Midterm
There will be one in-class midterm on either the Thursday (TTh
classes) or Friday (MWF classes) immediately before the February
reading-break week. You must take the midterm at your usual lecture
time and place unless in exceptional circumstances arranged well in
advance. The midterm will be aimed for 45 minutes and will
consist of 5 questions (some with a few parts) for a
total of 45 marks. There are 12 pages, which includes **lots** of
blank space for your work. The midterm will cover all the material up
to and including partial-fraction decompositions . We will enforce the
following policies to help prevent students from cheating on the midterm:
- You must write the midterm in your own section (the one you
are officially registered in), unless you have explicit prior
permission from your instructor. If you are physically present in any
section other than your own during a quiz, you will receive a mark of
0 on that midterm.
- You must bring your student ID to the midterm and be
prepared to show it to the invigilators. If you do not have proper
identification for a midterm, you will receive a mark of 0 on that
quiz.
- Also, you must code your student ID number in the boxes on
the front of the midterm, and you must use a black pen to do
so. (You can write the midterm itself with any kind of pen or pencil,
except for red pens.)
You should know the standard trig identities: cos^2(x)+sin^2(x)=1;
1+tan^2(x) = sec^2(x); cos^2(x)=(1/2)[1+cos(2x)] and a similar
one for sin^2(x), as well as sin(2x)=2sin(x)cos(x).
The key topics that you should review include:
- converting riemann sums to integrals....
- even and odd integrands useful in simplifying the
calculation of certain integrals.
- FTC I combined with the chain or product rule....
- calculating areas between two curves through integration
in x or y as appropriate depending on the shape of the region
- calculating volumes of revolution about the x-axis,
y-axis or some other vertical or horizontal axis.
- calculating volumes by integrating over the cross-sectional area, i.e
V=int_{a}^{b} A(x) dx
- Being able to EASILY recognize how to integrate standard integrals
using either the subsitution rule, integration by parts,
sin^a cos^b integrals, simple tan^a sec^b integrals, inverse
trig substitutions, and partial fraction decompositions (up to the
middle of Webwork 6).
It is recommended to use the CLPII book in your review and your class
notes, and to go through the problems in the CLPII problem
book from sections 1.1 to 1.10 inclusive. The survey that you
participated in (thank you!) indicated that some students
actively do problems from the CLP II book, but some have never
opened the book. Please, use the book in your preparations.
Also take a look at the miscellaneous STAGE 2 integrals in section
1.13 of the online problem book,
as it will be important in
the test to quickly recognize which integration method will
work. Developing some fluidity and recognition for quickly
identifying the appropriate integration method will be
important.
Other than your student ID, all you need for the midterm is something
to write with. (Pens are preferred, but pencils are allowed as long as
they write darkly enough to be easily read. Red pens are not allowed.)
The midterm is completely closed book: you cannot use any books
or notes of any kind, and there will not be a list of formulas
provided for you. Also, you cannot use calculators on the
midterm. (For this reason, you should get used to not using
calculators when you do the homework assignments.) You will not be
allowed to have phones, pencil cases, or other electronic devices
out while taking the midterm, nor will you be allowed to use
headphones or earbuds.
The detailed solutions to the midterm will be posted. Your solutions
on the timed midterm won't need to be as verbose. That being
said, don't be afraid to use words in addition to clearly written
mathematics! The better we can see your thought process, the more
partial credit we will be able to give if the final answer isn't
exactly right.
WeBWorK
problems and suggested problems are an excellent source of midterm
questions, so they also provide an excellent way to study for the
midterm.
There is no make-up midterm in MATH 101. See the
missed
assessment web page about what to do if you are unable to attend
the midterm.
Getting your midterm back
Your physical midterm paper will not be returned to you; instead,
scanned copies of your marked midterm will be available online. To
obtain your marked midterm, first go
to Connect (where you can find
your midterm scores themselves) and take note of the "midterm code"
associated with your midterm. Then, go to
the MATH
101 midterm return page and type in your student number and
your midterm code. Finally, simply select the midterm; you may either
view it online or download a PDF copy for yourself. The files will
remain online all semester.
Requesting regrades of the midterm
If you find a recording error (the score on your midterm paper doesn't
match the score recorded in Connect), just bring the error to the
attention of your instructor, who will verify and correct the error.
If, after your midterm is returned to you, you feel that your grade on an individual problem deserves to be reconsidered, you can request a regrade from your instructor—but only by following these steps:
- First, check your answer carefully against the solutions posted
below. The majority of the time, doing so will help you realize why
the problem was graded the way it was. Remember that the grader can
only grade what you wrote on the midterm, not what you were thinking
at the time.
- If you still believe that the problem wasn't graded correctly,
print out and complete a
midterm
regrade form. Also print out a copy of your midterm paper
itself, but do not write on the midterm paper! Staple the
completed midterm regrade form to the front of your midterm paper and
give it your instructor.
- On the regrade form, state your specific argument for believing
you earned more marks than were given. Requests for regrades that are
not specific, or that do not use the regrade form, will not be
accepted. Also note that "I had the right idea" or "I think I deserve
more marks" are not valid arguments.
You must submit requests for regrades of the midterm no later than
two weeks after reading week.
We emphasize: there is never any need to write on a printed
copy of yourmidterm paper. Doing so, especially in the context of a
regrade request, will be interpreted as trying to cheat by changing
answers to the midterm questions after the fact. Such an action, of
course, is a serious violation of UBC's
academic
misconduct policy, as well as a breach of personal integrity.
Midterms: Versions A--F: Feb. 15-16, 2018
Please find the version of the midterm that you took. We strongly urge all
students to do their midterm again under exam conditions and to check their
answers with the detailed solutions. The solutions are much more detailed
than what was expected on the midterm; they are written this way as an aid
to your understanding of the material. After re-doing your midterm, we urge
all students to do at least one other version and to check their solutions.
These problems provide really good practice for preparing for these topics
for the final exam in April.
Midterm Version A: Questions
Click here:
Solutions Click here