Multivariable Calculus
Partial derivatives, multiple integrals and vector calculus.
MATH-209 Year 2 3 credits 5 lessons · 3 h 32 min
Offered by HSM University · Engineering Core
This is the American version of this course. See the Canadian version.
What you'll learn
- Describe functions of several variables with surfaces, contour maps and level surfaces, and decide whether limits exist
- Compute partial derivatives, gradients and directional derivatives, and use differentials to estimate measurement error
- Find and classify critical points and solve constrained optimization problems with Lagrange multipliers
- Evaluate double and triple integrals in Cartesian, polar, cylindrical and spherical coordinates for areas, volumes, mass, centroids and second moments
- Compute line and surface integrals, work and flux, and apply Green's, Stokes' and the divergence theorems
Course content
5 lessons · 3 h 32 min total · final exam
- 1 Functions of several variables 39 min · quiz
- 2 Partial derivatives and gradients 47 min · quiz
- 3 Double and triple integrals 44 min · quiz
- 4 Line and surface integrals 42 min · quiz
- 5 Divergence and Stokes' theorems 40 min · quiz
- E Final exam 10 questions
Requirements
Recommended background. You can start any course at any time.
Description
Partial derivatives, multiple integrals and vector calculus.
Part of the Engineering stream, typically taken in year 2.