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Chapter 1: Review of Derivatives 

1.1:   The Power and Exponential Rules 
Explanation    Example A      Example B     Example C                
1.1:   The Chain Rule
Explanation     Example A      Example B     Example C      Example D          
1.2:   Trig, Trig Inverse, and Log Rules   
Explanation     Example A      Example B     Example C      Example D                
1.3:   The Product Rule
Explanation     Example A     Example B     Example C      Example D                                         
1.3:   The Quotient Rule
Explanation     Example A     Example B     Example C      Example D
1.3:   Local Linearity and Approximations
Explanation     Example A      Example B              
1.4:   Euler’s Method and Approximations
Explanation     Example A      Example B    Example C      Example D
1.5:    ​Intro to AP:  Basic Derivatives Numerically and Graphically
Explanation Part 1   Example A    Example B    Example C     Example D
Explanation Part 2  Example A    Example B  
1.6:   Higher Order Derivatives
Explanation    Example A      Example B     Example C      Example D
1.7:   Implicit Differentiation
Explanation     Example A      Example B     Example C      Example D                                    
1.8:   Logarithmic Differentiation


Chapter 2: Anti-Derivatives  

2.1:   The Power and Transcendental Rules    
Explanation     Example A      Example B     Example C      Example D 
2.1:   Common Errors in Integration
Explanation
2.2:   Integration by Substitution--the Chain Rule
Explanation     Example A      Example B     Example C      Example D
2.3:   Separable Differential Equations
Explanation     Example A      Example B     Example C      Example D
2.4   Back Substitution
Explanation     Example A     Example B     Example C  
2.5:   Powers of Trig Functions:  Sine and Cosine
Explanation     Example A     Example B     Example C     Example D     Example E    
2.6:    Powers of Trig Functions:  Secant and Tangent
Explanation     Example A     Example B     Example C     Example D
2-7:   Creating Slope Fields   (general Explanation)
Explanation    Example A      Example B     Example C     Example D 
2-7:   Reading Slope Fields
Explanation    Examples A-C     Examples D-F
                                                                                             
Chapter 3: Derivatives and Graphs    

3.1:   Extremes and the Derivative Tests
Explanation     Example A      Example B     Example C     Example D      Example E
3.1:   Optimization 
Explanation     Example A      Example B     Example C     
3.2:   The Second Derivative, Points of Inflection, and Concavity
Explanation     Example A     Example B     Example C     Example D  
3.3:   Graphing with Derivatives
Explanation     Example A      Example B     Example C      Example D       Example E
3.4:   Graphical Analysis I
Explanation    Example A      Example B      Example C     Example D        Example E   
3.5:   Rectilinear Motion
Explanation     Example A      Example B     Example C      Example D/E
3.6:   Related Rates 
Explanation     Example A      Example B     Example C      Recap   

Chapter 4: Integrals   

4.0.  The Limit Definition of the Definite Integral
Explanation    Example A     Example B
4.1:   The Fundamental Theorem of Calculus
Explanation    Example A      Example B     Example C      Example D
4.2:   Definite Integrals and Integration by Substitution
Explanation    Example A      Example B     Example C      Example D
4.3:   Context:  Area, Displacement, and Net Change
Explanation     Example A      Example B     Example C      Example D
4.4:   Graphical Analysis II 
Explanation     Example A      Example B     Example C      Example D
4.5:   Intro to AP:  Accumulation of Rates
Explanation     Example A      Example B     Example C      Example D
4.6:   Approximate Integration – Riemann Sums
Explanation     Example A      Example B     Example C      Example D     Example E
4.6:   Approximate Integration – Trapezoidal Rule
Explanation     Example A      Example B     Example C      Example D
4.7:  Intro to AP:   Table Problems  
Explanation     Example A     Example B      Example C 
4.7:  The Mean Value Theorem
Explanation     Example A      Example B     Example C
4.8:   Intro to AP:   Rectilinear Motion 
Explanation     Example A      Example B     Example C      Example D/E      

Chapter 5: Applications of Integrals 

Chapter 5 OVERVIEW
5.1:   Area between Two Curves  
Explanation
Example A      Example B     Example C     Example D
5.2:   Arc Length
Explanation   Example A      Example B     Example C      Example D    
 
Intro To Volume

5.3 Part 1:   Volume by Rotation about  Axis:  Disk Method
Explanation    Example A      Example B   
5.3 Part 2:   Volume by Rotation about an Axis:  Washer Method
Explanation     Example A      Example B/C
5.5:   Volume by Rotation about a Line not an Axis
Explanation     Example A      Example B     Example C     
6.6:   Volume by Cross-section Method 
Explanation     Example A  and B     Example C      Example D     Example E
5.7:   AP Volume FRQs
Explanation    Example A     Example B      Example C      
5.8:   Volume by Shell Method
Explanation      Example A     Example B     

Chapter 6: Limits, Continuity and Differentiability    

6.1:   Basic Limits
Explanation     Example A     Example B     Example C     Example D
6.1:   L’Hopital’s Rule
Explanation     Example A     Example B     Example C     Example D
6.1:   The Limit Definitions of a Derivative
Explanation     Example A     Example B     Example C     Example D
6.2:   Continuity and One-sided Limits
Explanation     Example A      Example B     Example C      Example D
6.3:   Differentiability and Smoothness
Explanation     Example A      Example B     Example C      Example D
6.4:   Limits at Infinity and End Behavior  
Explanation     Example A      Example B     Example C      Example D & E
6.5:   Type I Improper Integrals 
Explanation     Example A      Example B     Example C      Example D
6.6:   Infinite Limits and Type II Improper Integrals 
Explanation    Example A      Example B     Example C


