Calculus B, Math 120, Spring 2002
Math 119-120 is intended for students planning to enter pre-professional
or biology programs. (It is not intended for students who plan to major
in engineering, physics, mathematics, or most of the chemistry programs.
If you fit one of these categories you should take the Math 125-126 sequence.)
Math 120 is a continuation of Math 119; to be prepared for this course
you must have taken 119 or its equivalent.
The textbook is Single Variable Calculus, Fourth Edition,
by James Stewart. This is the same book that was used for Math 119 in the
Fall, 2001 semester.
You should also purchase the Math 120 Supplement from the Copy Shop
in the basement of LaFortune. Some of the homework exercises come from
the
Supplement, and towards the end of the course we will actually use
the Supplement as a text. Ask for Course Packet no. 58, Course ID Math
120; it costs
about $8.
Yu Chen (chen.41@nd.edu),
Room HHH 235.
Wesley Calvert(calvert.2@nd.edu)
Room HHH 289.
Jennifer Gorsky (gorsky.1@nd.edu)
Room HHH 219.
Julie Bergner (bergner.1@nd.edu)
Room HHH 283.
Mark Buckles (buckles.3@nd.edu)
Room HHH 237.
Keith Jackson (jackson.92@nd.edu)
Room HHH 221.
There will be three one-hour examinations and one final examination;
the dates, times, and rooms are listed below. Each one-hour exam will be
worth 100
points, and will be returned to you at one of the tutorial sessions.
The final exam is a two-hour exam and will be worth 150 points. The final
exam will cover all
the material of the course. There will be a total of 25 points for
the quizzes (which will be given most weeks by the TA's during the tutorial
sessions) and a total
of 25 points for the homework. In all there are 500 possible points
for the semester, and your grade will be based on the number of points
you receive.
Homework will be collected at your tutorial session and returned at
the tutorial session the following week. Usually three assignments will
be due each week;
the specific assignments due in any particular week will depend on
the material covered during the lectures leading up to the tutorial. Because
it may happen that
you have trouble with some homework problems and want another shot
at them after you see the TA, we will accept homework as late as 4:00 of
the day
following the tutorial (Friday for Thursday tutorials, Wednesday for
Tuesday tutorials). If you do not turn your homework in to the TA at the
tutorial, you have
to come to the Mathematics Department and deliver it personally to
the TA's office in CCMB. You should make arrangements with your TA for
doing this.
The main purpose of collecting and returning homework is to let you
know if you are doing the problems correctly. The homework grade is designed
to reward
effort. Each problem is graded either 0 (if the problem is missing
or there is not much evidence of effort) or 1 (for any honest attempt).
The total number of
points on any assignment is simply the number of problems honestly
attempted. All examinations and homework are conducted under the honor
code. While
cooperation in doing homework is permitted (and encouraged), copying
is not. Exams are closed book and are to be done completely by yourself
with no help
from others. Basic graphing calculators (like TI 82/83 and TI 85/86)
are allowed on the exams. No Palmtops or Laptops however! You can
click on this link
for some Useful
information about calculators.
A student who misses an examination will receive zero points for that
exam unless he or she has written permission from the Dean of the First
Year of Studies.
(An excuse is almost certainly not going to be accepted if it is presented
after the exam takes place.) Please be aware that travel plans are not
considered to be a
valid excuse by the Dean of the First Year of Studies.
Exam 1: Tuesday,
February 19, 2002
8:00 AM-9:15AM
Exam 2: Thursday, March 21 , 2002 8:00 AM-9:15AM
Exam 3: Tuesday, April 23, 2002 8:00 AM-9:15AM
Final Exam: Tuesday , May 7, 2002
1:45 PM- 3:45 PM
Each section of the course meets in a special location for the three
one-hour exams which are held during the semester. You should go to these
special rooms
(and not to your usual classroom) at 8AM in order to take these exams.
Here is the list of rooms.
Math120A Neusel Feb.19: LIBR 107. Mar. 21: DBRT 102 Apr. 23: DBRT 155
Math120B Neusel Feb.19: LIBR 107. Mar. 21: DBRT 102 Apr. 23: DBRT 155.
Math120C Kopelevich Feb.19: NIEU 118 Mar. 21: NIEU 118 Apr. 23: DBRT 129
Math120E Wong Feb.19: HAGR 117 Mar. 21: GALV 283 Apr. 23: NIEU 142
Math120F Faybusovich Feb.19: CSC 124 Mar. 21: NIEU 123 Apr. 23: CSC 124
Math120G Connolly
Feb.19: NIEU 123
Mar. 21: DBRT 129
Apr. 23: NIEU 123
The final exam will be held in a location to be announced soon
(everybody in the same place).
The full chart of sections, exam times and rooms provided by the registrar
is here.
Here are links to some sample exams; in fact, these are exams which
were given in the course in previous years. Because the syllabus changes
slightly over
time, the material covered on these exams may not exactly match up
with what we cover on the corresponding exams. The sample exams also have
a slightly
different format from ours. Each of our hour exams will contain 12
multiple-choice questions and four other questions. The final exam will
have 30
multiple-choice questions. The samples are provided as pdf files; you
will need acroread, xpdf, or a similar program or browser plugin to read
them.
Samples of Exam I: Sample 1A , Sample 1B .
Samples of Exam II: Sample 2A , Sample 2B .
Sample of Exam III: Sample 3 .
Samples of Final Exam: Final Sample A , Final Sample B , Final Sample C .
There will be a special review session before each one of the exams.
These will be organized more along the lines of problem sessions; they
give you a
place to go if you have some last-minute questions about the course
material.
