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CALCULUS TOPICS
Limits
Calculating Limits by Factoring and Cancelling
Calculating Limits by Getting Common Denominators
Calculating Limits by Expanding and CancellingCalculating Limits by Multiplying by a Conjugate
Calculating Limits by using: limit x--> 0 [sin(x)/x] = 1
Calculating Limits Involving Absolute Value
Infinite Limits
The Squeeze Theorem For LimitsLimits at Infinity (See also Improper Integrals for More Examples!)
Basic Limit at Infinity Example and 'Shortcut' Information
Limit at Infinity Example with Radicals Present - Two ExamplesLimits - L'Hospital's Rule
Indeterminate Quotients - Basic Idea and ExamplesIndeterminate Products - Basic Idea and Examples
Indeterminate Differences - Basic Idea and Examples
Indeterminate Powers - Basic Idea and Examples
Continuity
Continuity - Basic Idea and Types of Discontinuities
Continuity - Examples of Finding Discontinuities of Piecewise Functions
Derivatives
Basic Derivative FormulasSketching the Derivative of a Function
Finding the Equation of a Tangent Line
Find the Linearization at a Point
Finding the Derivative Using the Definition of the Derivative
Derivatives Using the Product Rule
More Examples Using the Product Rule
Derivatives Using the Quotient Rule
More Examples Using the Quotient Rule
Derivatives Using the Chain Rule
Chain Rule - Harder Example # 1
Chain Rule - Harder Example # 2
Chain Rule - Harder Example # 3
More Complicated Derivative Examples
More Complicated Derivative Examples - Part 2
Using the Product and Chain Rule to Find a Derivative - Then Factoring and Simplifying
Derivatives Using Implicit Differentiation
Derivatives Using Implicit Differentiation - More Examples #1
Derivatives Using Implicit Differentiation - More Examles #2
Related Rates Problems and Implicit Differentiation
Related Rates Involving a Cone
Related Rates - A point moving on a graph
Related Rates - With Trigonometry
Related Rates - Baseball Diamond Example
Logarithmic Differentiation - Basic Idea and Example
Logarithmic Differentiation Example 2
Derivatives Involving Logarithmic Functions - ln(x), log (x), etc.
Properties of Logarithms - Logarithmic Functions (algebra stuff!!)
Derivatives involving Exponential Functions - e^x, a^x, etc
Derivatives Involving Inverse Trigonometric Functions
Inverse Trigonometric Derivative Example 1
Inverse Trigonometric Derivative Example 2
Inverse Trigonometric Derivative Example 3
More Examples Involving Inverse Trig Functions
The General Chain Rule - Part 1
The General Chain Rule - Part 2
Where a Function is Increasing and Decreasing , Finding Local Maximums and Local Minimums
Finding Critical Numbers - Example 1
Finding Critical Numbers - Example 2cr
Lagrange Multipliers - Finding Maximums or Minimums
Using the Second Derivative to Find Local Maximums and Local Minimums
Using the Second Derivative to Find Where a Function is Concave Up/Concave Down
Finding Local Maximums, Local Minimums and Saddle Points - Example 1
Finding Local Maximums, Local Minimums and Saddle Points - Example 2
Curve Sketching Using Calculus - Part 1 of 2
Curve Sketching Using Calculus - Part 2 of 2
Differentials and Approximations
Integration Techniques / Antiderivatives
The Definite Integral - Understanding the Definition
Approximating a Definite Integral Using Rectangles
Trapezoidal Rule to Approximate a Definite Integral
Simpson's Rule to Approximate a Definite Integral
Simpson's Rule and Error Bounds
Calculating a Definite Integral Using Riemann Sums - Part 1
Calculating a Definite Integral Using Riemann Sums - Part 2Basic Integration Formulas - turn down your volume, I was too close to the mic! : )
Basic Antiderivate Examples - Indefinite Integral
More Basic Integration Problems
Basic Definite Integral Example
Indefinite Integral - U-substitution
Definite Integral - U-substitution
More Integration Using U-Substitution
More Complicated U-Substitution ProblemsIntegration Involving Inverse Trigonometric Functions
Integration By Parts - Indefinite Integral
Integration By Parts - Definite Integral
More Integration By Parts Examples
Using Integration By Parts - A "Loopy" Example
Trigonometric Integrals - Part 1 of 6
Trigonometric Integrals - Part 2 of 6
Trigonometric Integrals - Part 3 of 6
Trigonometric Integrals - Part 4 of 6
Trigonometric Integrals - Part 5 of 6
Trigonometric Integrals - Part 6 of 6
Trigonometric Substitution - Example 1 Part 1 (the last part is cut off, but finished in the next video!
