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Chapter 1: Review of Derivatives                                      
Chapter 1 OVERVIEW
1.1:    The Power Rule and Exponential Rule 
Explanation    Example A      Example B     Example C                                
1.2:    Composite Functions and the Chain Rule  
Explanation     Example A      Example B     Example C      Example D                                 
1.3:    Trig and Log Rules   
Explanation     Example A    Example B     Example C     Example D                                                 
1.4:    Local Linearity and Approximations                                         
Explanation     Example A      Example B     
1.5:    The Product Rule                                                   
Explanation     Example A     Example B     Example C      Example D                                         
1.5:    The Quotient Rule
Explanation     Example A     Example B     Example C      Example D       
1.7:    Higher Order Derivatives     
Explanation    Example A      Example B     Example C      Example D                             
 

Chapter 2: Anti-Derivatives     
Chapter 2 OVERVIEW                                                                
2.1:    Anti-Derivatives, the Anti-Power Rule  
Explanation     Example A       Example B     Example C      Example D        
Common Errors in Integration
Explanation                        
2.2:    Integration by Substitution--the Chain Rule  
Explanation     Example A      Example B     Example C      Example D     
Alternative Explanation (Murphy)                    
2.3:    The Transcendental Rules and Integration by Substitution
Explanation     Example A      Example B     Example C      Example D                                                   
2.4:    Separable Differential Equations   
Explanation     Example A      Example B     Example C      Example D   Example E                              2.5:    Slope Fields:  Creating Slope Fields   (general Explanation)
Explanation    Example A      Example B     Example C     Example D 
2.5:    Slope Fields:  Reading Slope Fields
Explanation    Examples A-C     Examples D-F
 

Chapter 3: Definite Integrals                                                  
Chapter 3 OVERVIEW
3.1:    The Fundamental Theorem of Calculus     
Explanation    Example A      Example B     Example C      Example D                            
3.2:    Definite Integrals and Integration by Substitution   
Explanation    Example A      Example B     Example C      Example D         
3.3:    Definite Integrals, Riemann Rectangles, and Trapezoidal Rule
  – Riemann Sums
Explanation     Example A      Example B     Example C      Example D     Example E
 – Trapezoidal Rule
Explanation     Example A      Example B     Example C      Example D
3.4:    Context:  Area, Displacement, and Net Change    
Explanation     Example A      Example B     Example C      Example D                                                 
3.5:    Intro to AP:   Accumulation of Rates                                                         
Explanation     Example A      Example B     Example C      Example D     
3.6:   Intro to AP:   Table Problems  
Explanation     Example A     Example B      Example C          

Chapter 4 Applications of Derivatives              
Chapter 4 OVERVIEW
4.1:    Extrema and the Derivative Tests
     Extrema:    Explanation    
     The First and Second Derivative Tests :
        Explanation     Example A      Example B     Example C     Example D      Example E               
42:   The Mean Value Theorem
Explanation     Example A      Example B     Example C       
4.3:    Optimization                                                                       
Explanation     Example A      Example B     Example C  
4.4:     The Second Derivative, Points of Inflection, and Concavity
Explanation     Example A     Example B     Example C     Example D  
4.5:    Graphing with Derivatives                                                    
Explanation     Example A      Example B     Example C      Example D       Example E
4.6:    Graphical Analysis I                                      
Explanation    Example A      Example B      Example C     Example D        Example E   
4.7:    Graphical Analysis II 
Explanation     Example A      Example B     Example C      Example D       

Chapter 5 Derivatives as Rate of Change                                   
Chapter 5 OVERVIEW                                                      
5.1:    Motion 
Explanation Part I                    Explanation Part II
Example A      Example B     Example C      Example D/E                                           
5.2:    Implicit Differentiation                                                   
Explanation     Example A      Example B     Example C      Example D    
5.3:    Related Rates
Explanation     Example A      Example B     Example C      Recap       
5.4:    Logistic Growth
Explanation   Example A      Example B     Example C       Example D    
                                                                

Chapter 6: Applications of Integrals 
Chapter 6 OVERVIEW
6.1:   Area between Two Curves  
Explanation
Example A      Example B     Example C     Example D
6.2:   Arc Length
Explanation   Example A      Example B     Example C      Example D    
 
Intro To Volume

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


Chapter 7:  Limits, Continuity and Differentiability          
Chapter 7 OVERVIEW
7.1:    Limits and L’Hopital’s Rule 
Basic Limits
Explanation     Example A     Example B     Example C     Example D
L’Hopital’s Rule
Explanation     Example A     Example B     Example C     Example D
7.2:     The Limit Definitions of a Derivative
Explanation     Example A     Example B     Example C     Example D                                            
7.3:    One-sided Limits   
Explanation     Example A      Example B     Example C      Example D                  
7.3:    Infinite Limits   
Explanation     Example A      Example B     Example C      Example D    
7.4:    Continuity 
Explanation     Example A      Example B     Example C      Example D      
7.5:    Differentiability and Smoothness                                           
Explanation     Example A      Example B     Example C      Example D
7.6:    Limits at Infinity and End Behavior  
Explanation      Example A      Example B     Example C      Example D & E                                      

Chapter 8: AP Calculus AB Reviews
Chapter 8 OVERVIEW
8.0:     The AP Exam 8.1:      Accumulation of Rates 8.2:     Table Problems
  • Solution to Dr. Quattrin's Solar panels Problem
8.3:     Graphical Analysis
  • Solution to the Graphical Analysis Practice problem
8.4:     Rectilinear Motion 8.5:     Separation of Variables 8.6:     Area and Volume
  • Solution to the Wood Table and Practice Volume Problems
8.7:     Related Rates
  • Solution to the Two Train Problem
8.8:     Miscellaneous Topics
  • Solutions to the AB Miscellaneous Practice Problems

Appendix A:  Reminders from PreCalculus
A.1:    Important Facts for Calculus
Explanation    Example A      Example B     Example C                                
A2:    Factoring Review and Zeroes of Functions
Explanation     Example A      Example B     Example C      Example D                                 
A3:    Sign Patterns
Explanation     Example A      Example B     Example C      Example D