MATH114-001: ANALYTIC GEOMETRY AND CALCULUS II
FALL 2007
Instructor: Dr. Domenico Napoletani
Phone: to be announced, check web page in the near future
E-mail: dnapolet@gmu.edu
Tel: 703-9934269
Office: Science and Technology I, Room 226E
Office Hours: Monday, Wednesday 2:00pm-3:00pm.
Webpage: http://math.gmu.edu/~dnapolet/math114/
Required Textbook: Thomas' Calculus, Early Transcendentals, Eleventh Edition, Addison-Wesley, 2006.
Topics: The course will cover portions of Chapters 6, 7, 8, 10 and 11 in the text. Exact sections covered are
indicated in the Homework Exercises
Course prerequisites: A grade of C or better in MATH 113.
Recitations: The TA for the class is Andrew Samuelson. Check which recitation class you have been
assigned to. His Office Hours will be posted on the course webpage in the near future.
General Comments:
You are expected to be familiar with some basic concepts of integration theory, specifically the
Fundamental Theorem of Calculus, interpretation of a definite integral as an area, and simple substitution. I
will briefly review this material at the beginning of the semester. Some review exercises from Chapter 5 are
given in the Homework Exercises.
In this course we will make use of the computer algebra system MAPLE, in particular its graphing and
symbolic calculation capabilities. You can run MAPLE from one of the on-campus computer labs in the
Johnson Center and Innovation Hall. Go to http://classtech.gmu.edu/lablocations.cfm for locations and
hours of operation. Be sure to bring a floppy disk or flash drive when you visit these labs in order to save
your work. The course web page contains announcements and useful information for students in this
course. You are responsible for checking the web page periodically so that you will not miss important
information.
Homework. Included with this syllabus is a list of homework exercises for the course. It is strongly
suggested that you attempt the homework in a given section immediately after that section is covered in
class. Homework will not be graded, however, it is vitally important that you do the homework exercises
for each section the same week the section is covered in class. The assigned problems are representative of
the test questions. More challenging problems marked with a “T” are included to motivate some of the
techniques developed in the course, and they will sometimes be covered at the beginning of classes, it is
very important you make a try at them to benefit from the class discussion.
You are encouraged to discuss all homework problems amongst yourselves and to make use of the office
hours. The TA will go through each set of homework questions in the recitation classes and you will only
benefit from this if you have attempted them properly beforehand. Note that the above list of homework
questions is the ABSOLUTE MINIMUM you should be doing each week. All of the odd-numbered
questions in the book have solutions in the back and you should attempt as many of those as you feel you
need to.
Quizzes (10%): Weekly 10 minutes quizzes will be given in the recitation classes, they will account for
10% of the total final grade. Your two lowest quiz grades will be dropped; there will be no makeup quizzes.
Each quiz will comprise two open book questions: one review question and one question similar to the
homework exercises.
MAPLE assignments (10%): Two MAPLE assignments will be given during the semester. They will be
handed out in the recitation classes at the completion of chapter 8 and of section 11.5, and they will be due
two weeks after. You may work in distinct groups of no more than three persons, if you choose to work in
groups, you will need to write on your assignments who you cooperated with. These MAPLE assignments
will count for 10% of the total final grade. No late MAPLE assignments will be accepted under any
circumstances. Specific instructions will be given at the time the assignments are handed out. Information
about MAPLE and assistance with the MAPLE assignments will be provided during recitation sessions.
Exams (40%): Three one-hour exams will be given on Monday October 9th, Monday November 7th
and Wednesday November 28th at the beginning of class. Your best two exams will each contribute
20% toward your final grade. Because one exam is dropped, makeup exams will not be given under any
circumstances. If you miss more than one of the in-class exams, then you will need to provide very welldocumented reasons for missing EACH of them. No book or calculator is allowed during in class exams.
Final Exam (40%): There will be a cumulative final exam given on December 12th. The final exam will
count for 40% of your final grade You are permitted to bring in four 3x5 cards or one 8.5" x 11" sheet of
paper with notes
The grading scale is as follows. There will be no curving in determining the final grade
for the course.
A+: 99 +; A: 92 - 98; A-: 90 - 91;
B+: 88 - 89; B: 82 - 87; B-: 80 - 81;
C+: 78 - 79; C: 72 - 77; C-: 70 - 71;
D: 60 - 69;
F: 0 - 59.
NOTE: No makeup quizzes or exams will be given and no late MAPLE assignments will
be accepted under any circumstances.
All students must abide by the following:
Students must follow the guidelines of the University Honor Code. See
http://www.gmu.edu/catalog/apolicies/#Anchor12 for the full honor code.
Students must agree to abide by the university policy for Responsible Use of
Computing. See http://www.gmu.edu/facstaff/policy/newpolicy/1301gen.html.
Click on responsible Use of Computing Policy at the bottom of the screen.
Students with disabilities who seek accommodations in a course must be registered with
the GMU Disability Resource Center (DRC) and inform the instructor, in writing, at the
beginning of the semester. See http://www.gmu.edu/student/drc/ or call 703-993-2474 to
access the DRC.
Homework Exercises
Section Exercises (odd numbers only)
5.4: (Review) 3-9, 19, 25-27, T69
5.5: (Review) 13-15, 21, 23, 27, 29, 36, 40, 43, 59, 60, 65, T67
5.6: (Review) 17, 29, 33, 47, 53, 55, 63, 67, 85, 87, 99, T111
6.1: 1a, 1d, 3, 5, 9, 13, 15, 19, 21, 27, 37, 41, 45, 49
6.2: 1-11, 17, 19, 23, 25, 29, 31, 35
6.3: 1, 3, 7-17, T34
6.5: 1a, 3a, 5a, 7a, 13, 15, 21, T28
7.1: 1, 3, 9, 11, 13, 15, 17, 21, 25, 27, 37, 39, 47, 49, T67
7.2: 1, 7, 9, 11, 13, 15, 17, 21, 25
7.4: 5-11, 13, 17, 41, 43, 77, T84
8.1: 1, 3, 5, 7, 17, 19, 21, 37, 43, 45, 47, 49, 57, 59, 63, 73
8.2: 1-11, 21, 29
8.3: 5-13, 17-23, 29, 33, 35, 45, T51
8.4: 1, 3, 5, 13-19, 23, 25, 33, 35, T46
8.5: 1-13, 29, 31
8.7: 1-9, T49
8.8: 1-15, 25, 27, 35-39, 47-55, T73a
10.5: 1-7, 11-33, 49-55 (10.1: 1, 9, page 727: T31)
11.1: 1-19, 23-37, 41, 45, 55-59, 75, 81, T89
11.2: 1, 3, 7, 9, 11, 15, 17, 23-31, 45, 51, 53, 73, T77
11.3: 1-11, 17, T33a, T33b
11.4: 1-13, 23, 25, 35, T39
11.5: 1-15, 27, 29, 31, 39
11.6: 1-17, 33, 35, 45, 47, T62
11.7: 1-13, 27, 29, 33, T42
11.8: 1-15, 21, 23, 25, T31
11.9: 1-11, 31, 33, 49, 51, T44
11.10: 1-7, 11, 13