Course Introduction
Personal Update and Qualifications
Today's Lesson Overview
Lecture Start: Applications Overview
Upcoming Classes
Quick Review: Power Rule
Derivative Basics
Second Derivative and Concavity
Integral Recap
U-Substitution Example
Solving the Integral
Introduction to Optimization
Cylinder in Sphere Example
Volume Formula Setup
Derivative for Maximum
Solving for Radius
Maximum Volume Calculation
Rectilinear Motion Concepts
Position Equation Example
When Particle Stops
Direction at t=3
Acceleration at t=3
Displacement vs Distance
Absolute Value Integrals
Related Rates Introduction
Cube Volume Example
Accumulation Functions
Water Tank Example
Computing Accumulation
Lecture Conclusion

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