3D Geometry I

3D Geometry II

Vectors

Dot Products and Projections

Cross Products

Lines and Planes

Vector-Valued Functions

Functions of Two Variables

First Midterm Midpoint Assessment

Partial Derivatives

Chain Rule and Implicit Differentiation

Gradients and Directional Derivatives

Exploring the Gradient Properties

Local Extrema

Global Extrema

Lagrange Multipliers

Practice Problems Midterm 1

Double Integrals and Fubini’s Theorem

Review of Polar Coordinates

Double Integrals in Polar Coordinates

Vector Fields

Scalar Line Integrals

Vector Line Integrals

Conservative Vector Fields and FTLI

Green’s Theorem

Second Midterm Midpoint Assessment

Curl and Divergence

Integration Study Guide

Parametric Surfaces

Scalar Surface Integrals

Vector Surface Integrals

Practice Problems Midterm 2

Stokes’ Theorem for Line Integrals

Stokes’ Theorem for Flux Integrals

Triple Integrals in Cartesian Coordinates

Triple Integrals in Cylindrical and Spherical Coordinates

Divergence Theorem

Practice Problems Final