Calculus I - Mathematics 141, Sections 5, 6, 9, and 10
Frank Thorne - Fall 2015
University of South Carolina
Welcome to Math 141! Calculus is a beautiful, important, challenging, and fascinating subject.
Instructional Staff :
- Instructor: Frank Thorne, LeConte 417O, thorne [at] math.sc.edu.
Office Hours: Tue/Wed 4:00-5:00, Thur. 11:15-12:15.
(Note: I might have to reschedule these for meetings and such)
- Teaching Assistants:
Aditya Harish, LeConte 123B, gundaboa [at] email.sc.edu (Sections 5/6).
Maria Markovich, LeConte 104, mariaem [at] math.sc.edu
The TAs will hold discussion sections and
office hours and grade the homeworks. Their job is to help you get through the course.
Office Hours: Mon 2:00-4:00, Fri 2:00-3:00 (Harish), Tue/Thur 2:05-3:35 and by appointment
- Supplemental Instructor: Corey Harmon, ctharmon [at] email.sc.edu.
The supplemental instructor is an undergraduate who has done very well in Math 141 in the past.
He will attend all the lectures and is here to help.
In place of office hours he holds SI sessions (dates and times to be announced) that you can go to.
Successful students will:
This could describe any math class. Typically, all of this is best learned in some specific context. Therefore,
successful students will also:
- Have ample opportunities to practice and use algebra and trigonometry, further increasing their skills in these areas. Algebra
is an absolute prerequisite for calculus, but at the same time the course will be directed towards students whose algebra skills may
be slightly rusty and in need of practice.
- Understand quantitative data and its presentation. In calculus, this usually takes the shape of a
function. Functions will be presented in terms of equations, or in terms of graphs,
or in English text, and students will be required to seamlessly translate between these.
- Develop the ability to explain their work clearly. As with the previous bullet point, this
will involve a combination of equations, graphs, and English text. Students are expected to learn to write well.
- Understand what definitions and theorems are. The student will be able to give precise definitions
as well as informal explanations and will be able to explain the correspondence.
- Tackle problems that require more than one step to solve, or whose solution is not obvious. Typically this means that you try
something, and if it doesn't work you try something else.
Master concepts and problems involving limits, derivatives, integrals, and applications of all of the above.
Warning. There is a ton of homework. It will be collected and graded. That is because this is the most effective way for you
to learn. But:
This class has
a 12-point curve (i.e. A=88, B=76, etc.) as opposed to the usual ten point curve. My standards are high and so I think it is fair
that you should have more wiggle room.
All of the assignments for this course, including a complete list of questions that may
show up on the exams, are posted below. So everything is completely predictable, and you can look before you leap.
My goal is that you will earn the highest grades of any 141 class. To that end, I've made my expectations
very clear -- the standards are high, but you can meet them and it is my job to help you.
If the numerical average on any midterm exam is at least 76%, then we will have a pizza lunch (in class) the day I hand back the exams.
Thomas, Calculus, Early Transcendentals, 13th edition. (Note that this has changed from last year.)
The book is available for $141.15 from the campus bookstore; although high, this price represents a substantial
discount which our department negotiated with the publisher. The book is bundled with access to MyMathLab, which
will not be used in this section of 141. (It may be used in 142 and/or 241, depending on which sections you take.)
The book is not a "custom edition", and you are also welcome to obtain the book elsewhere if you can find it.
I also highly recommend
Calculus Made Easy by Silvanus Thompson.
If nothing else, read the epilogue on p. 283.
Meeting schedule :
The 10:50 and 12:00 lectures are interchangeable; if you cannot make your lecture on a given day,
please attend the other one.
- Lectures (Sections 5/6): MWF, 10:50-11:40, LC 412.
- Lectures (Sections 9/10): MWF, 12:00-12:50, LC 412.
- Maple Lab: (Depends on your section.)
- Recitation: (Depends on your section.)
Exam schedule :
All exams will be held in the usual classroom (LC 412), during class meetings (except for the final).
- Precalculus Exam (half exam, really more of a long quiz), discussion section in the second week. Will be dropped from your final average if this improves your grade.
- Midterm Exam 1: Wednesday, September 23.
- Midterm Exam 2: Friday, October 30.
- Midterm Exam 3: Friday, November 20.
- Final Exam (Sections 5/6): Monday, December 7, 12:30 p.m.
- Final Exam (Sections 9/10): Friday, December 11, 12:30 p.m.
All questions on all exams will be taken verbatim from the homeworks.
(The required and `additional' problems are both fair game.)
Practice final exams: See below.
Practice midterm exams: These were two of my midterm exams from a previous year. Note that the selection of material was a little bit different.
Homework is due to your TA by 5:00 p.m., on Fridays except as otherwise noted below. (Your TA will tell you where to turn in your homework.)
The homework will be graded and returned to you, according to the following scheme. Each homework is
worth 10 points. Out of that, three problems will be selected each week (randomly, for the most part) and graded
carefully, and each is worth 2 points. The remaining 4 points are for overall quality and completion.
All the homework assignments can be downloaded from this website (see below).
They are long. Do not start the night before.They are also very important.
Each homework will have ''required'' and ''additional'' problems. The additional problems are
not required; it is recommended that you check that you know how to do them, and they might appear on exams.
All exam problems will be taken verbatim from the homework assignments.
You will be graded both on correctness and on quality of exposition.
The standard is that someone who doesn't know the answer should be able to easily follow your work.
Any work that is confusing, ambiguous, or poorly explained will not receive full credit.
