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Math 30<=
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Fall
2012
Tentative Schedule of Topics,
Presentations and Examinations
Date &=
nbsp; &nbs=
p; Topic
W Sep 5 Introductory
Example: Recovering a function from its rate of change
F &=
nbsp; Sep 7 Recovering a quantity from its rate of change
M &n=
bsp; Sep 10 &=
nbsp; Recovering
a quantity from its rate of change (continued)
W Sep 12 &=
nbsp; Recovering
a quantity from its rate of change (continued)
F &=
nbsp; Sep 14 &=
nbsp; Continuous
compounding and the concept of limit
M &n=
bsp; Sep 17 &=
nbsp; Limit
of sequences
W Sep 19 &=
nbsp; Limit
of functions
F &=
nbsp; Sep 21 &=
nbsp; Limits
(continued)
M &n=
bsp; Sep 24 &=
nbsp; Continuous
functions
W Sep 26 &=
nbsp; Continuous
functions (continued)
F &=
nbsp; Sep 28 &=
nbsp; Discontinuous
functions and types of discontinuity
M &n= bsp; Oct 1 Problems<= o:p>
W Oct 3 Review
F &=
nbsp; Oct 5 Exam<=
/b> 1
M &n=
bsp; Oct 8 The area function
W Oct 10 &=
nbsp; Instantaneous
rates of change
F &=
nbsp; Oct 12 &=
nbsp; Rates
of change (continued)
M =
Oct 15<=
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nbsp; The tangent line to the graph of a
function
W &nb=
sp; Oct 17<=
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nbsp; Approximating functions by linear
functions
F &nb=
sp; Oct 19<=
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nbsp; The derivative
M =
Oct 22&nbs=
p; Fall Recess
W Oct 24 &=
nbsp; The derivative as a rate of change =
F &=
nbsp; Oct 26 &=
nbsp; The concept of differentiability
M &n=
bsp; Oct 29 &=
nbsp; On differentiable functions
W Oct 31 &=
nbsp; Differentiability
F &=
nbsp; Nov 2 Derivatives
of compositions
M &n=
bsp; Nov 5 Review
W Nov 7 Exam 2
F &=
nbsp; Nov 9 Properties
of derivatives
M &n=
bsp; Nov 12 &=
nbsp; Applications
of the derivative
W Nov 14 &=
nbsp; Applications
of the derivative (continued)
F &=
nbsp; Nov 16 &=
nbsp; The
Fundamental Theorem of Calculus
Math 30<=
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Fall
2012
Date &=
nbsp; &nbs=
p; Topic
M &n=
bsp; Nov 19 &=
nbsp; The
Fundamental Theorem of Calculus (continued)
W Nov 21 &=
nbsp; Applications
of the integral calculus
F &=
nbsp; Nov 23 &=
nbsp; Thanksgiving Recess
M &n=
bsp; Nov 26 Applica=
tions
of the integral calculus (continued)
W Nov 28 Predicting growth from rates of change
F &=
nbsp; Nov 30 Predicting growth from rates of change (continued)
M &n=
bsp; Dec 3 &=
nbsp; Problems
W Dec 5 &=
nbsp; Review
F =
Dec 7 &=
nbsp; Exam
3
M &n=
bsp; Dec 10 R=
eview
W Dec 12 R=
eview
T &=
nbsp; Dec 18 Final Examination