Course curriculum

  • 1

    Introduction

    • Lesson 1 - Introduction
  • 2

    Vector Functions

    • Lesson 2 - Coordinate Systems and Vectors

    • Lesson 3 - Planes, Lines, and Vectors

    • Lesson 4 - Calculus for Vector Functions

    • Lesson 5 - Kinematics

    • Lesson 6 - Kinematics (Continued)

    • Lesson 7 - Sage
  • 3

    Multivariable Functions

    • Lesson 8 - Multivariable Functions

    • Lesson 9 - Partial Differentiation

    • Lesson 10 - Neural Networks

    • Lesson 11 - Directional Derivatives and the Gradient

    • Lesson 12 - Implicit Functions

    • Lesson 13 - Linear Approximations, Differentials, and Taylor Series

    • Lesson 14 - Extreme Values

    • Lesson 15 - Optimization

    • Lesson 16 - Iterated Integrals

    • Lesson 17 - Change of Variables for Double Integrals

    • Lesson 18 - Triple Integrals

    • Test 1
  • 4

    Vector Fields

    • Lesson 19 - Vector Fields

    • Lesson 20 - Conservative Vector Fields

    • Lesson 21 - Line Integrals

    • Lesson 22 - Surface Integrals

    • Lesson 23 - Flux

    • Lesson 24 - Divergence, Gradient, and Curl

    • Lesson 25 - Divergence Theorem, Green's Theorem, and Stokes's Theorem

    • Test 2