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0:08:06

A Fun Geometry Problem #1 -- A Sum of Infinitely Many Triangles in a Square

0:05:41

A Wonderful Differential Equations Problem - A Falling Chain on a Frictionless Table

0:05:28

Proving the Law of Cosines Two Ways: Pythagorean Theorem and Vectors

0:03:50

Nice Abstract Algebra Problem #2 -- Boolean Rings and Commutativity

0:05:46

A Wonderful Differential Equations Problem - Torricelli's Law Applied to a Cone

0:04:17

Nice Abstract Algebra Problem #1 -- Kernels, Abelian Groups, and Proving Normality

0:06:14

Kernels and Inverse Images: An Important Result

0:05:57

How a Group Homomorphism Maps Identities and Inverses

0:23:34

The Chain Rule: A Colorful Introduction

0:19:19

Area of a Surface of Revolution

0:14:47

Arc Length of a Function

0:11:45

Volumes of Solids via Cross-Sectional Areas

0:27:51

Volumes of Solids of Revolution: An Introduction

0:16:34

Finding Areas Between Curves

0:24:19

Product Rule, Quotient Rule, and Trig Derivatives, with Proofs!

0:06:41

The Fundamental Theorem of Calculus, Part II

0:25:50

Some Derivative Rules and Properties

0:21:20

An Introduction to Derivatives

0:15:15

Proving the Fundamental Theorem of Calculus with Smooth Jazz

0:14:22

The Squeeze Theorem

0:23:18

Approximating and Computing Area Under Curves

0:25:30

Continuity and Evaluating Limits Algebraically

0:24:31

Limits Graphically and Numerically

0:14:29

An Introduction to Continuity