2023 Summer | Calc 3

This webpage was constructed after the course finished. Content was originally transmitted online, through Canvas.

This is just a public share of my created materials for this course.

All of my video lectures are in this Youtube playlist

Handouts

Section #	Topic	Handout
2.1	Vectors in the Plane	annotated
2.2	Vectors in Three Dimensions	annotated
2.3	The Dot Product	annotated
2.4	The Cross Product	annotated
2.5	Equations of Lines and Planes in Space	annotated
2.6	Quadric Surfaces	annotated
2.7	Cylindrical and Spherical Coordinates	annotated
3.1	Vector-Valued Functions and Space Curves	annotated
3.2	Calculus of Vector-Valued Functions	annotated
3.3	Arc Length and Curvature	annotated
4.1	Functions of Several Variables	annotated
4.2	Limits and Continuity	annotated
4.3	Partial Derivatives	annotated
4.4	Tangent Plane and Linear Approximations	annotated
4.5	The Chain Rule	annotated
4.6	Directional Derivatives and the Gradient	annotated
4.7	Maxima/Minima Problems	annotated
4.8	Lagrange Multipliers	annotated
5.1	Double Integrals over Rectangular Regions	annotated
5.2	Double Integrals over General Regions	annotated
5.3	Double Integrals in Polar Coordinates	annotated
5.4	Triple Integrals	annotated
5.5	Triple Integrals in Cylindrical and Spherical Coordinates	annotated
5.7	Changes of Variables in Multiple Integrals	annotated
6.1	Vector Fields	annotated
6.2	Line Integrals	annotated
6.3	Conservative Vector Fields	annotated
6.4	Green's Theorem	annotated
6.5	Divergence and Curl	annotated
6.6	Surface Integrals	annotated
6.7	Stokes Theorem	annotated
6.8	The Divergence Theorem	annotated

Exams were created by Kathryn. These solutions were created by me.