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.
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What you will learn
- 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.
How to register
This course is offered as part of a VCC program only.
Course schedules
Select your program to see the available course schedules.
Contact us
If you have any question, please email at advising@vcc.ca.
† 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.