Professor: Jeff Johannes
Section 1 MWF
Office: South
326A
Telephone: 245-5403
Office Hours: Monday 2:30 - 4p, Tuesday 8-9p (staying as long as
there is interest), Wednesday 2:30 - 4p, Thursday 11:30a-1p, and by
appointment or visit.
Hangouts Link: https://hangouts.google.com/group/3AAZt14PUWoktRFb8
Email Address: Johannes@Geneseo.edu
Web-page:
http://www.geneseo.edu/~johannes
Textbooks
Second Year Calculus, David M. Bressoud (Here are
Chapter 1 and Chapter 3 for
anyone slow to get book access.)
Course Goals
- Discuss the fundamentals of vector calculus from a more advanced
perspective (differential forms, gradient, directional derivative,
divergence, curl, Laplacian, and differential forms)
- Place them in the physical context for which they were initially
developed and learn the story of their creation.
- Read a serious mathematics book from page 1 to page 360 (ok, we'll
skip some of the parts in the middle and the very beginning, but most
importantly we will not skip the end).
Grading
Your grade in this course will be based on problem sets,
three in-class quizams, two take-home exams, and a final examination.
Each of those aspects will be worth 1/4 of your grade and each component of
each aspect will be equally weighted.
Lectures
The lectures in this course will be presented via
uploaded videos. I will post one each MWF around noon. I will
try to keep them close to 50 minutes. The lectures will closely
follow our textbook. Please post questions from lecture and/or
reading to the discussion in Canvas. I will watch closely and answer
for everyone as promptly as possible. As a first step for your
question, I recommend checking out the other resource (if you're
mostly reading the book, watch the associated lecture, and if you're
mostly watching lectures, read the book). I am ready and eager to
help bridge the gap, but I think we all know that this will require extra
effort in this online format.
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 15 February.
Problem sets will consist of questions related to
material presented in the previous two weeks. They will be due two
weeks after assigned. Before these papers are handed in, I
strongly suggest discussing them with me and others outside of class.
I am very generous with feedback about assignments, but for this to
happen, I need you to discuss the work with me. In this class, the
problem sets lag about two weeks behind the in course material. This
should provide ample time for consultation. These problems will be
graded on a ten point decile scale based on completeness, accuracy, and
writing. They will be evaluated as follows:
0 Missing or plagiarised
3 Question copied, nothing written
6 Something written that appears that it was only written
to take up space
7 Substantially incomplete. Something written, but does
not really answer the main questions. Major errors. Very poor writing
8 Mostly complete. maybe a few minor errors
9 Complete, no errors, some personal insight, well-written
10 Wonderful
No late problem sets will be accepted. When this
course is taught in person, we would discuss these problem sets in detail on
the day they are due. In place of what would be students presenting
problems, I will be posting problems from students with names removed.
I will not post two problems from the same student. I will post
exemplary work for all to see how it could be done. In the place of
our discussion of problem set days, there will be days after problem sets
devoted to reading problems of others. Please do this. There
will not be lectures posted on these days.
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.
Quizams
Quizams are like long quizzes or short exams. You
will have 20 minutes to complete them, plus five minutes for
processing. They will focus on computational fluency with material
since the last quizam. They will be administered through Canvas.
You will have a window of 36 hours during which you may complete each
quizam. Quizams will be submitted by scanning your own handwritten
pages and submitting as one .pdf file. I will create a practice quiz
for experience submitting work in .pdf format in timed situations.
Take Home Exams
The take home exams will be more involved than quizams
and less than problem sets. They will be distributed on Fridays and
due on Mondays. You may not consult with any other person, and any
resource other than your notes and your textbook. If you do consult
with other sources, you will be failed in this course and reported to the
Dean of Students for a violation of academic integrity.
Final Examination
You will have a cumulative take-home exam that will be
distributed at the last day of class and due by the end of Saturday of the
final examination period (more involved than the other take home
exams).
Feedback
I have 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. Occasionally I will
ask you to give feedback about particular details in the course using this
website.
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 (105D Erwin) 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 no later than February 15
of plans to observe the holiday.
Resources
Here
are some general campus resources.
And
here are some resources related to the COVID-19 pandemic.
Schedule (subject to change)
Date
Topic
Due
February 1 Introduction, §1.5 Kepler's first
3
§1.5 Gravity
5
1.5 / 3.1
8
3.1
10
3.1
12
3.3
15
3.3
17
3.3
19
4.1 / 4.2
22
4.2
24
4.4
PS 1
26
Read others' problems
March 1 4.4
3
4.6
Quizam 1
(material thru PS1)
5
4.6
8
4.7, 5, 6, 7
10
8.1 / 8.2
PS 2
12
Read others' problems
15
8.2
17
8.4
Take
Home Exam 1 opens (material thru PS2)
19
8.4
THX1
22
8.5
26
10.1
PS 3
29
Read others' problems
31
10.1
April 2 10.2
Quizam 2 (material thru PS3)
5 10.2
7
10.4
9 10.4
PS 4
12
Read others' problems
14
10.6
16
10.6
Take Home
Exam 2 opens (material thru PS4)
19
10.6
THX2
21
10.7
23 10.9
PS 5
26 Read
others' problems
28
11.1
30
11.2
Quizam 3
(material thru PS5)
May 3 11.3
5
11.5
7
review
PS
6
11
Read others' problems
Take-home final opens
Saturday, May 15 11:59p
Take-home final due