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Multivariable Calculus: Surfaces, Partial Derivatives, and Vector Calculus

Study Guide - Learn with Videos

Curated lessons matched to your uploaded material – learn every topic step by step.

Introduction to Functions

  • Guided course
    Relations and Functions
    5:20
  • Introduction to Calculus Channel
    1:36
  • Guided course
    Finding the Domain and Range of a Graph
    5:10

Properties of Functions

  • Guided course
    Properties of Functions
    06:21

Common Functions

  • Properties of Parabolas
    7:42
  • Graphing Logarithmic Functions Example 1
    4:30
  • Logarithms Introduction
    7:30

Finding Limits Algebraically

  • Limits of Rational Functions with Radicals
    06:13
  • Limits of Rational Functions: Denominator = 0 Example 1
    03:17
  • Limits of Rational Functions with Radicals Example 3
    02:54

The Chain Rule

  • Intro to the Chain Rule Example 2
    07:39
  • Intro to the Chain Rule Example 3
    03:52
  • Intro to the Chain Rule Example 1
    07:01

Introduction to Limits

  • Cases Where Limits Do Not Exist Example 2
    03:33
  • Finding Limits Numerically and Graphically
    6:47
  • Cases Where Limits Do Not Exist
    03:07

Estimating Area with Finite Sums

  • Guided course
    Estimating the Area Under a Curve with Right Endpoints & Midpoint
    05:59
  • Guided course
    Estimating the Area Under a Curve with Right Endpoints & Midpoint Example 1
    09:17
  • Guided course
    Estimating the Area Under a Curve Using Left Endpoints
    07:59

Polar Coordinates

  • Convert Points from Polar to Rectangular
    06:17
  •  Convert Points from Rectangular to Polar Example 1
    2:21
  • Convert Equations from Polar to Rectangular Example 2
    3:03

Sequences

  • Recursive Formulas
    5:59
  • Arithmetic Sequences - General Formula Example 2
    7:00
  • Geometric Sequences - Recursive Formula
    04:18

Calculus in Polar Coordinates

  • Guided course
    Area of Polar Regions Example 2
    12:18
  • Guided course
    Slope of Polar Curves
    09:04
  • Guided course
    Slope of Polar Curves Example 1
    05:58

Parametric Equations

  • Parameterizing Equations
    08:02
  • Eliminate Parameter: Equations with Trig
    04:11
  • Eliminate Parameter: Equations with Trig Example 3
    04:39