```I HAVE A NEW WEBSITE - PATRICKJMT.COM THAT IS NEW AND MORE UPDATED FOR THE MATH VIDEOS.CALCULUS TOPICSLimits Basic Limit InformationCalculating Limits by Factoring and Cancelling Calculating Limits by Getting Common DenominatorsCalculating Limits by Expanding and CancellingCalculating Limits by Multiplying by a ConjugateCalculating Limits by using: limit x--> 0 [sin(x)/x] = 1Calculating Limits Involving Absolute ValueInfinite LimitsThe Squeeze Theorem For Limits Limits 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 RuleIndeterminate Quotients - Basic Idea and ExamplesIndeterminate Products - Basic Idea and ExamplesIndeterminate Differences - Basic Idea and ExamplesIndeterminate Powers - Basic Idea and Examples ContinuityContinuity - Basic Idea and Types of Discontinuities Continuity - Examples of Finding Discontinuities of Piecewise Functions  DerivativesBasic Derivative FormulasBasic Derivative ExamplesSketching the Derivative of a FunctionFinding the Equation of a Tangent LineFind the Linearization at a PointFinding the Derivative Using the Definition of the Derivative Derivatives Using the Product RuleMore Examples Using the Product Rule Derivatives Using the Quotient RuleMore Examples Using the Quotient Rule Derivatives Using the Chain RuleMore Chain Rule ExamplesChain Rule - Harder Example # 1Chain Rule - Harder Example # 2Chain Rule - Harder Example # 3 More Complicated Derivative Examples More Complicated Derivative Examples - Part 2Using the Product and Chain Rule to Find a Derivative - Then Factoring and Simplifying Derivatives Using Implicit DifferentiationDerivatives Using Implicit Differentiation - More Examples #1Derivatives Using Implicit Differentiation - More Examles #2Related Rates Problems and Implicit DifferentiationRelated Rates Involving a ConeRelated Rates - A point moving on a graphRelated Rates - With TrigonometryRelated Rates - Baseball Diamond ExampleLogarithmic Differentiation - Basic Idea and ExampleLogarithmic Differentiation Example 2Derivatives 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 FunctionsInverse Trigonometric Derivative Example 1Inverse Trigonometric Derivative Example 2Inverse Trigonometric Derivative Example 3More Examples Involving Inverse Trig FunctionsFinding Partial DerivativesThe General Chain Rule - Part 1The General Chain Rule - Part 2Newtons MethodWhere a Function is Increasing and Decreasing , Finding Local Maximums and Local MinimumsWhat does it mean for a function to be increasing/decreasing? What is a local maximum and a local minimum? Basic IdeaFinding Critical Numbers - Example 1Finding Critical Numbers - Example 2crUsing the First Derivative to find where a funtion is increasing/decreasing and where the local maximums and minimums occur- 2 basic examplesUsing the First Derivative to find where a funtion is increasing/decreasing and where the local maximums and minimums occur - Harder ExampleLagrange Multipliers - Finding Maximums or MinimumsUsing the Second Derivative to Find Local Maximums and Local Minimums Using the Second Derivative to Find Where a Function is Concave Up/Concave DownOptimization Problem #1Optimization Problem #2Optimization Problem #3Finding Local Maximums, Local Minimums and Saddle Points - Example 1Finding Local Maximums, Local Minimums and Saddle Points - Example 2Curve Sketching Using Calculus - Part 1 of 2Curve Sketching Using Calculus - Part 2 of 2Directional DerivativesDifferentials and ApproximationsIntegration Techniques / Antiderivatives Summation Notation The Definite Integral - Understanding the DefinitionApproximating a Definite Integral Using RectanglesTrapezoidal Rule to Approximate a Definite IntegralSimpson's Rule to Approximate a Definite IntegralSimpson's Rule and Error BoundsCalculating a Definite Integral Using Riemann Sums - Part 1Calculating a Definite Integral Using Riemann Sums - Part 2 Basic Integration Formulas - turn down your volume, I was too close to the mic! : )  Basic Antiderivate Examples - Indefinite IntegralMore Basic Integration Problems<!--
