Calculus 3

Course code MATH 2251

Credit 3.0

Length 60.0 hours

Course outline View

This course explores the calculus of several variables and is intended for students in Science, Engineering and Computer Science degree programs. Students are introduced to the concepts of three-dimensional analytic geometry, vectors, partial differentiation, multiple integration and vector calculus.

It is recommended that MATH 2251 be taken concurrently with or after MATH 1221.

Prerequisites

MATH 1200 with a C- or equivalent.

Course type

This course is offered as part of a VCC program and cannot be taken individually.
International students: Eligibility is determined at the program level. Visit the program page for international student requirements and application information.

  • Review of conic sections and polar coordinates.
  • Three dimensional coordinate systems, vectors, dot and cross product, equations of lines and planes, cylindrical and quadric surfaces.
  • Functions of several variables, partial derivatives, tangent planes and linear approximation, chain rule, directional derivatives and gradient vector, optimization and Lagrange multipliers.
  • Double integrals over rectangles, iterated integrals, double integrals over general regions and in polar coordinates, applications of double integrals, triple integrals in cylindrical and spherical coordinates, change of variables in multiple integrals.
  • Vector calculus: vector fields, line integrals, Fundamental Theorem of Line Integrals, Green's Theorem.

Course schedules

Select your program to see the available course schedules.

CRN# Duration Delivery Location
71488 September 8, 2026
to December 17, 2026
Online
Lecture
Varies See full schedule

Online courses listed without scheduled meeting times can be completed on your own schedule. All self-paced courses have on-campus tests. Off-site certified invigilation centres may be used at the student's expense.

How to take this course

This course is offered as part of a VCC program only.

Contact us

If you have any questions, please email at [email protected].

† This information is intended as a guideline only. Program and course details are subject to change with the approval of VCC's Board of Governors.

Indigenous Territory Acknowledgment

VCC is located on the traditional territories of the xʷməθkʷəy̓əm (Musqueam), Sḵwx̱wú7mesh (Squamish), and səlilwətaɬ (Tsleil-Waututh) peoples who have been stewards of these lands since time immemorial.