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Department of Mathematics
Course Outline
Math 30.
Calculus I &n=
bsp;  =
; Fall
2012
Time and Place: =
MWF
11:00 am - 11:50 am, Millikan 218
Instructor:<=
span
style=3D'mso-spacerun:yes'> =
Dr. Adolfo
J. Rumbos
Office:<=
span
style=3D'mso-spacerun:yes'> =
=
Andrew
259
Phone/e-mail:<=
span
style=3D'mso-tab-count:2'> &=
nbsp; ext. 18713 /
Office Hours:<=
span
style=3D'mso-spacerun:yes'> MWF 8:45 am - 9:45 am, or by
appointment
<=
span
style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Times New =
Roman";
mso-fareast-font-family:"MS Mincho"'>Text: =
The Calculus Primer by William L. =
Schaaf;
<=
span
style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Times New =
Roman";
mso-fareast-font-family:"MS Mincho"'>Course Website http://pages.po=
mona.edu/~ajr04747/
Prerequisite:<=
span
style=3D'mso-spacerun:yes'> Placement
Exam
Course
Description. This course is an introducti=
on to
integral and differential Calculus. No previous knowledge of Calculus will =
be
assumed. However, a good work=
ing
knowledge of algebra and elementary functions are essential for a successful
enjoyment of the course. There are three major goals in this course: (1) the
acquisition of a thorough understanding of the concepts and ideas of integr=
al
and differential Calculus; (2) the development of an appreciation for the p=
ower
of Calculus in solving real world problems, and the mastery of several of t=
he
tools from Calculus that are very useful in applications; (3) the improveme=
nt
of formal reasoning and problem solving skills. Various applications will be=
used
to motivate the concepts and as a source of interesting problems. The topics for the course are list=
ed in
the attached tentative schedule of lectures and examinations.
Assigned =
Grading
Policy. Grades will be based on the homewo=
rk,
three 50-minute examinations, plus a comprehensive final examination. The grades will be computed as follows:
&=
nbsp; &nbs=
p; homework &n=
bsp;  =
; &n=
bsp;  =
; &n=
bsp;  =
; 20%
&=
nbsp; &nbs=
p; three 50-minute exams&=
nbsp; &nbs=
p; &=
nbsp; &=
nbsp; 50%
&=
nbsp; &nbs=
p; final examination =
; &n=
bsp;  =
; &n=
bsp;  =
; 30%
Final
Examination.
Time: &=
nbsp; Tuesday,
December 18 &=
nbsp;
9:00 am - 12:00 noon.
Place: =
Millikan
218
Math 30<=
span
style=3D'mso-tab-count:10'> =
&nb=
sp; =
&nb=
sp; =
&nb=
sp; =
&nb=
sp; =
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=
D=
iscontinuous
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<=
span
style=3D'mso-tab-count:1'> &=
nbsp; The tangent line to the graph of a
function
W &nb=
sp; Oct 17<=
span
style=3D'mso-tab-count:1'> &=
nbsp; Approximating functions by linear
functions
F &nb=
sp; Oct 19<=
span
style=3D'mso-tab-count:1'> &=
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<=
span
style=3D'mso-tab-count:10'> =
&nb=
sp; =
&nb=
sp; =
&nb=
sp; =
&nb=
sp; =
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