Calculus Semester I

 

Chapter 1—Limits and Properties (14 days)

  • 1.1        A Preview of Calculus                                                
  • 1.2       Finding Limits Graphically and Numerically            
  • 1.3       Finding Limits Analytically                                      
  • 1.4       Continuity and One-Sided Limits                                
  • 1.5       Infinite Limits                                                        
  • Practice Test                                                                    
  • Chapter Test                                                                          

 

 

 

 

Chapter 2—Differentiation (20 days)

  • 2.1       The Derivative and the Tangent Line Problem   
  • 2.2       Basic Differentiation Rules and Rates of Change         
  • 2.3       The Product and Quotient Rules                       
  • Mid-Chapter Test                                                                    
  • 2.4       The Chain Rule                                                            
  • 2.5       Implicit Differentiation                                              
  • 2.6       Related Rates                                                               
  • Practice Test                                                                        
  • Chapter Test                                                                           

 

 

 

 

Chapter 3—Applications of Differentiation (23 days)

  • 3.1       Extrema on an Interval                                    
  • 3.2       RolleÕs Theorem                                                           
  • 3.3       First Derivative Test                                                  
  • 3.4       Second Derivative Test                                               
  • Mid-Chapter Test                                                                    
  • 3.5       Limits at Infinity                                                        
  • 3.6       A Summary of Curve Sketching                        
  • 3.7       Optimization Problems                                                
  • 3.8       NewtonÕs Method                                                        
  • 3.9       Differentials                                                              
  • Practice Test                                                                         
  • Test                                                                                        

 

Chapter 4---Integration  (18 days)

  • 4.1  Antiderivatives and Indefinite Integration            
  • 4.2  Area                                                                                 
  • 4.3  Reimann Sums and Definite Integrals                               
  • Mid-Chapter Test                                                                   
  • 4.4  The Fundamental Theorem of Calculus                               
  • 4.5  Integration by Substitution                                              
  • 4.6  Numerical Integration                                                      
  • Practice Test                                                                         
  • Unit Test                                                                              

 

     Review and Midterm Exams                                                            

 

 

 

Semester II

 

Chapter 5 (31 days)

  • 5.1       The Natural Logarithmic Function: Differentiation      
  • 5.2       The Natural Logarithmic Function: Integration
  • 5.3       Inverse Functions                                                        
  • 5.4       Exponential Functions                                                
  • 5.5       Bases Other than e and Applications                            
  • Mid-Chapter Test                                                                    
  • 5.6       Differential Equations: Growth and Decay                    
  • 5.7       Differential Equations: Separation of Variables           
  • 5.8       Inverse Trigonometric Functions: Differentiation       
  • 5.9       Inverse Trigonometric Functions: Integration             
  • Practice Test                                                                          
  • Unit Test                                                                                

 

Chapter 6 (12 days)

  • 6.1       Area of A Region Between Two Curves                         
  • 6.2       Volume: The Disk Method                                           
  • 6.3       Volume: The Shell Method                                            
  • Practice Test                                                                        
  • Unit Test                                                                                

 

Chapter 7 (18 days)

  • 7.1       Basic Integration Rules                                               
  • 7.2       Integration by Parts                                                    
  • 7.3       Trigonometric Integrals                                              
  • 7.4       Trigonometric Substitution                                         
  • 7.7       Indeterminate Forms and LÕHopitalÕs Rule                    

 

 

 

Back To Classroom