ap calculus - applications of derivatives & integrals
originally streamed in 2020 with Sumi VoraStudentcovered in this stream
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
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