integrals, and the principal theorems of vector calculus.
Course Content
- Geometry and vectors: coordinate systems, vectors, dot products, cross products, lines, and planes
- Vector-valued functions: limits, derivatives, integrals, velocity, and acceleration
- Multivariable differentiation: partial derivatives, directional derivatives, gradients, critical points, the second derivative test, extrema, and Lagrange multipliers
- Multivariable integration: double and triple integrals, line and surface integrals, Green’s theorem, Stokes’ theorem, and the divergence theorem
Sample Syllabus
A sample syllabus is available. Course schedules and topic order may vary by instructor.
Calculus Information and Resources
- Calculus placement guidelines
- Placement and transfer-credit requests
- Textbook information
- Frequently asked questions
Help Room and Tutoring
The Help Room for MATH UN1205 is located in 502 Milbank Hall on the Barnard campus. In addition to instructor office hours and the Help Room, students may use the department’s tutoring services.
Course Contact
For questions not addressed on this page or in the linked resources, contact the Calculus Director, George Dragomir.
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