Getting started
- Hi! START HERE: Course overview
- Download the Calc 3 formula sheet
- The EVERYTHING download
Partial Derivatives - Three-dimensional coordinate systems
- Introduction to three-dimensional coordinate systems
- Plotting points in three dimensions
- Plotting points in three dimensions
- Plotting points in three dimensions
- Distance between points in three dimensions
- Distance between points in three dimensions
- Distance between points in three dimensions
- Center, radius, and equation of the sphere
- Center, radius, and equation of the sphere
- Center, radius, and equation of the sphere
- Describing a region in three-dimensional space
- Describing a region in three-dimensional space
- Using inequalities to describe the region
- Using inequalities to describe the region
- BONUS! Extra practice problems. :)
Partial Derivatives - Sketching graphs and level curves
- Introduction to sketching graphs and level curves
- Sketching level curves of multivariable functions
- Sketching level curves of multivariable functions
- BONUS! Extra practice problems. :)
Partial Derivatives - Lines and planes
- Introduction to lines and planes
- Vector, parametric and symmetric equations of a line
- Vector and parametric equations of a line
- Vector and parametric equations of a line
- Parametric and symmetric equations of a line
- Parametric and symmetric equations of a line
- Symmetric equations of a line
- Symmetric equations of a line
- Parallel, intersecting, skew, and perpendicular lines
- Parallel, intersecting, skew, and perpendicular lines
- Parallel, intersecting, skew, and perpendicular lines
- Equation of a plane
- Equation of a plane
- Equation of a plane
- Intersection of a line and a plane
- Intersection of a line and a plane
- Intersection of a line and a plane
- Parallel, perpendicular and angle between planes
- Parallel, perpendicular and angle between planes
- Parallel, perpendicular and angle between planes
- Parametric equations for the line of intersection of two planes
- Parametric equations for the line of intersection of two planes
- Parametric equations for the line of intersection of two planes
- Symmetric equations for the line of intersection of two planes
- Symmetric equations for the line of intersection of two planes
- Symmetric equations for the line of intersection of two planes
- Distance between a point and a line
- Distance between a point and a line
- Distance between a point and a plane
- Distance between a point and a plane
- Distance between parallel planes
- Distance between parallel planes
- BONUS! Extra practice problems. :)
Partial Derivatives - Cylinders and quadric surfaces
- Introduction to cylinders and quadric surfaces
- Reference chart for cylinders and quadric surfaces
- Reducing equations to standard form
- Reducing equations to standard form
- Sketching the surface
- Sketching the surface
- BONUS! Extra practice problems. :)
Partial Derivatives - Limits and continuity
- Introduction to limits and continuity
- Domain of a multivariable function
- Domain of a multivariable function
- Limit of a multivariable function
- Limit of a multivariable function
- Precise definition of the limit for multivariable functions
- Precise definition of the limit for multivariable functions
- Discontinuities of multivariable functions
- Discontinuities of multivariable functions
- Compositions of multivariable functions
- Compositions of multivariable functions
- BONUS! Extra practice problems. :)
Partial Derivatives - Partial derivatives
- Introduction to partial derivatives
- Partial derivatives in two variables
- Partial derivatives in two variables
- Partial derivatives in two variables
- Partial derivatives in three or more variables
- Partial derivatives in three or more variables
- Partial derivatives in three or more variables
- Higher order partial derivatives
- Higher order partial derivatives
- Higher order partial derivatives
- BONUS! Extra practice problems. :)
Partial Derivatives - Differentials
- Introduction to differentials
- Differential of a multivariable function
- Differential of a multivariable function
- Differential of a multivariable function
- BONUS! Extra practice problems. :)
Partial Derivatives - Chain rule
- Introduction to chain rule
