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Limits
All about limits: the basic idea, finding limits from graphs, different ways to calculate limits, limit laws, one-sided limits, the squeeze theorem, limits at infinity, L'Hospital's rule, and more.-
What is a Limit? Basic Idea of Limits - Duration: 5 minutes, 7 seconds.
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Basic Description of Limits - Duration: 5 minutes, 8 seconds.
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Finding Limits From a Graph - Duration: 9 minutes, 25 seconds.
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Finding Limits from a Graph - Duration: 3 minutes, 10 seconds.
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Finding a Limit of a Piecewise Function by Graphing - Duration: 3 minutes, 59 seconds.
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Calculating a Limt By Factoring and Canceling - Duration: 3 minutes, 15 seconds.
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Calculating Limits - Factor and Cancel - Duration: 3 minutes, 17 seconds.
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Calculating a Limit by Expanding and Simplifying - Duration: 110 seconds.
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Calculating a Limit by Getting a Common Denominator - Duration: 4 minutes, 53 seconds.
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Calculating Limits by finding a Common Denominator - Duration: 4 minutes, 54 seconds.
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Limit Laws to Evaluate a Limit , Example 1 - Duration: 3 minutes, 1 second.
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Limit Laws to Evaluate a Limit , Example 2 - Duration: 100 seconds.
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Derivatives
Using the definition of a derivative; basic examples; the product, quotient, and chain rules; more complex examples; implicit differentiation; derivatives of logarithms; logarithmic differentiation; derivatives of exponential, parametric, and trigonometric functions.-
Understanding the Definition of the Derivative - Duration: 12 minutes.
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Sketching the Derivative of a Function - Duration: 14 minutes.
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Finding a Derivative Using the Definition of a Derivative - Duration: 7 minutes, 38 seconds.
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Derivative Using the Definition, Example 2 - Duration: 5 minutes, 12 seconds.
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Instantaneous Velocity Using Limit Definition of Derivative - Duration: 4 minutes.
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Instantaneous Velocity, Definition of Derivative - Duration: 4 minutes.
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Limit Definition of Derivative, Rational Function Example - Duration: 4 minutes, 34 seconds.
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Derivative Using Definition: Rational Function Example - Duration: 5 minutes, 20 seconds.
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Limit Definition of Derivative, Square Root Example - Duration: 3 minutes, 31 seconds.
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Derivative of Root Function Using Definition of a Derivative - Duration: 5 minutes, 3 seconds.
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Basic Derivative Rules - The Shortcut Using the Power Rule - Duration: 5 minutes, 34 seconds.
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Power Rule and Derivatives, A Basic Example #1 - Duration: 2 minutes, 55 seconds.
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Integrals / Antiderivatives
All about integrals. This playlist starts off with different integration methods, and ends with applications of those methods to find areas, volumes, and arc lengths.
Topics: Basic definite integrals; integration by parts, with trigonometric substitution, and using partial fractions; improper integrals; other integration problems; integrating to find area, arc length, volume, and areas of surfaces of revolution-
❖ The Definite Integral - Understanding the Definition ❖ - Duration: 9 minutes, 14 seconds.
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Approximating a Definite Integral Using Rectangles - Duration: 9 minutes, 50 seconds.
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❖ Calculating a Definite Integral Using Riemann Sums - Part 1 ❖ - Duration: 6 minutes, 16 seconds.
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Calculating a Definite Integral Using Riemann Sums - Part 2 - Duration: 8 minutes, 31 seconds.
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❖ Basic Integration Problems - Duration: 10 minutes.
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❖ Integration by Parts Made Easy! ❖ - Duration: 8 minutes, 46 seconds.
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Integration by Parts - Definite Integral - Duration: 6 minutes, 13 seconds.
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Integration By Parts - Using IBP's Twice - Duration: 6 minutes, 8 seconds.
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Integration by Parts - A Loopy Example! - Duration: 8 minutes, 8 seconds.
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Deriving the Integration by Parts Formula - Easy! - Duration: 5 minutes, 37 seconds.
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❖ Integration using U-Substitution ❖ - Duration: 10 minutes.
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Integration by U-Substitution, Definite Integral - Duration: 4 minutes, 48 seconds.
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Uploads
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Lagrange Error Bound to Find Error when using Taylor Polynomials - Duration: 15 minutes.
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Rotating Points Using Rotation Matrices - Duration: 15 minutes.
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Deriving the Arc Length Formula in Calculus - Duration: 16 minutes.
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Finding Areas Using Polar Coordinates: Deriving the Formula - Duration: 10 minutes.
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This Puzzle Stumped One of the Greatest Mathematicians Ever! Can You Solve It? - Duration: 3 minutes, 26 seconds.
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Tricky Double Integral of a Rational Function - Duration: 15 minutes.
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Karnaugh Maps - Two Variable Case - Duration: 14 minutes.
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Can you Solve it? High School Math Competition Problem - Duration: 93 seconds.
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Tricky Elementary School Puzzle! - Duration: 35 seconds.
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Method of Iteration - Duration: 7 minutes, 54 seconds.
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Generating Functions and Counting With Them - An Intro - Duration: 14 minutes.
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❖ The Big M Method : Maximization with Mixed Constraints ❖ - Duration: 35 minutes.
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