Notes for Calculus II

   Calculus II

1.	Some Inportant Functions	  
  1.1  Inverse Functions
        1.1.1  Concepts
        1.1.2  Calculations
  1.2  Exponentials and Logarithms
        1.2.1  Exponentials and logarithms to the base e
        1.2.2  Derivatives of Exponentials and Logarithms
        1.2.3  Integrals Involving Exponentials and Logarithms
        1.2.4  Exponential growth and decay
  1.3  Inverse Trigonometric Functions       
  1.4  Hyperbolic Functions 
  1.5  L'Hospital's rule       

2.	Integration Methods	  
  2.1  Integration by parts
  2.2  Trigonometric integrals
  2.3  Trigonometric Substitutions
  2.5  Numerical Integration
  2.6  Improper Integrals
  2.7  Doing Integrals with Mathematica

3.	Applications of Integration
  3.1  Arc length

4.	Curves	  
  4.1  Parametric equations
  4.3  Conic Sections

5.	Sequences and Series	  
  5.1  Sequences
  5.4  Comparison tests
  

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