AP Calculus Collection 2016-2017
62 videos • 4,270 views • by North Carolina School of Science and Mathematics
1
Properties of Limits
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2
Continuity at a Point
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3
Derivative of an Algebraic Inverse Function
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4
Derivative of an Algebraic Inverse Function: Examples
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5
Trapezoidal Rule: Example 1
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6
Trapezoidal Rule: Example 2
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7
Trapezoidal Rule: Example 3
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8
Introduction to Integration and Anti-Differentiation
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9
Convergence of Infinite Geometric Series
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10
Taylor Series for f(x)=ln(x) Centered at x=1
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11
Interval and Radius of Convergence: Example #1
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12
The Limit Comparison Test
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13
The Alternating Series Test
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14
The Ratio Test
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15
Taylor Series for f(x)+cos(x) Centered at x=0: Maclaurin Series
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16
Remainder Estimation Theorem (Lagrange Error Bound) Example #3
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17
Convergence / Divergence of the Harmonic and p-Series
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18
Intuition about the Integral Test
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19
Remainder Estimation Theorem (Lagrange Error Bound) Example #2
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20
Remainder Estimation Theorem (Lagrange Error Bound) Example #1
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21
Interval and Radius of Convergence: Example #2
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22
Calculating Areas of Polar Curves
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23
Graphing Polar Curves
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24
Slope of a Polar Curve
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25
Building Intuition for Areas of Polar Curves
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26
Speed of an Object Parametric Form
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27
Sketching Parametric Curves
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28
Tangent Lines on Parametrically Defined Curves
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29
Investigating Parametrically Defined Curves
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30
Building Intuition for the Length of Path (Parametric Form)
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31
Development of Taylor Polynomials (nth degree)
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32
Taylor Polynomial for lnx about x=2
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33
Taylor Polynomial for e^x about x=0
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34
Operations with Power Series
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35
Evaluating Improper Integrals: Part 2
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36
Evaluating Improper Integrals: Part 1
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37
Applying the Method of Partial Fractions Example #3
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38
Applying the Method of Partial Fractions Example #2
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39
Applying the Method of Partial Fractions Example #1
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40
Development of the Method of Integration by Parts
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41
Applying Integration by Parts
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42
Introduction to using Noteflight
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43
The Washer Method Example #3
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44
The Washer Method Example #2
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45
The Washer Method Example #1
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46
The Disc Method Example #3
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47
The Disc Method Example #2
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48
Area Between Two Curves
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49
Area Between Two Curves Example #1
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50
Area Between Two Curves Example #2
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51
Area Between Two Curves Example #3
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52
Area Between Two Curves Example #4
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53
Area Between Two Curves Example #5
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54
Volumes of Solids by Using Cross-Sections
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55
Volumes of Solids by Using Cross-Sections Examples
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56
Volumes of Solids of Revolution: The Disc Method
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57
The Disc Method Example #1
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58
Volumes of Solids of Revolution: The Washer Method
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59
Antiderivatives Example #1
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60
Antiderivatives with Trigonometry
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61
Antiderivatives with Trigonometry Example
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62
Introduction to Integration: Initial Conditions and Particular Solutions
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