Syllabus for Math 135, all sections, Fall 2001

Text: Applied Calculus, 5th Edition, by S.T.Tan

Topics planned to be covered by lecture number (homework assignments listed
elsewhere).
Individual lecturers may make some changes that apply ONLY to their sections.

Lecture #       Topics
    Sections of text

1.   1.1,1.2,1.3,1.4 Precalculus review including straight lines
    [5.1,5.2,12.1,12.2 are also precalculus; maybe review now]
2.   2.1,2.2,2.3 Functions: graphs, algebra, use in math models; limits
3.   2.4         Limits
4.   2.5         One-sided limits and continuity
5.   2.6         The Derivative
6.   3.1,3.2     Differentiation; product, quotient rules
7.   3.3         Chain Rule
8.   3.4,3.5     Marginal functions in economics; higher-order derivatives
9.   3.6         Implicit Differentiation, related rates
*10. This lecture will probably be omitted, due to the cancellation of classes Sept 11-12.
*Special review sessions will be held

*11.  First in-class 80-minute Midterm Exam. Should include 3.6.
*The day and/or content of this exam may be changed. Consult your Lecturer.

12.  3.7         Differentials
13.  4.1+handout Applications of 1st derivative; Rolle's Theorem, MVT
14.  4.2         Applications of 2nd derivative
15.  4.3         Curve sketching
16.  4.4,4.5     Optimization 1, begin Optimization 2
17.  4.5         Optimization 2
18.  5.1,5.2,5.4 Exp. and logs; differentiating exp
19.  5.5         Differentiating logs
20.  12.1,12.2,12.3  Trig functions and their derivatives
21.  5.6         Mathematical models with exp (including logistic equation)

22.  Second in-class 80-minute exam

23.  6.1         Antiderivatives and the rules of integration
24.  6.2         Integration by substitution
25.  6.3         Area and the definite integral
26.  6.4,6.5     Fundamental Theorem of Calculus; evaluating definite integrals
27.  12.4, 5.3   Integration of Trig Functions; compound interest
28.              Catch up and the harder review problems

FINAL EXAM Monday December 17, 4-7 pm (Math Group F). Locations to be
announced.