Professor: Jeff Johannes
Section 1
MTWF 9:30-10:20a Sturges 113
Office:
South 326A
Telephone: 5403 (245-5403)
Office Hours: Monday 3-4p, Wednesday 4-5p, Thursday 12N-1p,
8-9p, Friday 1-2p, and by appointment or visit
Email Address: Johannes@Geneseo.edu
Web-page:
http://www.geneseo.edu/~johannes
Course Materials
Thomas' Calculus, Twelfth Edition by Weir and Hass
Required: TI-89 (or higher) or TI-nSpire
Calculator
Additional handouts of 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.
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:
Assignments: (5% each, complete 10)
Exam 1
13%
Problem Sets (5) 25%
Exam 2
13%
More (2)
10%
Final Exam 25%
Lab Writeups
(3) 15%
More may include extra problem sets, papers, or lab
writeups.
Exercises
With each day of lecture, I will suggest several
exercises that are relevant for practising from that day's lesson. I
will not grade these exercises, but will gladly discuss or look at
them.
Problem Sets
There will be five pairs of problem sets distributed
throughout the semester. You must complete one of each
pair. Problem sets 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 question
will be counted in the following manner:
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. Problem sets will be
returned on the following class day along with solutions to the
problems. 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.
Laboratory Activities and Writeups
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. I strongly recommend reading the suggestions on writing lab
writeups before submitting one. Lab writeups may be turned in no more
than three class days after the lab activity.
Reports
After attending a mathematics
department colloquium (or other approved mathematics presentation) you
may write 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.
A – Well written, answers the
questions, and is interesting and insightful
B – Well written and answers the
questions
C – Well written or answers the
questions (convinces the reader that you were there)
D – attempted
Papers are due within a classweek of the colloquium presentation. I
will gladly look at papers before they are due to provide comments.
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 a
Thursday and a Monday at 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.
Disability Accommodations
SUNY Geneseo will make reasonable accommodations for
persons with documented physical, emotional or learning disabilities.
Students should consult with the Director in the Office of Disability
Services (Tabitha Buggie-Hunt, 105D Erwin, tbuggieh@geneseo.edu) and their
individual faculty regarding any 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 10 of plans to
observe a holiday.
Schedule (subject to change)
August 27 introductions
28 review
29 7.1
31 Lab 15
September 4 7.2
5 Lab 16
7 7.3
10 Lab 10
11 7.5
12 7.6
14 Problem Set 1 due; Lab
17
17 8.1
18 8.2
19 8.3
21 8.4
24 8.5
25 Lab 18
26 8.6
28 8.7
October 1 review
2 Problem Set 2 due;
review
3 review
4 XM1 (7-9p Welles 140)
5 XM discuss
10 XM discuss
12 10.1
15 Lab 19
16 10.2
17 Lab 20
19 10.3
22 10.4
23 Lab 21
24 10.5
26 Problem Set 3
due, 10.6
29 10.7
30 Lab 22
31 10.8
November 2 Lab 23
5 10.9
6 review
7 10.10
9 Problem Set 4 due,
review
12 review
12 XM2 (7 - 9p Welles
140)
13 XM discuss
14 7.5
16 XM discuss
19 9.1
20 Population Project
26 11.1
27 Lab 14
28 11.2
30 11.3
December 3 Lab 24
4 11.4
5 11.5
7 Problem Set 5 due,
review
10 review
Monday, December 17 8 - 11a Final XM
Assignments 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.
Opening day exercises (remember exercises are not graded)
If you want a taste of things, here are some sample questions of review
nature to think about:
p. 176-182
p. 301-307
For Friday, September 14
Read “Suggestions to the Students” first
required to complete at least one of two options:
Problem Set 1A
Problem Set 1B