Skip to main content
Back

Calculus Study Guide: Absolute Extrema, Optimization, Indefinite Integrals, and Applications

NotesPracticeVideo lessons

Study Guide - Learn with Videos

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

Intro to Extrema

  • Finding Extrema Graphically Example 1
    04:45
  • Finding Extrema Graphically Example 2
    02:46
  • Finding Extrema Graphically
    05:58

Finding Global Extrema

  • Critical Points Example 2
    03:52
  • Finding Global Extrema (Extreme Value Theorem) Example 4
    03:34
  • Finding Global Extrema (Extreme Value Theorem) Example 3
    04:19

The First Derivative Test

  • The First Derivative Test: Finding Local Extrema Example 3
    11:22
  • The First Derivative Test: Finding Local Extrema Example 2
    04:00
  • The First Derivative Test: Finding Local Extrema Example 4
    05:00

Concavity

  • Determining Concavity Given a Function Example 3
    02:33
  • Determining Concavity from the Graph of f' or f''
    03:56
  • Determining Concavity Given A Function Example 2
    6:08

The Second Derivative Test

  • The Second Derivative Test: Finding Local Extrema
    06:02
  • The Second Derivative Test: Finding Local Extrema Example 1
    05:34

Applied Optimization

  • Intro to Applied Optimization: Maximizing Area
    10:13
  • Example 5: Packaging Design
    08:29
  • Example 4: Norman Window
    13:49

Indefinite Integrals

  • Guided course
    Additional Rules for Indefinite Integrals
    05:56
  • Guided course
    Power Rule for Indefinite Integrals
    04:04
  • Guided course
    Introduction to Indefinite Integrals
    05:04

Fundamental Theorem of Calculus

  • Guided course
    Fundamental Theorem of Calculus Part 2
    05:22
  • Guided course
    Fundamental Theorem of Calculus Part 1
    06:11
  • Guided course
    Fundamental Theorem of Calculus Part 1 Example1
    03:25

Average Value of a Function

  • Guided course
    Average Value of a Function Example 1
    04:25
  • Guided course
    Average Value of a Function
    06:37

Basics of Differential Equations

  • Verifying Solutions of Differential Equations Example 1
    03:17
  • Solutions to Basic Differential Equations Example 7
    02:50
  • Verifying Solutions of Differential Equations
    05:09