Chapter 7: Sequences and Numerical Series    

7.1:    Intro to Sequences
Explanation     Example A      Example B     Example C      Example D
7.1:   Intro to Series
Explanation     Example A      Example B     Example C      Example D
7.2:   Convergence and Divergence:  Sequences
Explanation     Example A      Example B     
7.2:   Convergence and Divergence:  Series
Explanation     Example A      Example B     
7.3:   The Integral Test 
Explanation     Example A      Example B     Example C      Example D
7.4:   The Comparison Tests:  DCT
Explanation     Example A      Example B     Example C      Example D
7.4:   The Comparison Tests:  LCT
Explanation     Example A      Example B     Example C    
7.5:   Absolute Convergence    
Explanation     Example A and B     Example C    
7.6:   The Ratio Test  
Explanation     Example A      Example B     Example C      Example D
7.6:   The Nth Root Test
Explanation     Example A
7.7:   General Series Summary
Explanation/Example A      Example B     Example C      Example D


Chapter 8: Advanced Integration     

8.1:   Integrals of Rational Functions
Explanation   Example A/B     Example C      Example D
8.2:   Partial Fractions I -- Simple Linear Factors
Explanation   Example A      Example B     Example C      Example D
8.3:    Models of Growth and Decay
Explanation     Example A      Example B     Example C/D     
8.3:    Simple Bounded Growth
Explanation     Example A      Example B     Example C    
8.3:    Logistic Growth
Explanation   Example A      Example B     Example C       Example D  
8.4:   Integration by Parts 
Explanation   Example A      Example B     Example C      Example D   Example E
8.5:   Trig Substitution
Explanation   Example A      Example B     Example C      Example D
8.6:   Partial Fractions II -- Repeated Linear Factors     
Explanation    Example A      Example B     Example C   
8.7:   Partial Fractions III -- Quadratic Factors   
Explanation    Example A      Example B     Example C   
8.8:   General Integration
Explanation   Example A      Example B     Example C      Example D      Example E  


Chapter 9: Parametric and Polar Coordinates     

9.1:   Parametrics Motion
Explanation   Example A      Example B     Example C      Example D
9.2:   Parametrics and Graphing
Explanation   Example A      Example B     Example C      Example D
9.3.  Intro to AP:  Parametrics
Explanation.    Example A    Example B    
9.4:   Polar and Cartesian Coordinates
Explanation   Example A      Example B     Example C      Example D
9.5:   Polar Coordinates and Simple Area
Explanation   Example A      Example B     Example C      Example D
9.5:   Polar Graphs and Arc Length
Explanation   Example A      Example B     Example C     Example D
9.6:   Integrals and Polar Graphs-- Area Inside Two Curves
Explanation   Example A      Example B     Example C      Example D
9.6:   Integrals and Polar Graphs-- Area Inside one curve and Outside another
Explanation   Example A      Example B     Example C      Example D
9.7:   Derivatives and Polar Graphs
Explanation   Example A      Example B     Example C      Example D
9.7:   Tangent Lines and Polar Graphs
Explanation   Example A & B olar    Example C     Example D   
9.8.  Intro to AP:  Parametrics
Explanation.    Example A    Example B    

Chapter 10: Power Series     

10.1:   Taylor and Maclaurin Series
Explanation   Example A      Example B     Example C      Example D
10.1:   Series Approximations and Error   
Explanation   Example A      Example B     Example C      Example D
10.2:   Power Series    
Explanation/Example A        Example B     Example C     
10.3:   Review of Numerical Series 
Explanation/Example A        Example B     Example C      Example D 
10.4:   Radius and Intervals of Convergence 
Radius Explanation     Interval Explanation
Example A      Example B     Example C      Example D      Example E
10.5   Intro to AP:  Series
Explanation.    Example A    Example B    

Chapter 11: AP Calculus FRQ Topic Reviews

AB.0:     The AP Exam

• Studying for the 2021 Digital Exam

11.1:      Accumulation of Rates

• Solution to the Tombstone Mine Problem

11.2:     Table Problems

• Solution to Dr. Quattrin's Solar panels Problem

11.3:     Graphical Analysis

• Solution to the Graphical Analysis Practice problem

11.4:      Power Series

• Solution to the Series Practice Problem

11.5:     Separation of Variables

• Solution to the Parachutist Problem

11.6:       Parametrics

• Solution to the Parametric Practice Problem

11.7:      Polars

• Solution to the Polar Practice Problem

11.8:     Area and Volume

• Solution to the Wood Table and Practice Volume Problems

11.9:     Related Rates

• Solution to the Two Train Problem

11.10:      Miscellaneous BC Topics (including Partial Fractions)

• Solutions to the Miscellaneous BC Topics Problems

11.11:     Miscellaneous AB Topics

• Solutions to the AB Miscellaneous Practice Problems

11.12:     Rectilinear Motion

• Solution to the Two Particle Problem