CALCULUS II
Math 1361, Fall 2007
Instructor: Dr. Rachel Hall
Office: 229 Barbelin
Office Hours: M 11-12, T 1:30-3, R 9-10, and by appointment
Telephone: (610) 660-3096 (Office)
E-mail: rhall@sju.edu
Course Description: Calculus is the
crowning achievement of 17th century mathematics. It is the
branch of mathematics used to describe motion, and it has a multitude of
applications in mathematics, the physical sciences, engineering, and the social
and biological sciences. In this semester, we will concentrate on
integral calculus and infinite sequences and series. Goals include understanding some applications of
integrals, being able to recognize and use specific techniques of integration,
determining convergence or divergence of sequences and series, finding limits
of convergent sequences and series, understanding Taylor series, and being able
to use Maple to carry out the techniques discussed.
Prerequisite: Math 1351 or
placement.
Text: James Stewart, Calculus:
Early Transcendentals 5e, fifth edition, Thomson: Brooks/Cole, 2003.
You should read each section before the appropriate lecture, and bring your
textbook to class.
Assignments: Learning
mathematics, like learning to play a musical instrument or becoming a good
athlete, requires LOTS of practice. A college class has less than half the
classroom time of a comparative high school class, so you may have to spend
much more time on calculus outside of class than you are used to. Weekly assignments will be posted on
the course web page. They include online quizzes to be sent to me by
email and paper assignments to be handed in. You should start working on the homework problems for a
section as soon as that section is covered in class. Some assignments
will require the use of Maple; in addition, you may use Maple or a
graphing calculator on all assignments to check your work. Although
you are permitted to work with other students and seek help from me, homework
should ultimately represent your own work. Answers unsupported by work
will not receive credit. You should expect to spend about eight hours a
week working homework problems, reading the text, and going over your class
notes. Although you have the
option of replacing your homework grade with your final exam grade, I do not
recommend that you plan on this.
In my eight years of teaching at SJU, only a handful of my students have
successfully completed a course without doing much homework.
Calculators and Maple: We will make
frequent use of Maple, a computer algebra system that is available for you to
use in and outside of class. Maple has been installed on the computers in
Barbelin 225, Barbelin 221, the computer labs, and in some dormitories. If you already have a graphing
calculator, you may use it on the homework, but a calculator is not
required. Some portions of the
quizzes will require the use of technology, and there will be some questions
that must be done without any technology.
Quizzes and Final Exam: There will
be five quizzes, tentatively scheduled for September 10, October 1, October 22,
November 5, and November 26 (all Mondays). The lowest grade will be
dropped. The final exam will be
cumulative. It will be given on
Monday, December 17, 2-4pm. Makeup quizzes or a makeup final will only be
given to students who contact me by email (rhall@sju.edu)
or phone (610-660-3096) within 48 hours of missing a quiz or exam. Students with a valid, verifiable
reason for missing a quiz or the final may
take a makeup without penalty if they bring a note; if you don’t have a
valid, verifiable reason, you must use your quiz drop (in the case of the
final, you may take a makeup with a 60 point penalty). Valid
excuses include illness, death in the family, or an official university
activity such as an athletic event.
Grades: Grades will be calculated
out of 600 points weighted as follows:
300 points (50%): highest four
quiz grades (each quiz is worth 75 points or 12 1/2%)
100 points (16 2/3%): top 10 homework grades (may be replaced by final exam
grade)
200 points (33 1/3%): final exam grade
The grade cutoffs are 560 A, 540 A-, 520 B+, 500 B, 480 B-, 460 C+, 440 C, 420
C-, 400 D+, 360 D, and below 360 F. Grades may be curved at the end of the
semester.
Academic Honesty: Dishonesty
includes cheating on a test, falsifying data, misrepresenting the work of
others as your own (plagiarism), and helping another student cheat or
plagiarize. At the very least, an academic honesty infraction will result in
the filing of a violation report and a grade of zero on that particular
assignment; serious or repeated infractions of the Academic Honesty policy will
result in failure of the course. For complete information about the University’s
policy on Academic Honesty, consult the Student Handbook 2007-2008.
Attendance: Class attendance is
mandatory. Although I do not have a rigid cut policy, anyone who has
missed lots of classes and is doing poorly in the course should not expect much
sympathy from me. If you do miss a class, it is your responsibility to
obtain the notes and assignments from another student and make sure your
homework is turned in on time. See my Makeup Exam policy to see what to do if
you miss a quiz.
Level of Difficulty: Most students find this course challenging. It requires more work than the typical
freshman/sophomore level math course. Many students find that the hard work
they put into the course pays off in future courses. However, if you have concerns about your placement in the
class, please discuss them with me in the first week of classes.
Students with Disabilities: Students
who have or think they may have a disability (learning, physical, or
psychological) are encouraged to contact Services for Students with
Disabilities, Room 113, Science Center, 610-660-1774 or 610-660-1620 as early
as possible in the semester.
Accommodations can only be provided to a student with current
documentation (within 3 years).
Students are encouraged to discuss their instructional needs and
accommodations (“reasonable academic adjustments”) with their professors early
in the semester. All student
requests for extended time to take quizzes or exams in a distraction free
environment must be discussed with the professor a minimum of one
week prior to the scheduled date of the quiz or exam. The student must
complete the Extended-Time Request Form, obtain the professor’s approval, and
submit the form to the office of Services for Students with Disabilities a
minimum of 3 days prior to the date of the scheduled exam. Failure to follow these procedures
could result in a denial of the request.
Exceptions to exam schedules requires prior written approval of the
professor.
Schedule (subject to change):
|
Weeks 1-2 |
5.5: The substitution rule;
6.1: Areas between curves |
|
September 10 |
First Quiz |
|
Weeks 3-5 |
6.2: Volumes; 6.3: Volumes by cylindrical shells; 6.4:
Work; 7.1: Integration by parts; 7.2: Trigonometric integrals; 7.3:
Trigonometric substitution |
|
October 1 |
Second Quiz |
|
Weeks 6-8 |
7.4: Partial fractions; 7.5: Strategy for integration; 7.6:
Integration using tables and CAS; 7.8: Improper
integrals; Supplementary material on distributions |
|
October 13-16 |
Fall Break |
|
October 17 |
Freshman grades due |
|
October 22 |
Third Quiz |
|
Weeks 9-10 |
|
|
November 2 |
Last Withdraw |
|
November 5 |
Fourth Quiz |
|
Weeks 11-13 |
11.4: The comparison
tests; 11.5: Alternating series; 11.6: Absolute convergence and the ratio and root tests; 11.7: Strategy for testing series |
|
November 21-25 |
Thanksgiving Break |
|
November 26 |
Fifth Quiz |
|
Weeks 14-16 |
11.8: Power series; 11.9: Representations of functions as power series; 11.10: Taylor and Maclaurin series |
|
December 10 |
Last Day of Class |
|
December 17, 2-4pm |
Final Exam |