The textbook is: Calculus, 3rd edition, by Strauss, Bradley and Smith, published by Prentice Hall.
This course requires a graphing calculator. Graphing calculators may be used on the final exam and on the midterm exams. However, calculators with QWERTY keypads or symbolic manipulation capabilities may not be used on any exam. This means that the TI-89 and the TI-92 calculators may not be used on any exam.
We plan to cover the topics listed below. Individual lecturers might make some changes that apply ONLY to their sections. The homework problems are given elsewhere.
LECTURE SECTIONS DESCRIPTION
1 1.1, 1.2 Precalculus Review: Real line, coordinate plane,
distance, circles, straight lines.
2 1.3, 1.1 Precalculus Review: Functions, graphs.
Trig review: Radians, definition of trig functions,
graphs of sin, cos, tan, sec.
3 2.1, 2.2 Limits: Definition and discussion of intuitive meaning.
Rules for limits, computing limits of algebraic functions.
One sided limits, squeeze theorem, limits for trig
functions, infinite limits.
4 2.2 Topics of lecture 3, continued.
5 2.3 Continuity, intermediate value theorem, finding roots.
6 2.4 Exponentials and logarithms: Definition of e,
properties and inverse relation of exp and ln.
Compound interest, future value, exponential
population growth.
7 3.1 Definition of the derivative: Direct calculation of
derivatives.
Relation between the graph of f and the graph of f'.
Continuity and differentiability.
8 3.2, 3.3 Calculation: Sum, product and quotient rules.
Higher order derivatives.
Differentiation of exponential and trig functions.
9 3.4 The derivative as a rate of change. Velocity and acceleration.
10 Catch up and review.
11 FIRST IN-CLASS 80-MINUTE EXAM.
12 3.5 Chain rule.
13 3.6 Implicit differentiation.
Derivatives of log and exp to other bases.
Derivative of log(|u|).
14 3.7 Related rates.
15 3.8 Linear approximation. Differentials.
Error and relative error of measurement.
Marginal analysis.
16 4.1 Optimization of a continuous function on a bounded interval.
17 4.2, 4.3 Mean value theorem. First and second derivative analysis
and curve sketching.
18 4.3 Topics of lecture 17, continued.
19 4.4, 4.5 Limits as x approaches plus or minus infinity.
Horizontal asymptotes, L'Hopitals's rule.
20 4.6 Optimization applications: Physical problems.
21 Catch up and review.
22 SECOND IN-CLASS 80-MINUTE EXAM.
23 4.7 Optimization applications: Marginal analysis and profit
maximization, inventory problems, physiology problems.
24 5.1 Antiderivatives.
25 5.2, 5.3 Riemann sums and the definition of definite integrals.
26 5.4 Fundamental theorems of calculus.
27 5.5 Substitution method for both indefinite and definite
integrals.
28 Catch up and review.
The final exam will be given on May 6, 2004 from 4 to 7 pm.
The location of the final exam will be announced later.