Professor: Jeff Johannes
Section 5
MWRF 1:30-2:20p Sturges 105
Office:
South 326A
Telephone: 5403 (245-5403)
Office Hours: Monday 2:45- 3:45p, Tuesday 8-9p, Wednesday
10:30-11:20a, Thursday 10:30a-11:30a, 8-9p, and by appointment or visit
Email Address: Johannes@Geneseo.edu
IM:
JohannesOhrs
Web-page:
http://www.geneseo.edu/~johannes
Course Materials
Thomas' Calculus, Thirteenth Edition by Weir and
Hass
Required: TI-89 or TI-nSpire CAS
Calculator
Additional handouts of reading, problems, and activities
will be provided
Purposes
- to develop some fluency and comfort with the techniques of the
calculus in order to use those techniques to solve routine exercises and
nonroutine problems
- to appreciate the cultural significance and consequence of the
calculus
Overview
Calculus is the culmination of high school mathematics
and the entryway to higher level college mathematics. The discovery of
the calculus was a turning point in the history of mathematics and
society. As the mathematics of change, calculus is widely applicable
in all fields of study that have quantifiable change. It is for these
reasons that we will be studying not only how to do calculus, but why
calculus is done the way it is, and why it is done at all.
Reading and Worksheets
Instead of introducing new material in class, I have
written worksheets to introduce the new material. This has the big
advantage that unlike if we would have discussions in class, you can go at
your own pace, you have better notes for the motivations, and this way there
is an opportunity for many more than one of you to give right answers to
questions. In class we will discuss anything that was missed in the
worksheets, extend the material, and then have time for working on
problems.
Learning Outcomes
Upon successful completion of Math 222 - Calculus II, a
student will be able to:
- Define, graph, compute limits of, differentiate, and integrate
transcendental functions,
- Examine various techniques of integration and apply them to definite
and improper integrals,
- Approximate definite integrals using numerical integration techniques
and solve related problems,
- Model physical phenomena using differential equations,
- Define, graph, compute limits of, differentiate, integrate and solve
related problems involving functions represented parametrically or in
polar coordinates,
- Distinguish between the concepts of sequence and series, and determine
limits of sequences and convergence and approximate sums of series, and
- Define, differentiate, and integrate functions represented using power
series expansions, including Taylor series, and solve related problems.
Grading
Your grade in this course will be based upon your
performance on various aspects. The weight assigned to each is
designated below:
Exams:
Reading Quizzes (as needed)
5%
Exam 1
13%
Content Quizzes
(5)
10%
Exam 2
13%
Assignments (7)
35%
Final Exam 25%
Reading Quizzes
You are responsible for reading the handouts before they
are discussed in class. The schedule and links are given below.
Occasionally - as I see it necessary - we will have short (five minute)
reading quizzes to check that the reading is being done. As the class
shows this is not necessary, they will become less frequent. Most will
not be announced. If there are no questions from the handout, there
will definitely be a reading quiz. The reading quizzes may be as
straight forward as - "Write enough to convince me you did the
reading." There will be no makeup reading quizzes.
Content Quizzes
There will be short quizzes as scheduled, covering the
material at the level of the exercises from the homework. Quizzes will
consist of routine questions, and will have limited opportunity for partial
credit. Because quizzes will consist of routine questions, they will be
graded on a decile scale. There will be no makeup quizzes.
Colloquia
Up to two quizzes (of either type) may be replaced with a
perfect score by attending mathematics
department colloquia (or other approved mathematics presentation) and
writing a report. In your report, please explain the main point of the
presentation and include a discussion of how this presentation affected your
views on mathematics. College papers are typed and are not a
paragraph. Papers are due within a classweek of the colloquium
presentation. I will gladly look at papers before they are due to
provide comments. Reports are either good enough or not; there will be
no partial credit.
Assignments
There will be seven assignments. Each assignment
will constitute three odd exercises per
section of your choosing, at most two problems per section of my
designation, and one "further explorations" question of your choosing from a
lab completed since the previous assignment. Assignments are due on
the scheduled dates. You are encouraged to consult with me outside of
class on any questions toward completing the homework. You are also
encouraged to work together on homework assignments, but each must write up
their own well-written solutions. A good rule for this is it is
encouraged to speak to each other about the problem, but you should not read
each other's solutions. A violation of this policy will result in a
zero for the entire assignment and reporting to the Dean of Students for a
violation of academic integrity. I strongly recommend reading the
suggestions on working such problems before beginning the first set.
Each assignment will be counted in the following manner: the odd
exercises will be checked for completeness and will be worth half of the
credit on the assignment. The remaining problems will be scored out of
four points each:
0 – missing question or plagiarised work
1 – question copied
2 – partial question
3 – completed question (with some solution)
4 – completed question correctly and well-written
Each entire problem set will then be graded on a 90-80-70-60% (decile)
scale. Late items will not be accepted. Assignments will be
returned on the following class day along with solutions to the problems
(not to exercises or lab explorations). Because solutions will be
provided, comments will be somewhat limited on individual papers.
Please feel free to discuss any homework with me outside of class or during
review.
