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AP Stats Resources by Sequential Topic

1.0 Precalculus Topics

1.1  Properties of Logarithms

1.1.1  Video:  What You Need to Know about Logs  (20:36)

1.2  Vertical Asymptotes

1.2.1 Video:  Vertical Asymptotes of Rational Functions (8:41)

1.3  Horizontal Asymptotes

1.3.1  Video:  Horizontal Aymptotes (4:34)

1.4  Unit Circle Memorization

1.4.1 Video: Memorizing Unit Circle  (6:16)

1.4.2 Video:  Another Memorizing Unit Circle (13:11)

1.5 Special Triangle Trig

1.5.1 Video: 45-45-90 and 30-60-90 Triangles (13:13)

1.6 Prerequesit Test for Calculus

1.6.1  Test (pdf)

1.6.2  Answers (pdf)

2.0 Limits, Continuity, and Slope

2.1 Rates of Change and Limits

2.2 Continuity and Intermediate Value Theorem

2.3 Rates of Change and Tangent Lines

3.0 Basics of Derivatives

3.1 Limit Definition of Derivative

3.2  Differentiability

3.3 Rules for Differentiability

3.4 Velocity and Other Rates of Change

3.5 Derivatives of Trig Functions

4.0 More on Derivatives

4.1 Chain Rule

4.2 Implicit Differentiation

4.3 Derivatives of Inverse Functions 

4.4 Inverse Trig Functions, Exponentials, Logs

4.5 L'Hopital's rule

5.0 Applications of Derivatives

5.1 Extreme Values (Local and Global Maxima)

5.2 Mean Value Theorem

5.3 First and Second Derivative Tests 

5.4 Optimization

5.5 Linearization (Estimating with Tangents)

5.6 Related Rates

6.0  Anti-Derivatives and Integrals

6.1 Estimating with Finite Sums

6.2 Definite Integrals

6.3  Fundamental Theorem of Calculus

6.4 Integration with U-Substitution

7.0  Applications of Integrals

7.1 Slope Fields and Differential Equations

7.2 Solving Separable Differential Equations

7.3 Integral as Net Change

7.4 Areas 

7.5 Volume of Cross Sections

7.6 Volume by Disk/Washer Method

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