Math 142-01 - Calculus II - Fall '11 - Prof. Mark Janeba
| Meetings |
Text | Calculator |
MWF 8:00-9:00
Ford 204 |
Calculus, Single Variable, 5th edition, by
Hughes-Hallett, Gleason, McCallum et al.
ISBN 978-0470-08915-6.
We will review derivatives briefly, then cover chapters 5-8 and parts of 9-11
| A graphing calculator is
required
for this class. Texas
Instruments models are recommended; any of the models TI-82, TI-83,
TI-84, TI-89 should work fine. Note that calculators with
symbolic algebra
capabilities
(e.g. TI-89, TI-92) may not be allowed on exam #2. See me if this
causes a problem, and we'll work out a solution. Casios and
Sharps will require
substantial extra work for you to adapt programs distributed in class. |
Course Content and Goals:
Although we will begin with a brief review of differential calculus,
the core of this semester is integral calculus. We will study:
How integrals compute a quantity (be it an area, a volume, a quantity
of energy, a probability, or something else) by dividing it into many
small parts which are easy to estimate; How the relation of integrals
to derivatives gives us an easy way to compute these quantities exactly;
Many computational methods for evaluating specific integrals, and also
for approximating them when exact values are impractical to compute;
Applications of integrals to many areas chosen from geometry, physics,
economics, and probability. We will also study infinite series,
which sum infinitely many things into a finite result, and some
corresponding applications. Finally, we will make an introductory
investigation of differential equations, which combine both
differential and integral calculus.
Upon
completion of this course, successful students will demonstrate the
ability to make judgments and draw appropriate conclusions based on
quantitative information.
More specifically, students should be able to:
- Recognize and articulate the distinction between the definition
of a definite integral as a sum of many, specific small parts, and the
computation of a definite integral via an antiderivative and the
Fundamental Theorem of Calculus.
- Correctly use basic tools of integration/antidifferentiation, e.g. integration by substitution and integration by parts, as well as integral tables and approximation methods, when they are appropriate and available.
-
Apply definite integrals to compute specific quantities chosen from geometry, physics,
economics, and probability.
- Demonstrate a basic understanding and ability to apply infinite series and differential equations.
Grading:
| Best four out of five (approx) quizzes at 25 points each: |
100 points (approx)
|
| Three one-hour exams at 100 points each: |
300 points |
| Three group projects at 100 points each: |
300 points |
| Comprehensive Final exam: |
200 points |
Webwork (on-line homework)
|
100 points (approx) |
Attendance
|
25 points
|
| Total: |
1025 points (approx)
|
For each graded piece of work, I will post cutoff scores for grades of
A-, B-, C, C-, and D. At the end of the term, if your point total is
more
than the total of the A- cutoffs, your grade will be an A- or better,
and
so on. However, see the note below on grade
adjustments.
Cutoffs
will never be higher than this:
| A- |
B- |
C |
C- |
D |
| 90% |
80% |
70% |
67% |
60% |
... but they are often lower.
- Tentative hour exam dates: To be announced
- The final exam is on Saturday, Dec. 17, from 8-11 a.m.
- For borderline grades, I tend to pay more attention to the final
exam
score.
- At the end of the term, I will consider those students who have
done
unusually
small or unusually large shares of their group's projects and adjust
their grades accordingly.
Exam makeup policy: Exam make-ups or early hour
exams
are given only for verifiable illness or for university-sanctioned
intercollegiate
activities. For collegiate activities, you must see me before
you
leave to arrange a makeup time. In any case, contact me in advance
except
in emergencies.
The final exam time and date are given above, as set by the
University; early finals will not be given. Please make travel
plans accordingly. Really. I mean it. If someone else will be making your travel
plans, it would be wise to notify them immediately of your
committments.
Projects are done
by assigned groups. One paper per group is to be submitted, and a
common
grade is given.
Quizzes & Homework
Quizzes are 15 to 25 minutes long, with
problems that resemble
homework. Quizzes will occur approximately every 2-3 weeks, though the
interval will vary. Exact dates will be announced at least one,
usually two, class meetings in advance.
Homework is assigned daily. Some homework assignments will
be turned in on-line via Webwork;
details to be given later. While Webwork
will check your answers, it will not check your work - you will want to
practice showing work carefully, since that will be required on quizzes
and exams.
Participation & Attendance
It is expected that students make every effort to come to every class
prepared to discuss the assigned homework. Attendance is figured into your participation grade
as follows: There is
no deduction for the first 4 absences. Two points are deducted
for
the 5th and 6th absences, and three points for the 7th absence
and
each subsequent absence. Late arrivals, especially
when repeated, may be counted as an absence. While it is awkward
to include
attendance
in the class grade, my experience shows that it is a helpful incentive
for many students.
Please note that the "dropped" quiz and
the
four absences without deduction are built into
the grading system to allow the students some flexibility and to allow
for the unexpected difficulties in students' lives. Students can
use this flexibility so that an overslept morning, an appointment, a
"personal
day", a day of unpreparedness, or other event will not damage their
grade.
Please be aware, though, that it is the students' choice to use these
days or
save them for unexpected difficulties later in the term; once they are
used up, they are gone.
For example, if a student wishes to "spend" the dropped quiz a
quiz that went poorly early in the term, then there is no remaining
quiz flexibility for oversleeping or personal holidays.
Academic Honesty Expectations
All exams and quizzes are to be taken with books and notes closed
(except
as noted on the exam paper), completely on your own. Anything you can
electronically
store on an ordinary graphing calculator is acceptable unless otherwise
directed, but
written notes are prohibited. Palmtop computers will not be
allowed
in quizzes and exams. Calculators with symbolic algebra
capabilities
(e.g. TI-89, TI-92) may not be allowed on exam #2.
Webwork should be done using your books and notes, but not with answers from other humans.
On written group assignments, you may (and should) discuss the
problem,
methods of approach, examples you have found, and even the solution(s),
with anyone. You may use any source you find useful, but you must
acknowledge
your sources in writing in the assignment. Grading is based
primarily
on the amount of work and thought that students have applied to their
sources
and the extent to which they have demonstrated understanding of them.
Plagiarism is the copying or paraphrasing of any work from another
source
without proper written acknowledgement. You should not see (or
hear)
the written report or report-draft of any student outside your group
until
reports are graded. I will treat any such occurrence as plagiarism. All
group members are responsible for knowing all the sources their group's
members used in making a report. All students involved with plagiarized projects
will receive failing project grades.
In keeping with college policy, plagiarism will be reported to the
dean
(see student handbook). Systematic or organized plagiarism on exams or
quizzes will result in course failure. If you are uncertain about some
aspect of the academic honesty policy, it is your responsibility to get
clarification from the instructor.
Last Modified August 30, 2011.
Prof.
Janeba's Home Page | Send comments or questions to: mjaneba
willamette.edu
Department
of Mathematics | Willamette
University Home Page