Syllabus for MAC 2312 -
Calculus and Analytic Geometry 2
Spring, 2002
Instructor:
Prof. Blake Mellor
MHC 165
Phone:
6-8614
E-mail:
bmellor@fau.edu
URL: http://www.fau.edu/~bmellor
Office
Hours: M 2-5, Th 2-4, F
11-12
Class
Meeting: TTh 9:30-10:50, F 10-10:50, MAC
206
Text: Calculus: Single Variable,
Hughes-Hallett, Gleason, et al., John Wiley & Sons, 2002 (Third
Edition)
Required: TI-83 (Plus) Graphing
Calculator
Objective: Integration is the reverse of
differentiation. In Differential
Calculus you learned how to study rates
of change (speeds). In Integral
Calculus you will begin with a rate of change, and learn how to compute total
change. This process is called
integration. The purpose of this
class is to learn the theory and techniques of integration, and its applications
in several areas, including the study of differential equations. We will also study infinite sequences
and series, leading to the Taylor and Fourier series approximations of
functions.
Grading:
Homework/Projects
40%
Midterm 1
15%
Midterm 2
15%
Final
30%
Homework/Projects: There will be homework assignments from
the textbook, specified (tentatively) on the syllabus below. They are mostly selected from the
odd-numbered problems, which have answers provided in the back of the book. These assignments will not be collected; however, some of these
problems will appear (perhaps slightly modified) on the midterms and final
exam. Keeping up with the weekly
homework is the key to success in the class – it is not possible to do it all the night
before the exam!
In addition, there will be
regular homework projects (about every two weeks), which may be done in groups
of up to 4 people. Each group will
turn in a single project, and every member of the group will receive the same
grade. The projects are also listed
(again, subject to change) on the schedule below.
Plagiarism: Each group is expected to work
independently. You may discuss the
projects with other groups, but you must (1) cite any assistance obtained from
another group, a tutor, or a professor (which means cite exactly what you obtained help on) and
(2) write up the solution independently.
This means that, after your discussion with your classmate, etc, you (or
your group) should be able to return to your room and write up the solution without looking at the notes of your
discussion. If you cannot do this,
you do not understand the solution, and the work is not yours. A violation of either of these
conditions is plagiarism, a violation of the Honor Code, and will be dealt with
accordingly.
Exams: The midterms will be 1 hour exams in
class on February 15 and April 5.
The final will be 2 1/2 hours on Thursday, May 2, 7:45 -10:15 a.m. You will be allowed one page of notes
and your calculator. I will provide
a copy of the table of integrals at the back of the book for your
use.
Gateway
Test: Students will have to pass a Gateway
Test of basic integration skills in order to pass the class. The Gateway Test consists of 9
questions, taken online, and may be taken as many times as necessary. A student must get 8 of the 9 questions
correct to pass. The test will be
administered for the first time during class on Thursday, February
14.
Schedule:
|
Day |
Topic |
Reading |
Homework |
|
Tues, Jan 8 |
Professor Mellor out of town |
|
|
|
Thurs, Jan 10 |
Introduction |
Ch. 2-3 |
p. 159 1-52 odd, 55, 65, 69, 75, 77, 81, 83 |
|
Fri, Jan 11 |
Review of Riemann Sums |
Ch. 5 |
