MATH 229   Calculus I     Syllabus and Suggested Class Pace     FALL 2004

Please note that the syllabus will need to be adjusted from time to time. Exam dates may vary from the ones indicated. It is the student's responsibility to monitor the pace of the lectures; if you must miss a class, find out precisely which material you must learn on your own.

Week Dates Sections Topics
1 8/23-27 1.1, 1.2, 1.4, 2.1 Preview, Presentations of functions, Mathematical models, Graphing calculators, Tangent and velocity problems
2 8/30-9/3 2.2, 1.3, 2.3, 2.4 The limit of a function, Transformation, combination, and composition, Limit Laws, Precise definition of limit

9/6
Labor Day
3 9/7-10 2.5, 2.6 Continuity, Tangents, velocities, and rates of change
4 9/13-17 3.1, 3.2, T1 Derivatives, Derivative as a function, Review, EXAM 1
5 9/20-24 3.3, 3.4, App. D Differentiation formulas, Rates of change, Trigonometry review
6 9/27-10/1 3.5, 3.6, 3.7 Derivatives of trig functions, Chain rule, Implicit differentiation
7 10/4-8 3.8, 3.9, 3.10 Higher derivatives, Related rates, Linear approximations and differentials
8 10/11-15 4.1, 4.2, 4.3 Maximum and minimum values, The Mean Value Theorem, Derivatives and graphs of functions

10/15
Last day to withdraw from the course
9 10/18-22 4.3, T2 , 4.4 Derivatives and graphs of functions, Review, EXAM 2, Limit at infinity, horizontal asymptotes
10 10/25-29 4.5, 4.6, 4.7 Summary of curve sketching, Graphing with calculus and calculators, Optimization problems
11 11/1-5 4.9, 15.3, 4.10, 5.1 Newton's method, Partial derivatives, Antiderivatives, Areas
12 11/8-12 5.1, 5.2, 5.3 Areas and distances, The definite integral, The Fundamental Theorem of Calculus
13 11/15-19 5.3, 5.4 Fundamental Theorem, Indefinite integrals and definite integrals, Review
14 11/22-23 T3 Review, EXAM 3, Thanksgiving Break
15 11/29-12/3 5.5, 6.1 The substitution rule, Area between curves, Review.
  12/10 8:00-9:50 a.m. FINAL EXAMINATION