Math 125
               Fall, 2003
            Syllabus by Date

1.1    08/27  Wed.  Fours ways to represent a function
1.2                 Mathematical models
1.3                 New functions from old functions
1.4                 Graphing calculators and computers
2.1    08/29  Fri.  The tangent and velocity problems

2.2    09/01  Mon.  The limit of a function
       09/02  Tue.  Quiz  1
2.3    09/03  Wed.  Calculating limits using the limit laws
2.5    09/05  Fri.  Continuity

2.6    09/08  Mon.  Tangents, velocity and other rates of change
       09/09  Tue.  Quiz  2
3.1    09/10  Wed.  Derivatives
3.2    09/12  Fri.  The derivative as a function

3.3    09/15  Mon.  Differentiation formulas
       09/16  Tue.  Quiz  3
3.4    09/17  Wed.  The rate of change in the natural and social sciences
3.5    09/19  Fri.  Derivatives of trigonometric functions

3.6    09/22  Mon.  The Chain Rule
       09/24  Wed.  Review for Exam 1
       09/25  Thur. Exam 1
       09/26  Fri.  --------------

3.7    09/29  Mon.  Implicit differentiation
       09/30  Tue.  Quiz  4
3.8    10/01  Wed.  Higher derivatives
3.9    10/03  Fri.  Related Rates

3.10   10/06  Mon.  Linear approximation and differentials
       10/07  Tue.  Quiz  5
4.1    10/08  Wed.  Maximum and minimum values
4.2    10/10  Fri.  The Mean Value Theorem

4.3    10/13  Mon.  How derivatives affect the shape of a graph
       10/14  Tue.  Quiz  6
4.4    10/15  Wed.  Limits at infinity; horizontal asymptotes
4.5    10/17  Fri.  Summary of curve sketching
4.6                 Graphing with calculus and calculators

       10/20  Mon.  Fall Break
       10/21  Tue.  Fall Break
       10/22  Wed.  Fall Break
       10/24  Fri.  Fall Break

       10/27  Mon.  Review for Exam 2
       10/28  Tue.  Exam 2
4.7    10/29  Wed.  Optimization problems
4.8    10/31  Fri.  Applications to economics

4.9    11/03  Mon.  Newton's Method
       11/04  Tue.  Quiz  7
4.10   11/05  Wed.  Antiderivatives
5.1    11/07  Fri.  Areas and distances

5.2    11/10  Mon.  The definite integral
       11/11  Tue.  Quiz  8
5.3    11/12  Wed.  The Fundamental Theorem of Calculus
       11/14  Fri.  -----------------------------------

5.4    11/17  Mon.  Indefinite integrals and the Net Change Theorem
       11/18  Tue.  Quiz  9
5.5    11/19  Wed.  The Substitution Rule
6.1    11/21  Fri.  Area between curves

6.2    11/24  Mon.  Volumes
       11/25  Tue.  Quiz 10
6.3    11/26  Wed.  Volumes by cylindrical shells
       11/28  Fri.  Thanksgiving Break

       12/01  Mon.  Review for Exam 3
       12/02  Tue.  Exam 3
       12/03  Wed.  -----------------------------
6.5    12/05  Fri.  Average value of a function

       12/08  Mon.  Review for Final
       12/10  Wed.  Review for Final