MATH 2131

Vector Calculus

0.5 credits · Undergraduate

Winter 2026

Topics

surfaces, partial diﬀerentiation, multiple integration, vector ﬁelds, and vector
calculus including Green’s Theorem, Stokes’ Theorem and the Divergence
Theorem

Winter 2026

3D Space, Vectors, Multivariable and Vector-Valued Functions
given set of points (both graphically and verbally)
– Become familiar with vectors and their algebraic and geometric properties
– Understand the geometric and algebraic definitions of the dot and cross products
– Learn how to write out the equations of lines and planes and to read off the important
information that such equations encode
– Be able to differentiate and integrate vector-valued functions
– Develop an understanding of function of two and three variables
– Use contour diagrams and traces to describe the behaviour of a function
Multivariable Calculus
– Be able to compute the equations of tangent planes and use these to make linear approx
imations
– Understand the geometric interpretation of a partial derivative and be able to compute
partial derivatives algebraically
– Be able to apply the multivariable chain rule in a variety of contexts
how to compute the direction of maximal instantaneous rate of change of a function

Sources