p. 252 1, 3, 11, 17, 23, 27, 31, 33, 35, 37 Air Pollution due
1/15 |
|
Tues, Jan 15 |
Antiderivatives Substitution |
Ch. 6, 7.1 |
p. 284 1-29 odd, 39, 45, 49, 51, 61 7.1 1, 5, 9, 13, 17, 21, 25, 29, 33, 41, 45, 49, 53, 57, 61, 71, 73, 75 |
|
Thurs, Jan 17 |
Integration by Parts |
7.2 |
7.2 1, 5, 9, 13, 17, 21, 25, 29, 33, 41, 45, 53 |
|
Fri, Jan 18 |
Table of Integrals |
7.3 |
7.3 1, 7, 13, 19, 25, 31, 37, 39 |
|
Tues, Jan 22 |
Slope Fields |
11.1, 11.2 |
11.1 1, 5, 9, 15 11.2 1, 3, 5, 7, 9 |
|
Thurs, Jan 24 |
Euler's Method |
11.3 |
11.3 1, 3, 5, 7, 9 |
|
Fri, Jan 25 |
Separation of Variables |
11.4 |
11.4 1, 7, 13, 19, 25, 31, 37, 39, 45, 46, 47 Raindrops due
1/29 |
|
Tues, Jan 29 |
Growth and Decay |
11.5 |
11.5 1, 3, 7, 9, 15, 17, 19, 21, 23 |
|
Thurs, Jan 31 |
Applications of Differential Equations |
11.6 |
11.6 1, 3, 5, 7, 13, 15, 17, 21, 23 |
|
Fri, Feb 1 |
Catch up |
|
|
|
Tues, Feb 5 |
More Integration |
7.4 |
7.4 3, 7, 9, 13, 17, 21, 25, 27, 31, 35, 41, 43, 45 |
|
Thurs, Feb 7 |
Approximating Integrals |
7.5, 7.6 |
7.5 1, 3, 5, 7, 9, 11, 13, 19, 23 7.6 1, 3, 5, 7, 9, 11, 12 |
|
Fri, Feb 8 |
Improper Integrals |
7.7 |
7.7 1, 3, 5, 9, 13, 17, 21, 25, 29, 33, 35, 37, 39 World Population Growth due 2/12 |
|
Tues, Feb 12 |
Improper Integrals Comparison Test |
7.7, 7.8 |
7.8 1, 5, 9, 13, 17, 21, 25, 27, 29,
31, 33 |
|
Thurs, Feb 14 |
Gateway Test and Review |
|
|
|
Fri, Feb 15 |
Midterm 1 |
|
|
|
Tues, Feb 19 |
Population Models |
11.7 |
11.7 1, 3, 5, 7, 9, 11, 13, 15 |
|
Thurs, Feb 21 |
Systems of Differential Equations |
11.8 |
11.8 1, 2-10, 11, 13, 15, 17, 18-20, 21, 23 |
|
Fri, Feb 22 |
Catch up |
|
SIR model due 2/26 |
|
Tues, Feb 26 |
Areas and Volumes |
8.1 |
8.1 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 |
|
Thurs, Feb 28 |
Applications to Geometry |
8.2 |
8.2 5, 9, 11, 13, 15, 17, 21, 23, 27, 29, 31, 35 |
|
Fri, Mar 1 |
More Geometry |
8.2 |
|
|
Tues, Mar 5 |
Spring
Break |
|
|
|
Thurs, Mar 7 |
Spring
Break |
|
|
|
Fri, Mar 8 |
Spring Break |
|
|
|
Tues, Mar 12 |
Distributions |
8.6 |
8.6 1, 3, 5, 7, 8, 11, 13, 15, 17, 19 |
|
Thurs, Mar 14 |
Probability |
8.7 |
8.7 1, 3, 5, 7, 9, 11, 13, 15 |
|
Fri, Mar 15 |
Catch up |
|
Tile Design due
3/19 |
|
Tues, Mar 19 |
Geometric Series |
9.1 |
9.1 1, 3, 5, 7, 9, 15, 17, 19, 21, 23, 24, 25, 27 |
|
Thurs, Mar 21 |
Convergence |
9.2 |
9.2 1, 5, 7, 9, 11, 13, 19, 21, 23, 27, 29, 31, 33 |
|
Fri, Mar 22 |
Convergence |
|
|
|
Tues, Mar 26 |
Tests for Convergence |
9.3 |
9.3 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 27, 29, 30, 31 |
|
Thurs, Mar 28 |
Power Series |
9.4 |
9.4 1, 3, 5, 9, 11, 13, 15, 17, 19, 21, 23, 25 |
|
Fri, Mar 29 |
Power Series |
9.4 |
The von Koch
Snowflake due 4/2 |
|
Tues, Apr 2 |
Taylor Polynomials |
10.1 |
10.1 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 |
|
Thurs, Apr 4 |
Review |
|
|
|
Fri, Apr 5 |
Midterm
2 |
|
|
|
Tues, Apr 9 |
Taylor Series |
10.2 |
10.2 1, 5, 11, 15, 19, 21, 24, 25, 27, 31, 35, 37, 39, 41 |
|
Thurs, Apr 11 |
Taylor Series |
10.2 |
|
|
Fri, Apr 12 |
Finding Taylor Series |
10.3 |
10.3 1, 5, 9, 13, 15, 17, 19, 25, 27, 31, 32 |
|
Tues, Apr 16 |
Error in Taylor Approximations |
10.4 |
10.4 1, 3, 5, 7, 10, 11, 15 |
|
Thurs, Apr 18 |
Fourier Series |
10.5 |
10.5 1, 3, 5, 7, 9, 11, 15, 19, 23, 25 |
|
Fri, Apr 19 |
Fourier Series |
|
Fourier Series
and Music due 4/23 |
|
Tues, Apr 23 |
Review |
|
|
|
Thurs, May 2 |
Final
Exam 7:45 a.m. - 10:15 a.m. |
|
|