Welcome to Calculus 3

The following covers material commonly seen in a College level Calculus 3 course. I attempted to provide comprehensive introductions to each topic, as well as some example problems. In some cases I give additional material to help provide deeper insight. I suggest reading through the introduction material before looking at the examples. The best way to have long term success in calculus is to understand the concepts. Any particular example problem may still be challenging, but a sound understanding of the concepts should be the main goal for learning the material. Enjoy, and always feel free to reach out for questions, corrections, or private tutoring!

Vector Geometry – Vectors Introduction

Vector Geometry – Dot Product and Projections

Vector Geometry – Cross Product

Vector Geometry – Lines and Planes in 3 Space

Vector Geometry – Quadric Surfaces

Vector Geometry – Cylindrical and Spherical Coordinates

Vector Calculus – Vector Valued Functions

Vector Calculus – Differentiate and integrate Vector Valued Function

Vector Calculus – Arc Length and Speed

Vector Calculus – Curvature

Vector Calculus – Frenet Frames

Vector Calculus – Motion in 3 Space