Professor: Jeff
Johannes
Section 1 MWRF 10:30a-11:20a
Fraser 116
Office:
South 326A
Telephone: 5403 (245-5403)
Office Hours: Monday 3:30 - 4:30p South 336, Tuesday
4:00 - 5:00p South 336, Wednesday 1:00 - 2:00p Welles 131, Thursday
8:00 - 9:00p South 336, Friday 12:00 - 1:00p South 338, and by
appointment or visit
Email Address: Johannes@Geneseo.edu
Web-page: http://www.geneseo.edu/~johannes
Course Materials
Math
222 Calculus 2adapted from Strang & Herman, Open
Staxx Technology: TI-89 or TI-nSpire CAS
Calculator permitted always,
I'm going to try recommending this "calculus
calculator" for in class work: https://www.symbolab.com/solver/calculus-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:
Examine various techniques of integration and apply them to
definite and improper integrals,
Solve
problems in a range of mathematical applications using the
integral.
Model and solve 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.
SUNY Competency in Critical Thinking
Students will be able to:
clearly articulate an
issue or problem;
identify,
analyze, and evaluate ideas, data, and arguments as they occur
in their own and others' work;
acknowledge limitations
such as perspective and bias; and
develop well-reasoned
(logical) arguments to form judgments and/or to draw
conclusions.
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 worksheets
before they are discussed in class. The schedule and links are
given below. Occasionally - as I see it necessary - we will
have short (two 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 worksheet, 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.
Points
lost on quizzes (both types) may be re-earned by finding errors in
the textbook (there are many - both mathematical and writing) as
follows: The first student who notifies me via email of an
error in the section for the next class period will receive one
lost point back on a previous reading quiz. This does not
apply to errors in the worksheets. I will happily take
those, but will not give credit for them. There is a page here for errata
so far.
There will be seven assignments. Each
assignment will constitute three exercises per section with answers in the text 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
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.
Up to two complete (all items submitted)
assignments 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.
Opening Meeting
Students
will earn two extra points on the first problem set by visiting
office hours during the first two weeks of classes, i.e. no later
than 9 September.
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 with one another is encouraged, all
write-ups of assignments must be your own. You are expected to be
able to explain any solution you give me if asked. Assignments and
exams will be done individually. The Student Academic Dishonesty
Policy and Procedures will be followed should incidents of academic
dishonesty occur. Any work written, developed, or created, in
whole or in part, by generative artificial intelligence (AI) is
considered plagiarism and will not be tolerated. While the
ever-changing developments with AI will find their place in our
workforces and personal lives, in the realm of education and
learning, this kind of technology does not help us achieve our
educational goals. The use of AI prevents the opportunity to learn
from our experiences and from each other, to play with our creative
freedoms, to problem-solve, and to contribute our ideas in authentic
ways. Geneseo is a place for learning, and this class is
specifically a space for learning how to advance our thinking and
professional practice. AI cannot do that learning for us.
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.
Accessibility Accommodations SUNY Geneseo is
dedicated to providing an equitable and inclusive educational
experience for all students. The Office of Accessibility (OAS) will
coordinate reasonable accommodations for persons with disabilities
to ensure equal access to academic programs, activities, and
services at Geneseo. Students with approved accommodations may
submit asemester
requestto
renew their academic accommodations. Please visit the OAS website
for information on the process forrequesting
academic accommodations. Contact the OAS by email, phone, or in-person:
Office of Accessibility Services
Erwin Hall 22 585-245-5112access@geneseo.edu
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 26 introductions
28 review
(Chapter 0 and differentiation, and limits)
29 Review Lab 15, 0.6 RQ
30 Review Lab 10, old
Friday, December 13 3:30 - 6:50p Final XM in Welles 121
Review at beginning of the semester for Calculus 222:
The most important topics to review from 221 for 222 are
differentiation and integration, including all functions (logs,
exponential, trigonometry, inverse-trigonometry). Also some
limits, mostly to infinity. Looking over Chapter 0 would be a
good start. But, do also think about differentiation.