Kevin Quattrin, EdD
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Calculus Support Screen Casts
    

Chapter 0:  Reminders from PreCalculus
0.1:   
Important Facts for Calculus
Explanation    Example A      Example B     Example C                                
02:   
Factoring Review and Zeroes of Functions
Explanation     Example A      Example B     Example C      Example D                                 
103:    Sign Patterns
Explanation     Example A      Example B     Example C      Example D      

Chapter 1: Review of Derivatives                                      
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:    Product and Quotient Rules                                                    
 - Product Rule
Explanation     Example A     Example B     Example C      Example D                                         
 - Quotient Rule
Explanation     Example A     Example B     Example C      Example  D       
1.6:    Higher Order Derivatives     
Explanation    Example A      Example B     Example C   Example D                                                            
 

Chapter 2: Anti-Derivatives                                                                      
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                           
2.3:    The Transcendental Rules  
Explanation     Example A      Example B     Example C      Example D                                                   
2.4:    Separable Differential Equations   
Explanation     Example A      Example B     Example C      Example D                                          
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:  Limits, Continuity and Differentiability          
3.1:    Limits, L’Hopital’s Rule, and The Limit Definitions
of a Derivative  
Basic Limits
Explanation     Example A     Example B     Example C     Example D
L’Hopital’s Rule
Explanation     Example A     Example B     Example C     Example D
3.2     The Limit Definitions of a Derivative
Explanation     Example A     Example B     Example C     Example D
                                                   
3.3    Continuity, One-sided Limits, and Infinite Limits   
Explanation     Example A      Example B     Example C      Example D                  
3.4:    Differentiability and Smoothness                                           
Explanation     Example A      Example B     Example C      Example D
3.5:    Limits at Infinity and End Behavior  
Explanation     Example A      Example B     Example C      Example D & E                                      



Chapter 4 Applications of Derivatives              
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

4.5:    Graphing with Derivatives                                                    
Explanation     Example A      Example B     Example C      Example D       Example E
4.6:    Graphical Analysis with Derivatives                                       
Explanation    Example A      Example B      Example C     Example D        Example E   

Chapter 5 Derivatives as Rate of Change                                   
                                                      
5.1:    Motion 
Explanation     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


Chapter 6: Definite Integrals                                                  
6.1:    The Fundamental Theorem of Calculus     
Explanation    Example A      Example B     Example C      Example D                            
6.2:    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
 
6.3:    Definite Integrals and Integration by Substitution   
Explanation    Example A      Example B     Example C      Example D                
6.4:    Context:  Area, Displacement, and Net Change    
Explanation     Example A      Example B     Example C      Example D                    
6.5:    Graphical Analysis with Integration  
Explanation     Example A      Example B     Example C      Example D                                     
6.6:    Accumulation of Rates                                                         
Explanation     Example A      Example B     Example C      Example D                                                                      

Chapter 7: Applications of Integrals 

7.1:   Area between Two Curves  

Explanation   Example A      Example B     Example C     Example D
7.2:   Arc Length
Explanation   Example A      Example B     Example C      Example D
      
7.3:   Volume by Cross-section Method 
Explanation     Example A  and B     Example C      Example D     Example E
7.4:   Volume by Rotation about an Axis:  Disk Method
Explanation    Example A      Example B   

7.4:   Volume by Rotation about an Axis:  Washer Method
Explanation    
Example A      Example B/C
7.5:   Volume by Rotation about a Line not an Axis
Explanation
     Example A      Example B     Example C     
7.6:   Volume by Shell Method
Explanation      Example A     Example B     










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