Notes for Calculus I

1.   Derivatives - Part 1
          1.1   Mathematical models
          1.2   Rates of change for linear functions
          1.3   Instantaneous Rates of Change 
          1.4.  Limits
          1.5.  Mathematica calculations with algebra, limits & deriatives   pdf

2.   Derivatives - Part 1
          2.1.  Algebraic Rules for Finding Derivatives
          2.2.  Second and Higher Derivatives
          2.3.  Derivatives of Trigonometric Functions
          2.4.  The Chain Rule
          2.5   Implicit Differentiation
                      2.5.1  The Method
                      2.5.2  Computational Aspects
          2.6.  Examples of Derivatives Arising in Different Subjects
                      2.6.1  Marginal Costs
                      2.6.2  Heat Capacity and Specific Heat
          2.7.  Related Rates of Change
          2.8.  Linear Approximations
          2.9.  Newtons method

2.   Derivatives - Part 2
          3.5.  Maximum - Minimum Word Problems

4.   Integrals
          4.1   Indefinite Integrals
          4.2   Sums
          4.3   Definite Integrals
          4.4   The Fundamental Theorem of Calculus - Part 1
          4.5   The Fundamental Theorem of Calculus - Part 2
          4.6   Substitutions
          4.7   Numerical Integration

5.   Computer and Software Information
          5.1.  Using the Macintosh Computers
          5.2.  An Introduction to Mathematica
  
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