ap calculus - applications of derivatives & integrals

timestamps

• 0:00

  Course Introduction

• 0:38

  Personal Update and Qualifications

• 1:40

  Today's Lesson Overview

• 2:20

  Lecture Start: Applications Overview

• 3:27

  Upcoming Classes

• 4:30

  Quick Review: Power Rule

• 5:33

  Derivative Basics

• 6:36

  Second Derivative and Concavity

• 7:39

  Integral Recap

• 8:42

  U-Substitution Example

• 10:27

  Solving the Integral

• 12:07

  Introduction to Optimization

• 13:42

  Cylinder in Sphere Example

• 15:50

  Volume Formula Setup

• 17:26

  Derivative for Maximum

• 19:34

  Solving for Radius

• 21:39

  Maximum Volume Calculation

• 23:13

  Rectilinear Motion Concepts

• 25:49

  Position Equation Example

• 27:30

  When Particle Stops

• 28:42

  Direction at t=3

• 30:22

  Acceleration at t=3

• 31:56

  Displacement vs Distance

• 33:31

  Absolute Value Integrals

• 35:04

  Related Rates Introduction

• 36:39

  Cube Volume Example

• 38:15

  Accumulation Functions

• 39:18

  Water Tank Example

• 40:52

  Computing Accumulation

• 41:23

  Lecture Conclusion