Review for Exam I: 7-9 PM, Monday, February 18, DeBartolo 155
Review for Exam II: 7-9 PM, Wednesday, March 20, DeBartolo 155.
Review for Exam III: 7-9 PM, Monday, April 22, DeBartolo 155.
Review for Final Exam: 7-9 PM, Monday, May 6, DeBartolo
155.
In the following table of homework assignments, a designation like
"p. 377" refers to page 377 in the textbook, while "S.p. 8" refers to page
8 in the Math
120 Supplement. This Supplement is on sale in the Copy Shop in the
basement of LaFortune. Remember, ask for Course Packet no. 58, Course ID
Math
120. Each page in the Supplement has a handwritten number in the lower
right-hand corner.
| 1 | Areas between curves | p. 376 #1-8, 20, 21 29, 41 |
| 2 | Volumes | p. 387 #1-4, 7, 11, 19-22, 33, 34, 46, 47, 48 |
| 3 | Volumes by cylindrical shells | p. 392 #1-5, 9-10, 17-18, 21-22, 35, 41, 42 |
| 4 | Work | p. 397 #1, 2, 4, 6, 7, 11, 13, 15, 25, 26 |
| 5 | Average value of a function | p.400 #1, 3, 5, 9, 14-15, 20 |
| 6 | Inverse Functions | p. 414 # 1-12, 25-28, 33-34, 39-40, 43-44. |
| 7 | Exponential functions | S.p. 3 #1-4 |
| p. 425 #7-10 | ||
| 8 | Derivatives of exponentials | p. 425 #21, 23, 25, 33, 35, 37, 38 39, 41, 43,71-74, 81 |
| 9 | Logarithmic functions | S.p. 4 #5-7 |
| p. 433 # 3-8, 9-10, 15 | ||
| 10 | Equations involving logs | p.443, # 31, 33, 34, 35, 38, 47, 48, 69, 70, 72 |
| 11 | Derivatives of logs | p.443 # 1, 3, 7, 9, 11, 13, 15, 25, 29, 33, 35 |
| 12 | More derivatives | p.443, #39, 41, 42, 51, 65, 67, 69, 71, 73, 75, 83 |
| 13 | Inverse trigonometric functions | p. 476 #1, 3, 5, 7, 23, 25, 31, 47, 48, 59, 61, 69 |
| 14 | l'Hospital's rule | p. 493 #5, 7, 9, 11, 13, 15, 17, 39, 40, 47, 84 |
| 15 | Integration by parts | p. 508 #1, 3, 5, 7, 9, 10, 11, 13, 18 |
| 16 | Trignonometric integrals | p. 508 #29, 32, 37, 41; p. 516#1-4 |
| 17 | Trigonometric substitution | p. 522 #1, 5, 7-10, 17, 25 |
| 18 | Partial fractions | p. 532 #1-3, 5-7, 23, 24, 29, 62, 63 |
| 19 | Strategies for integration | p. 538 #1-8 |
| 20 | Arc length | p. 580 #1, 2, 3, 7, 19-22 |
| 21 | The balance point | p. 596 #19, 21-23, 25, 26, 38 |
| 22 | Differential equations | p. 619 #1-6, 9, 12 |
| 23 | Exponential growth and decay | S.p. 4 #9-15 |
| 24 | More exponential growth | p. 644 #3-4, 8-10, 18, 20 |
| 25 | Taylor polynomials | S.p. 19 #1-10 |
| 26 | Taylor coefficients | S.p. 19 #11-16 |
| 27 | Binomial coefficients | S.p. 34 #1-7 |
| 28 | Figuring the odds | S.p. 34 #8-15 |
| 29 | Geometric series | S.p. 44 #1-5 |
| 30 | Linear approximation | S.p. 54 #1-10 |
| 31 | Taylor's theorem | S.p. 54 #11-14 |
| 32 | Power series | S.p. 65 #1, 3-5 |
| 33 | Working with power series | S.p. 65 #2, 6-8 |
The LRC is a part of the First Year of Studies. Among other services,
it offers the Tutoring Program, the Collaborative Learning Program, and
a series of Math Workshops. The purpose of these programs is to assist
the students with their proficiency in Mathematics.
Tutoring Program: Tutoring is available to students whose success in a first year course requires assistance beyond that which can be given by the teacher or staff of the courses. Tutoring sessions for small groups of students are offered in Math 120. These sessions meet once weekly for two hours and will begin Wednesday, January 23, 2002.
Collaborative Learning Program: Small groups of students (4-6) are grouped by course and section, and work on mathematics homework. In the process of talking with each otherand sharing their ideas about the work, they learn more Mathematics and understand it better. Sometimes groups share their ideas with other groups that are working on the same problems. In this way, all the students gain valuable ideas from others. Facilitators, upper class students who have successfully completed the course, are available to encourage problem solving and collaboration among group members, and to help when no one in the group can answer a question. The Math 120 group meets in the main room of the LRC, on Monday and Wednesday from 4:30PM to 6:00PM. The first meeting will be Wednesday, January 23, 2002.
Workshops: Workshops are help sessions which do not require regular attendance. The Math 120 workshop will meet Sundays, from 6:30PM to 8:30PM in PCTR 107, beginning on January 27, 2002.
Sign-up Instructions: For more information, see the Learning Resource Center web site. To sign up for any of the programs, please see Nahid Erfan, Director of the LRC. Note that there is no need to sign up for Workshops.
Attendance Policy: Students are expected to attend all tutoring or collaborative learning sessions (but not all workshops). If unable to attend a session, call the LRC at 631-5294 in order to obtain an excused absence. Two absences may result in dismissal and readmission cannot be guaranteed.