Trigonometric Substituion - Example 1 Part 2
Trigonometric Substitution - Example 2
Trigonometric Substitution - Example 3 Part 1
Trigonometric Substitution - Example 3 Part 2
Partial Fractions - How to Determine the Coefficients of a Partial Fraction Decomposition
A Complete Partial Fractions Problem
A Complete Partial Fractions Problem Using a Rationalizing Substitution
Calculating Double Integrals Over Rectangular Regions
Calculating Double Integrals Over General Regions
Reversing the Order of Integration - Example 1
Reversing the Order of Integration - Example 2
Finding Areas in Polar Coordinates
Double Integral using Polar Coordinates - Part 1
Double Integral using Polar Coordinates - Part 2
Double Integral using Polar Coordinates - Part 3
Evaluating a Triple Integral in Spherical Coordinates
Line Integrals - Evaluating a Line Integral
Using Integration to Solve First Order Linear Differential Equations
Finding Centroids/Centers of Mass - Part 1
Finding Centroids/Centers of Mass - Part 2
Improper Integrals
Basic Improper Integral Examples and Information
Example of a More Complicated Improper Integral using L'Hospitals Rule
Improper Integral Example with Infinity in the Upper and Lower Limit
Improper Integral with an Infinite Discontinuity at an Endpoint
Improper Integral with an Infinite Discontinuity in the Middle of the Interval
Volumes of Revolution
Calculating Volumes of Revolution Using the Disk/Washer Method
Work Problems
Finding the Work To Empty a Tank Full of Water
Polar Coordinates / Parametric Curves
Polar Coordinates - The Basics
Polar Coordinates - Basic Graphing
Parametric Curves - Basic Graphing
Parametric Functions - Finding First Derivatives
Parametric Functions - Finding Second Derivatives
Parametric Curves - Calculating Areas
Graphing a Polar Curve - Part 1
Graphing a Polar Curve - Part 2
Arc Length /Surface Area
Finding Surface Area - Part 1 of 2
Finding Surface Area - Part 2 of 2
Sequences and Series
What is a Sequence? Examples Showing Convergence or Divergence
More Examples of Showing Sequences Converging or Diverging
What is a Series? Discusses Geometric Series and the Test for Divergence
Geometric Series - Finding the Fraction Representation of a Rational Number Written as a Decimal
More Examples of Geometric Series and the Test for Divergence (Part 1)
Part 2 of the Above Video That Got Cut Off! (Part 2)
Showing A Series Diverges - Using Partial Sums
Basic Idea of the Integral Test for Series
Example 1 using the Integral Test for Series
Example 2 using the Integral Test for Series
Example 3 Using the Integral Test for Series
Basic Idea of the Limit Comparison Test and Direct Comparison Test for Series
Two Basic Examples: One using the Direct Comparison Test, One using the Limit Comparison Test
More Examples using the Direct Comparison Test and the Limit Comparison Test
Alternating Series, Basic Idea and Example
More Alternating Series Examples
Using The Alternating Series Estimation Theorem
Ratio Test to Determine if a Series Converges - Example 1
Ratio Test to Determine if a Series Converges - Example 2
Power Series for Functions by Manipulating the Power Series Representation for 1/(1-x)
Power Series - Finding the Interval of Convergence
Differentiating and Integrating Power Series to Derive New Power Series Expressions
Multiplying and Dividing Power Series
Taylor and MacLaurin Series - Example 1
Taylor and MacLaurin Series - Example 2
Taylor's Remainder Theorem aka Taylor's Inequality
The Binomial Series - Example 1
The Binomial Series - Example 2 - There is a small mistake at the very end! The power should be (2n+1)
Differential Equations
Solving Separable First Order Differential Equations
Solving First Order Linear Differential Equations (there is a small mistake that is noted during the video)
Solving Exact Differential Equations
Homogeneous Second Order Linear Differential Equations
Vectors
Finding the Magnitude or Length of a Vector
Calculating the Dot Product Between Two Vectors
Cross Product - Finding the Cross Product of Two Vectors
Torque - An Application of the Cross Product
Finding the Domain of a Vector Function
Finding the Limit of a Vector Function
Finding the Scalar Equation of a Plane
The Gradient Vector - Notation and Definition
AP/AB Calculus Videos
AB Calculus - Sample Questions 1 and 2
AB Calculus - Sample Questions 3 and 4
AB Calculus - Sample Questions 5 and 6
AB Calculus - Sample Questions 7 and 8
AB Calculus - Sample Questions 9 and 10
AB Calculus - Sample Questions 11 and 12
AB Calculus - Sample Questions 13 and 14
AB Calculus - Sample Questions 15 and 16
AB Calculus - Sample Questions 17 and 18
AB Calculus - Sample Questions 19 and 20
AB Calculus - Sample Questions 21 and 22
AB Calculus - Sample Questions 23 and 24
AB Calculus - Sample Questions 25 and 26
AB Calculus - Sample Questions 27 and 28
AP/BC Math Videos
BC Calculus - Sample Questions 1 and 2
BC Calculus - Sample Questions 3 and 4
BC Calculus - Sample Questions 5 and 6
BC Calculus - Sample Questions 7 and 8
BC Calculus - Sample Questions 9 and 10
BC Calculus - Sample Questions 11 and 12
BC Calculus - Sample Questions 13 and 14
BC Calculus - Sample Questions 15 and 16