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Basic Definite Integral Example Indefinite Integral - U-substitution Definite Integral - U-substitutionMore Integration Using U-SubstitutionMore Complicated U-Substitution ProblemsIntegration Involving Inverse Trigonometric Functions Integration By Parts - Indefinite Integral Integration By Parts - Definite IntegralMore Integration By Parts ExamplesUsing Integration Parts TwiceUsing Integration By Parts - A "Loopy" ExampleTrigonometric Integrals - Part 1 of 6Trigonometric Integrals - Part 2 of 6Trigonometric Integrals - Part 3 of 6Trigonometric Integrals - Part 4 of 6Trigonometric Integrals - Part 5 of 6Trigonometric 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 2Trigonometric Substitution - Example 3 Part 1Trigonometric Substitution - Example 3 Part 2Partial Fractions - The Different Types of Partial Fraction Decompositions / How to Decompose a Rational FunctionPartial Fractions - How to Determine the Coefficients of a Partial Fraction DecompositionA Complete Partial Fractions ProblemA Complete Partial Fractions Problem Using a Rationalizing SubstitutionCalculating Double Integrals Over Rectangular RegionsCalculating Double Integrals Over General RegionsReversing the Order of Integration - Example 1Reversing the Order of Integration - Example 2Finding Areas in Polar CoordinatesDouble Integral using Polar Coordinates - Part 1Double Integral using Polar Coordinates - Part 2Double Integral using Polar Coordinates - Part 3Evaluating a Triple IntegralEvaluating a Triple Integral in Spherical CoordinatesLine Integrals - Evaluating a Line IntegralUsing Integration to Solve First Order Linear Differential EquationsFinding Centroids/Centers of Mass - Part 1Finding Centroids/Centers of Mass - Part 2Improper IntegralsBasic Improper Integral Examples and InformationExample of a More Complicated Improper Integral using L'Hospitals RuleImproper Integral Example with Infinity in the Upper and Lower LimitImproper Integral with an Infinite Discontinuity at an Endpoint Improper Integral with an Infinite Discontinuity in the Middle of the IntervalVolumes of RevolutionCalculating Volumes of Revolution using the Disk/Washer Method - Rotating Regions about a Horizontal Line (for ex., the X-axis)  Calculating Volumes of Revolution using the Disk/Washer Method - Rotating Regions about a Vertical Line (for ex., the Y-axis)Calculating Volumes of Revolution Using the Disk/Washer MethodWork ProblemsFinding the Work To Empty a Tank Full of WaterPolar Coordinates / Parametric CurvesPolar Coordinates - The BasicsPolar Coordinates - Basic GraphingParametric Curves - Basic GraphingParametric Functions - Finding First DerivativesParametric Functions - Finding Second DerivativesParametric Curves - Calculating AreasGraphing a Polar Curve - Part 1Graphing a Polar Curve - Part 2Arc Length /Surface AreaArc LengthFinding Surface Area - Part 1 of 2Finding Surface Area - Part 2 of 2 Sequences and SeriesWhat is a Sequence? Examples Showing Convergence or DivergenceMore Examples of Showing Sequences Converging or Diverging What is a Series? Discusses Geometric Series and the Test for DivergenceGeometric 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)Telescoping SeriesShowing A Series Diverges - Using Partial SumsBasic Idea of the Integral Test for SeriesExample 1 using the Integral Test for SeriesExample 2 using the Integral Test for SeriesExample 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 ExampleMore Alternating Series ExamplesUsing The Alternating Series Estimation TheoremRatio Test to Determine if a Series Converges - Example 1Ratio Test to Determine if a Series Converges - Example 2Root Test for SeriesPower Series for Functions by Manipulating the Power Series Representation for 1/(1-x)Power Series - Finding the Interval of ConvergenceDifferentiating and Integrating Power Series to Derive New Power Series ExpressionsMultiplying and Dividing Power SeriesTaylor and MacLaurin Series - Example 1Taylor and MacLaurin Series - Example 2Taylor's Remainder Theorem aka Taylor's InequalityThe Binomial Series - Example 1The Binomial Series - Example 2 - There is a small mistake at the very end! The power should be (2n+1) Differential EquationsSolving Separable First Order Differential EquationsSolving First Order Linear Differential Equations (there is a small mistake that is noted during the video)Solving Exact Differential EquationsHomogeneous Second Order Linear Differential Equations VectorsFinding the Magnitude or Length of a VectorCalculating the Dot Product Between Two VectorsCross Product - Finding the Cross Product of Two VectorsTorque - An Application of the Cross ProductTangent Plane ApproximationsFinding the Domain of a Vector FunctionFinding the Limit of a Vector FunctionFinding the Scalar Equation of a PlaneDirectional DerivativesThe Gradient Vector - Notation and DefinitionThe JacobianAP/AB Calculus VideosAB 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 20AB 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  <!--
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