MATH 241, Section F1H: Calculus III Honors
Spring 2020, MTWR 2:00  2:50 pm, 143 Henry
Prof. AJ Hildebrand
www.math.illinois.edu/~ajh/241
LATEST UPDATES
UPDATE 3/21/2020: Here is some more information about what I plan
to implement the online instruction:
 Course site: For the remainder of the semester,
a Moodle course site
will serve as a repository for all course
materials. The site will be live by Monday, March 23. Most of you
are probably familiar with Moodle from other classes; once the site is
live, it will show up in your list of courses when you log in
to learn.illinois.edu. There is no need to register or set up an
account; every student registered for this class will have access to the
Moodle site. If you are unable to access (and log into)
learn.illinois.edu from where you will be in the coming weeks, let me
know, and I'll try to come up with alternate arrangements.
 Lectures and lecture materials.
Following recent guidelines issued by campus administration and
recommendation from NetMath, the course will be conducted entirely
asynchronously, i.e., there will be no set class meeting times.
Instead I will post daily lecture slides (corresponding
roughly to what I would present on the blackboard in a regular class
period) at Moodle. You can then download/view these materials at a time
that is most convenient for you. This should help those who will be in
a different timezone the rest of the semester or who have other
commitments at the regular class periods.
 Office hours.
I will be available via Zoom Monday  Thursday at the regular 2:002:50
pm class periods. I would also be happy to arrange Zoom meetings at
other times (e.g., evenings) for those who cannot make the 2 pm times;
just let me know by email (ajh@illinois.edu).
 Homework assignments.
Written (paper/pencil) assignments will be collected electronically at
Moodle: That is, you write up your assignment with paper and pen/pencil
as usual, then scan the assignment into a pdf file (there are apps for
doing this, such as Scannable), and
upload the file to Moodle.
Given the circumstances, all homework deadlines will be very
flexible. If you need extra time, just let me know, and I'll give you an
extension without penalty. I have already pushed off the deadlines for
Homework 8 and Honors HW 3 further to Sunday, March 29.
 Exams.
I don't plan on giving any further quizzes. Whether and how the two
remaining scheduled exams (Midterm 3 and the Final Exam) will be
given is very much uncertain and depends largely on decisions by the
campus administration in the coming days and weeks. Even if the
exams have to be given, I plan to make them as lowstress as possible,
with generous time, and conducted asynchronously. Bottomline: Don't
worry about the exams!
Quick Links
Welcome to Math 241 F1H! This course is an honors version of Math 241,
our standard third semester calculus course. We will cover roughly the
same material as the regular Math 241 sections, but in greater depth, and
we will also explore selected additional topics.
As an honors course, this course is more challenging, more laborintensive,
but also intellectually more rewarding, than the standard version of Math 241.
It requires a significant commitment of time and effort, and you have to
be willing and able to make such a commitment. If you are curious about
what goes on behind the scenes and why a particular formula or recipe
works, if you are not intimidated by occasional excursions into
ndimensional space and more abstract topics, and if you want to get
challenged beyond the routine and experience the satisfaction you get
from solving such challenges, this course is for you. Be sure to read
the separate page, Math 241 F1H Honors
FAQ, which has more information about the "honors" character of this
course and should help you decide whether this course is right for you.
I look forward to working with you in the coming semester, and I will do my
best to make this course an interesting, enjoyable, and intellectually
stimulating, learning experience. Below is some basic information about
this course. If you have any questions, concerns, or suggestions, feel
free to contact me (email ajh@illinois.edu).
Hope you enjoy the class and have a wonderful semester!
 Date/time/room: : MTWR 2:00  2:50, 143 Henry
Administration Building.
 Instructor contact and office hours : A.J. Hildebrand,
ajh@illinois.edu, phone 2172447721, office 13 Illini Hall.
When sending email, please include the string
"Math 241" in the subject line. For office hours I will be available
daily during the hour immediately after class, in the regular classroom,
143 Henry, or in one of the adjacent rooms in case 143 Henry is not
available.
 Text/Syllabus: Stewart, Calculus, Early Transcendentals,
8th Edition. This is the standard
text used for the entire Math 221/231/241 calculus sequence:
We will cover Chapters 12  16 from the Stewart text, supplemented by
occasional honorslevel extra topics for which I will provide handouts.
You can purchase a package that includes an electronic version of the text
and the Student Solution Manual, as well as access to the
WebAssign online homework system (which you'll also need)
at the following link:
http://go.illinois.edu/calculus.
All midterm exams will be given during the regular class time.

Midterm Exam 1: Wednesday, Feb. 19, 2020.

Midterm Exam 2: Wednesday, March 11, 2020.

Midterm Exam 3: Wednesday, April 22/23, 2020.

Final Exam:
Wednesday, May 13/14.
 Sample exams.
Links to sample midterm exams from past Math 241 Honors classes. These
should give you a good idea of the number of problems, and the type and
level of problems to expect.

Add/drop deadlines: February 3 and March 13.
February 3 is the last day on which you can add a course; if you want to
switch to a nonhonors section, you have to do so by that date since a
section switch involves dropping one course and adding another.
March 13 is the campus deadline for dropping a course.
 Grading summary:
Your grade will be determined by the points you have accumulated
at the end of the course. The approximate breakdown
(out of 650 points) is as follows:

FINAL EXAM: 150 points The Final Exam will be given at the
official final exam time slot for this class, Wednesday, May 13,
2020, 8 am  11 am.

