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Convergence / Divergence of the Harmonic and p-Series
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Classroom Contents
AP Calculus Collection 2016-2017
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- 1 Properties of Limits
- 2 Continuity at a Point
- 3 Derivative of an Algebraic Inverse Function
- 4 Derivative of an Algebraic Inverse Function: Examples
- 5 Trapezoidal Rule: Example 1
- 6 Trapezoidal Rule: Example 2
- 7 Trapezoidal Rule: Example 3
- 8 Introduction to Integration and Anti-Differentiation
- 9 Convergence of Infinite Geometric Series
- 10 Taylor Series for f(x)=ln(x) Centered at x=1
- 11 Interval and Radius of Convergence: Example #1
- 12 The Limit Comparison Test
- 13 The Alternating Series Test
- 14 The Ratio Test
- 15 Taylor Series for f(x)+cos(x) Centered at x=0: Maclaurin Series
- 16 Remainder Estimation Theorem (Lagrange Error Bound) Example #3
- 17 Convergence / Divergence of the Harmonic and p-Series
- 18 Intuition about the Integral Test
- 19 Remainder Estimation Theorem (Lagrange Error Bound) Example #2
- 20 Remainder Estimation Theorem (Lagrange Error Bound) Example #1
- 21 Interval and Radius of Convergence: Example #2
- 22 Calculating Areas of Polar Curves
- 23 Graphing Polar Curves
- 24 Slope of a Polar Curve
- 25 Building Intuition for Areas of Polar Curves
- 26 Speed of an Object Parametric Form
- 27 Sketching Parametric Curves
- 28 Tangent Lines on Parametrically Defined Curves
- 29 Investigating Parametrically Defined Curves
- 30 Building Intuition for the Length of Path (Parametric Form)
- 31 Development of Taylor Polynomials (nth degree)
- 32 Taylor Polynomial for lnx about x=2
- 33 Taylor Polynomial for e^x about x=0
- 34 Operations with Power Series
- 35 Evaluating Improper Integrals: Part 2
- 36 Evaluating Improper Integrals: Part 1
- 37 Applying the Method of Partial Fractions Example #3
- 38 Applying the Method of Partial Fractions Example #2
- 39 Applying the Method of Partial Fractions Example #1
- 40 Development of the Method of Integration by Parts
- 41 Applying Integration by Parts
- 42 Introduction to using Noteflight
- 43 The Washer Method Example #3
- 44 The Washer Method Example #2
- 45 The Washer Method Example #1
- 46 The Disc Method Example #3
- 47 The Disc Method Example #2
- 48 Area Between Two Curves
- 49 Area Between Two Curves Example #1
- 50 Area Between Two Curves Example #2
- 51 Area Between Two Curves Example #3
- 52 Area Between Two Curves Example #4
- 53 Area Between Two Curves Example #5
- 54 Volumes of Solids by Using Cross-Sections
- 55 Volumes of Solids by Using Cross-Sections Examples
- 56 Volumes of Solids of Revolution: The Disc Method
- 57 The Disc Method Example #1
- 58 Volumes of Solids of Revolution: The Washer Method
- 59 Antiderivatives Example #1
- 60 Antiderivatives with Trigonometry
- 61 Antiderivatives with Trigonometry Example
- 62 Introduction to Integration: Initial Conditions and Particular Solutions