Solutions and Plagiarism
There are plenty of places that one can find all kinds of
solutions to problems in this class. Reading them and not referencing
them in your work is plagiarism, and will be reported as an academic
integrity violation. Reading them and referencing them is not quite
plagiarism, but does undermine the intent of the problems. Therefore,
if you reference solutions you will receive 0 points, but you will *not* be
reported for an academic integrity. Simply - please do not read any
solutions for problems in this class.
Lab Activities
We will regularly be spending classes on
activities. Activity descriptions will be distributed in class the day
before the lab. Please come to class prepared for the activity (i.e.
complete the section labeled "Before the Lab" if there is one), but without
having completed it before. We will not use class time to
prepare.
Exams
There will be two exams during the semester and a final
exam during finals week. If you must miss an exam, it is necessary
that you contact me before the exam begins. Exams require that you
show ability to solve unfamiliar problems and to understand and explain
mathematical concepts clearly. The bulk of the exam questions will
involve problem solving and written explanations of mathematical
ideas. The first two exams will be an hour's worth of material that I
will allow two hours to complete. Tentatively they are scheduled for
Thursdays 7 – 9p. The final exam will be half an exam focused on the
final third of the course, and half a cumulative exam. Exams will be
graded on a scale approximately (to be precisely determined by the
content of each individual exam) given by
100 – 80% A
79 – 60% B
59 – 40% C
39 – 20% D
below 20% E
For your interpretive convenience, I will also give you an exam grade
converted into the decile scale. The exams will be challenging and
will require thought and creativity (like the problems). They will not
include filler questions (like the exercises) hence the full usage of the
grading scale.
Feedback
Occasionally you will be given anonymous feedback
forms. Please use them to share any thoughts or concerns for how the
course is running. Remember, the sooner you tell me your concerns, the
more I can do about them. I have also created a web-site
which
accepts anonymous comments. If we have not yet discussed this in
class, please encourage me to create a class code. This site may also
be accessed via our course page on a link
entitled anonymous
feedback. Of course, you are always welcome to approach me
outside of class to discuss these issues as well.
Social Psychology
Wrong answers are important. We as individuals
learn from mistakes, and as a class we learn from mistakes. You may
not enjoy being wrong, but it is valuable to the class as a whole - and to
you personally. We frequently will build correct answers through a
sequence of mistakes. I am more impressed with wrong answers in class
than with correct answers on paper. I may not say this often, but it
is essential and true. Think at all times - do things for
reasons. Your reasons are usually more interesting than your
choices. Be prepared to share your thoughts and ideas. Perhaps
most importantly "No, that's wrong." does not mean that your comment is not
valuable or that you need to censor yourself. Learn from the
experience, and always try
again. Don't give up.
Academic Dishonesty
While working on homework with one another is encouraged,
all write-ups of solutions must be
your own. You are expected to be able to explain any solution you
give me if asked. No credit will be given for solutions from solution
manuals. The Student Academic Dishonesty Policy and Procedures will be
followed should incidents of academic dishonesty occur.
Math Learning Center
This center is located in South Hall 332 and is open
during the day and some evenings. Hours for the center will be announced in
class. The Math Learning Center provides free tutoring on a walk-in basis.
Accommodations
SUNY Geneseo will make reasonable accommodations for
persons with documented physical, emotional, or cognitive
disabilities. Accommodations will be made for medical conditions
related to pregnancy or parenting. Students should contact Dean
Buggie-Hunt in the Office of Disability Services (tbuggieh@geneseo.edu or
585-245-5112) and their faculty to discuss needed accommodations as early as
possible in the semester.
Religious Holidays
It is my policy to give students who miss class because
of observance of religious holidays the opportunity to make up missed
work. You are responsible for notifying me by September 8 of plans to
observe a holiday.
Schedule (subject to change)
August 31 introductions
September 2 review
3 7.1
RQ
4 Lab 15
September 9 7.2
10 Lab 16
11 7.3
14 Lab 10 A1
16 7.5
17 7.6
18 Lab 17 Q
21 8.2
23 8.3
24 8.4
25 8.5
A2
28 techniques review/8.6
30 techniques review/8.6
October 1 Lab 18
2 8.7
Q
5 8.8
7 A3; review
8 review
8 XM1 (7-9p Welles
26)
9 XM discuss
14 XM discuss
15 Lab 22
16 10.8
19 10.1
21 Lab 19
22 10.2
Q
23 Lab 20
26 10.3
28 10.4
29 Lab 21 A4
30 10.5
November 2 10.6
4 10.7
5 Lab 23
6 10.9
Q
November 9 10.10
11 A5; review
12 review
12 XM2 (7 - 9p Welles
26)
13 XM discuss
16 XM discuss
18 7.4
19 Population Project
20 9.1 class demonstration
23 11.1
30 Lab 14 A6
December 2 11.2
3 11.3
4 Lab 24 Q
December 7 11.4
9 11.5
10 review
11 A7 due,
review
14 review
Monday, December 21 12N - 3:20p Final XM
Review at beginning of the semester for Calculus 222:
The most important topics to review from 221 for 222 are differentiation and
integration. While I will assume that you know all of chapters 1-6,
focus your review thoughts on Chapters 3 and 5.
If you want a taste of things, here are some sample questions of review
nature to think about:
p. 176-182
p. 301-307