MIDTERM EXAMS: 250 points. Three midterms, each worth 100 points,
but the lowest midterm score will count only 50%; that is, the lowest half
of a midterm will be dropped.

QUIZZES: 50 points. About once a week I will give a short quiz
with one or two questions on something that came up in class or in the
homework during the past few class periods. The lowest quiz score will
be dropped.

REGULAR HOMEWORK: 125 points.
Weekly paper/pencil assignments, and weekly online
assignments through WebAssign. The two lowest homework scores will be
dropped.

HONORS HOMEWORK: 75 points.
In addition to the regular homework assignments, there will be five
Honors Homework assignment sets consisting of more challenging honors
level problems. There will be no drop scores among the honors
assignments, but the assignments will have generous deadlines (at least
two weeks for each assignment). Group work on the Honors Homework is not
allowed; each student must work on the assignment independently.
Letter grade assignments: Letter grades will be based on the
total number of points earned at the end of the semester, using the
standard 90/80/70/60 scale (96% = A+, 93% = A, 90% = A, etc.), with
possibly some adjustments downward (resulting in a more generous curve)
depending on the overall score distribution in the class. For example,
if you end up with 585 out of 650 points (i.e., 90%), you are
guaranteed at least an A; 520/650 points will guarantee at least
a B; and so on. The actual cutoffs will likely end up being be more
generous, i.e., more favorable to you!

Group work policy:
Group work on the regular homework (but not on the honors
homework) is fine and indeed encouraged, provide you write up
the solutions yourself, using your own words.

Missed exams/homework:
If you miss an exam (or quiz, or homework) and have a valid excuse, I
will mark the exam/homework as "excused". Valid excuses include illness,
an outoftown job interview, etc., and must be appropriately documented,
e.g., by an absence letter issued by the Office of the Dean of Students,
300 Turner Student Services Building, 610 East John Street. For more
information click on the above link.

Calculator policy:
Calculators are not allowed in exams; the exam problems will be
written such that they do not require a calculator; calculators would be
a hindrance and distraction, and completely useless.
You do not need to bring a calculator to class. (I don't carry a
calculator with me either.)

Attendance. I expect you to attend class. Skipping classes shows
a lack of commitment and disrespect. The same goes for chatting,
texting, or websurfing during classtime. I take my duties as instructor
seriously and put a lot of effort into preparing lectures, and I expect
students to be respectful of this effort.
Remember this is an honors class, aimed at the best and brightest
students. With it come many benefits, but also high expectations
on the students. I will do my best to make this class an interesting,
stimulating, challenging, and rewarding learning experience. In return, I
expect you to conduct yourself in a manner worthy of an honors student.
In particular, you must:

Commit a significant amount of time to this class.
This class requires a significant time commitment  more than a regular
Math 241 section, and probably more than any of the other classes you will
be taking this semester. You should plan on spending at least ten hours
per week outside the classroom in studying, reviewing class notes,
preparing for the next class, and working on assignments. If you are not
able to make such a commitment, you should consider another class.

Attend class. I expect you to attend class. Skipping classes shows a lack
of commitment and disrespect. The same goes for chatting, texting, or websurfing
during classtime. I take my duties as instructor seriously and put a lot of
effort into preparing lectures, and I expect students to be respectful of this
effort. While in large lecture sections you may get away skipping the lectures
without anyone noticing, in small honors classes, absences do get noticed. (If
you have to miss a class for a legitimate reasons such as illness, send me an
email so that I know why you are not there.)

Take studying seriously.
Set aside regular times for studying, reviewing your class notes, and
doing any assigned reading. I will frequently assign sections from the
text that you should study on your own. These reading assignments
complement the lectures, and doing them is necessary to keep up with the
pace of the course.

Be intellectually honest. This means that you should not cheat on
exams, and you should do the homework assignments on your own, without
any outside help, and without consulting books and online sources, unless
group work or other assistance is explicitly permitted. If you try to find the
solution to a homework problem by googling, you are being dishonest, you
are doing yourself a disservice, and you are missing out on an opportunity
to learn something by trying the problem on your own.

Be intellectually curious. This class covers all of core material
of Calc III, and it provides a working knowledge of the key concepts,
results, and techniques needed for applications, but it goes
beyond that by developing some of the underlying theory and showing why
things work and why formulas are the way they are. One of the highlights
will be a neat theory that ties together the key integral theorems in Calc
III and the Fundamental Theorem of Calculus from Calc I, and shows that
all of these theorems are special cases of a single theorem of remarkably
simple form. To appreciate this, you must have a genuine
interest in learning for learning's sake and the intellectual curiosity to
want to know the "why's" and behindthescenes stuff, even if it is
not going to be on any test (as is the case with much of the foundational
material).

Be open to some level of abstractness.
We will be doing some formal proofs, introduce abstract definitions, and
often work in more abstract settings such as that of an ndimensional
space. You must be open to such a more abstract way of doing mathematics.
If you hate proofs, or are afraid of epsilons and deltas, this class is
not for you.
Course Web Page
The web page for this course is
https://faculty.math.illinois.edu/~ajh/241.
I will post here announcements, and a class diary with homework assignments
and a brief summary of what I did in class. You should bookmark this
page and check it on a regular basis.
Last modified Tue 05 May 2020 01:40:52 PM CDT
A.J. Hildebrand