DelftX: Calculus II: Multivariable Functions by Edx
This course provides an overview of bachelor-level calculus of multivariable functions (Calculus II). You will review many basic concepts related to differentiation and integration of multivariable functions.
Course Highlights
- Visualize functions of two variables and read off qualitative information from graphs and contour plots.
- Calculate (higher order) partial derivatives for a variety of multivariable functions.
- Calculate and interpret directional derivatives and gradients of multivariable functions.
- Find and classify critical points of functions of two variables and determine extreme values for functions of compact domains.
- Evaluate double integrals over general integration domains using cartesian or polar coordinates.
- Evaluate triple integrals over general integration domains using cartesian, cylindrical or spherical coordinates.
Skills you will learn!
Curriculum
3 Topics
multivariable functions
graphs of functions of two variables
contour plots
4 Topics
partial derivatives
tangent planes and linearizations
higher order partial derivatives
chain rule
3 Topics
directional derivatives and gradients
maximizing directional derivatives
applications of gradients
3 Topics
extreme values
critical points
finding extreme values
4 Topics
double integrals
integrals over rectangles
double integrals over general regions
polar coordinates
4 Topics
triple integrals
triple integrals over general regions
cylindrical coordinates
spherical coordinates
DelftX: Calculus II: Multivariable Functions
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