MATH 241, Section HL1: Calculus III Honors
Prof. AJ Hildebrand
https://faculty.math.illinois.edu/~ajh/241
Quick Links
Welcome to Math 241 HL1! This is an honors section of Math 241 (Calculus
III). 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. The course will be fully in person.
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 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. If you have any questions, concerns, or
suggestions, feel free to reach out to me (email ajh@illinois.edu, put
"Math 241" in the subject line).
Hope you enjoy the class and have a wonderful semester!
 Date/time/room::
Note that this class is fully in person, and attendance at both the
lectures and discussions is expected.
 Lectures: MWF 1:00 pm  1:50 pm, 1404 Siebel
 Discussion sections:
 Section HD1: TR 11:00 am  11:50 am, 108 David Kinley Hall.
TA: Debmalya Basak, dbasak2@illinois.edu
 Section HD2: TR 12:00 am  12:50 am, 212 David Kinley Hall.
TA: Debmalya Basak, dbasak2@illinois.edu
 Section HD3: TR 1:00 pm  1:50 pm, 429 Armory
TA: Ryan McConnell, ryanm12@illinois.edu
 Section HD4: TR 2:00 pm  2:50 pm, 329 Armory
TA: Ryan McConnell, ryanm12@illinois.edu
 Instructor contact and office hours: Prof. AJ Hildebrand.
email ajh@illinois.edu.
When sending me email, please include the string "Math 241" in the subject
line.
 Instructor office hours:
I will hold regular office hours MWF 11:00 am  11:50 am in 1131 Siebel
(on the main floor, near the northwest corner of Siebel Center) beginning
Aug. 25.
In addition, I am (usually) available during the hour right after the MWF
lectures, so if you want to discuss something with me, just get a hold of
me at the end of the lecture.
 Text/Syllabus:
We will use the same text ("Calculus, Early Transcendentals" by James
Stewart, 8th Edition) and the same online homework system (WebAssign)
as the regular Math 241 sections. You can purchase an eBook version of the
text and the homework system in a single economical package; see
http://go.illinois.edu/CalculusBookInfo for details.
We will cover Chapters 12  16 from the Stewart text, supplemented by
several honorslevel extra topics for which I will provide handouts.
Please note that all exams will be in paper and pencil format
and will be handgraded; we will NOT use computergraded exam/quiz
systems such as CBTF.
Midterms will be given in class, during the regular 1:00 pm  1:50 pm
lecture hours; tentative exam dates are listed below.
The final exam will be
comprehensive and given at the official final exam slot reserved for our class.

Midterm Exam 1: Wednesday, Sept. 22, 2021,
1:00 pm  1:50 pm, 1404 Siebel.

Midterm Exam 2: Wednesday, Oct. 13, 2021.
1:00 pm  1:50 pm, 1404 Siebel.

Midterm Exam 3: Wednesday, Nov. 17, 2021.
1:00 pm  1:50 pm, 1404 Siebel.

Final Exam: Tuesday, Dec. 14, 8:00 am  11:00 am,
1404 Siebel.
 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, Tuesday, Dec. 14,
2021, 8 am  11 am, 1404 Siebel.

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. In most weeks (except for the first week of
class and exam weeks) there will be a short (510
minute) quiz, given during the Tuesday discussion section. The quiz will
have 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. Each week (except for the first week
of class) there will be an online homework assignment to be submitted
through WebAssign, and a paper/pencil assignment, to be turned in at the Thursday
discussion sections. Group work is allowed on these assignments.
The two lowest homework scores among these assignments 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 may end up being 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. This class is fully in person, and attendance at both
the lectures and the discussions is expected. 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.

Accommodations.
To obtain disabilityrelated academic adjustments and/or auxiliary aids,
students with disabilities must contact the course instructor and the
Disability Resources and Educational Services (DRES) as soon as possible.
To contact DRES, you may visit 1207 S. Oak St., Champaign, call 3331970,
email disability@illinois.edu or go to the
DRES website.
If you require DRES accommodation (such as extended time) for exams,
please email your accommodation letter to me (ajh@illinois.edu) at least
one week before the first exam.

Covid19 Protocols.
Please observe the University's
Covid19 Protocols. In particular, face coverings must be worn in
all university indoor spaces.
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.
Last modified Sun 24 Oct 2021 11:34:26 AM CDT
A.J. Hildebrand