The grade cutoffs are: A for 88%, B+ for 84%, B for 76%, C+ for 72%, C for 64%, and D for 50%.
||   % of grade
|   Three in-class exams:
||   20% x 2
|   Final exam:
|   Maple lab assignments:
Only your highest two midterm exam grades will be counted. Also, the above does not include the precalculus
exam the week of September 3. This exam will be counted 10% or 0% of your total, whichever makes your grade turn out higher.
Make-up policy :
If you have a legitimate conflict with any of the exams it is your responsibility to inform me at least a week before the exam.
Otherwise, makeups will only be given in case of emergency.
Late homework will generally not be accepted, but please ask your TA if you have special circumstances.
Calculators will not be allowed for the exams. You may use them on the homework if you want, but this is discouraged,
as the purpose of the homework is to prepare you for the exams.
Supplemental instruction :
Corey Harmon runs the supplemental instruction sessions. This is a
valuable resource and you are strongly encouraged to take advantage of it.
Please go to ask questions and meet other students. It is a particularly
good place to
work on your homework.
There is also free drop-in tutoring as well as
free one-one-one peer tutoring, available through the
Student Success Center.
Please see here
for more information.
Schedule of lectures, homeworks, and exams
Homeworks are not always due on the same days of the week. This could be a bit annoying (my apologies), but it was done
to make sure no one homework is excessively long.
Homeworks are slightly subject to change. No new problems will be added within a due date (and new problems
are unlikely to be added at all).
8/21: What is calculus?
8/24: The cast of characters, I (Ch. 1.1-1.2, Functions and their graphs)
8/26: The cast of characters, II (Ch. 1.3, 1.6, Trigonometic and inverse functions)
8/28: The cast of characters, III (Ch. 1.5, 1.6, Exponential and logarithmic functions)
Homework 1, due Monday, August 31.
- 8/31: Measuring a curved line (Ch. 2.1, Rates of change and tangents)
During the week's discussion section there will be a precalculus exam
will count 10% of your final grade if it helps you; otherwise it will be dropped.
The precalculus exam will be six questions chosen at random from Homework 1. You will
have thirty minutes, the rest of section will be spent going over solutions.
9/2: The rules of the game (Ch. 2.2, limit of a function, limit laws)
9/4: No picking up your pencil! (Ch. 2.4, 2.5, one sided limits and continuity)
9/7: Labor day (no class)
Homework 2, due Wednesday, September 9.
9/9: A long time ago and very far away (2.6, limits at infinity)
9/11: Change we can measure (3.1, introduction to the derivative)
Homework 3, due Monday, September 14. (Shorter than the previous two.)
9/14: What the derivative *really* is (3.2, the derivative as a function)
9/16: The rules of the game, I (3.3, computing derivatives)
9/18: The rules of the game, II (3.3, 3.5, computing derivatives)
Homework 4, due Monday, September 21. (warning: long)
9/23: Exam 1, with solutions.
(Links have been updated to the 2015 midterm.)
9/25: Derivatives in "real life" (3.4, rates of change and applications)
9/28: It looks like a duck and it acts like a duck... (3.6, the chain rule)
9/30: A dirty trick (3.7, implicit differentiation)
Homework 5, due Friday, October 2.
10/2: Derivatives of inverse functions and logarithms (Ch. 3.8)
- 10/5-10/9: Class cancelled due to flooding.
10/12: Inverse trigonometric functions (3.9)
10/14: Of lights and ladders (3.10, related rates)
10/16: Of lights and ladders, II (3.10, related rates)
Homework 6, due Monday, October 19. (Warning: probably more difficult than average)
10/19: As good as it gets (4.1, maxima and minima)
10/21: Derivatives and graphing, I (4.3)
10/23: Fall break (no class)
Homework 7, due Monday, October 26.
10/26: Derivatives and graphing, II (4.4)
10/28: Dividing by zero (4.5, L'Hopital's Rule)
Homework 8, due Friday, October 30.
10/30: Exam 2.
11/2: The best fence money can buy (4.6, optimization)
11/4: The dog who knew calculus (4.6, optimization)
11/6: Running everything backwards (4.8, the antiderivative)
Homework 9, due Monday, November 9. Warning: It is good to start on Homework 10 before November 9 if
as it is due on Friday and not particularly short.
11/9: Areas and averages (5.1)
11/11: THE BIG KAHUNA (5.3, 5.4: the fundamental theorem of calculus)
11/13: The PROOF!! (5.4)
Homework 10, due Friday, November 13.
11/16: Making problems easier (5.5: integration by substitution)
11/18: Continuation of 5.5, or review.
Homework 11, due Wednesday, November 18.
11/20: Exam 3 (with solutions) .
11/23: Above this and below that (5.6, area between curves)
11/30: Volumes of dogfood bowls (6.1, the disk method)
12/2: Volumes of pound cakes (6.2, the shell method).
12/4: Review for final exam
Homework 12, due Friday, December 4.
Final Exam Review and Extra Credit. The bonus is in the form of four practice final exams,
and you can turn them in for extra credit. Each one is worth half a homework assignment, so you can
get extra credit equal to two homeworks total.
They are due at (or before) the final exam. If you finish them early,
bring them to me and I will grade them and give you feedback.
Practice Exam 2, with figures.
Practice Exam 3, with figures.
Practice Exam 4, with figures.
Practice Exam 6, with figures.
12/7 or 12/11, 12:30 p.m. - 3:00 p.m.: FINAL EXAM.