### 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 is aimed for 45 minutes and generally consist of 10 questions for a total of 40 to 45 marks. There are generally about 10 pages, which includes **lots** of blank space for your work. The midterm will cover all the material up to and including trigonometric integrals. 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 the test, 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 test.
• Also, you must code your student ID number in the boxes on the front page 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 sin^2(x)=(1/2)[1-cos(2x)]
• sin(2x)=2sin(x)cos(x)
and the derivative of sin(x), cos(x), tan(x) and sec(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, including determining the intersection points of the two curves and which curve lies of the top of the other curve.
• calculating volumes of revolution about the x-axis, y-axis or some other vertical or horizontal axis, defined by 1 or two curves including determining the intersection points of the two curves and which curve lies of the top of the other curve.
• calculating volumes by integrating over the cross-sectional area, i.e V=int_{a}^{b} A(x) dx
• formulating and calculating work and average of a function.
• being able to EASILY recognize how to integrate standard integrals using either the subsitution rule, integration by parts, sin^a cos^b integrals and simple tan^a sec^b integrals.
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 1.8 inclusive. 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, as well as the midterms with solutions from 2018 at the bottom of this page, 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 Canvas where you can find your midterm score and take note of the "return 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, click "Retrieve paper". 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, once properly rescaled doesn't match the score recorded in Canvas), 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 should earn 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.

Important rules:

• You must submit your request for a regrade of your midterm no later than Wednesday March 4th 2020.
• Please note you are expected to ask for a regrade of a single problem only. In very rare circumstances only you should ask for a regrade of more than a single problem. Also please note that your grade may go up, go down or stay the same.
• If you request more than one problem to be regraded and your claims for problems 2, 3, ... are not legitimate, you will nominally lose one mark per illegitimate request. Instructors do make mistakes when they mark, and we are more than happy to correct these marking mistakes if they are actual marking mistakes only.
• 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. 13-14, 2020

The version of the midterm that you took is now available below. 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.

## Midterms from 2018 for practice: Versions A--F

Please find below the midterms with solutions from 2018 for practice: