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MAT137Y5 Study Guide - Quiz Guide: Minnesota State Highway 101, Minimax, Riemann IntegralExam


Department
Mathematics
Course Code
MAT137Y5
Professor
Jaimal Thind
Study Guide
Quiz

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MAT 137Y - TERM TEST 3 REVIEW SHEET PAGE 1OF 4MAT 137Y - TERM TEST 3 REVIEW SHEET PAGE 1OF 4MAT 137Y - TERM TEST 3 REVIEW SHEET PAGE 1OF 4
The test is 1.10 2.50 on Friday, February 8, 2019, in KN 137. Please arrive about 5 minutes
early, so that we can start on time.
Please learn your tutorial information. Tests are returned in tutorial.
There will be a 2 point penalty for missing or incorrect tutorial information.
There are no calculators, notes or books allowed.
The test will have 5 questions: 40% is computation, 40% is proof/conceptual, 20% True/False.
Remember to bring your TCard to the test. (We will be taking attendance for the test!)
Office hours next week are as follows:
Instructor/TA Time Place
Esentepe Tu 11-12.30 DH 3097-A
Bibilo Tu 1.30-2.30, Th 11 DH 3027
Thind Tu 2, Tu 5, W 1, Th 10 DH 3025
David M 2 DH 2027
Jayde Th 10-1, Th 5-7 DH 2027
Rodney Tu 11-1, more TBA DH 2027
The test covers material from class, HW, quizzes and practice problems related to: 4.2, 4.3,
4.4, 4.5, 4.6, 5.1, 5.2, 5.4, 5.5, 6.1
Here is a summary of topics you should know for the exam. It is meant to be a guide for
your own studying. It is your responsibility to do a thorough review of your own notes from
class, HW and TUT problems, and to go over the related material from the textbook. So use
this list as a guide, but make sure you are comfortable with the practice problems, tutorial
problems and the material and examples covered in lecture.
Things to know for the test
Previous Material - You should know the previous material, and be able to use it to solve
new problems. However, you will not be tested explicitly on the material from Test 1 or Test 2.
Max/Min, Concavity, Curve Sketching - You should know how to find and classify criti-
cal points, find intervals of increase/decrease, intervals of concavity and inflection points. You
should be able to use that information to sketch the graph of a function.
L’Hopital’s Rule - You should know what L’Hopital’s Rule says, when it applies and how
to use it to compute limits. You should be able to deal with indeterminate forms of types
0
0,
,0· ∞,1,00,0,∞ − ∞”.
Areas, Distances and Riemann Sums - You should understand the intuition behind Rie-
mann sums, both from the perspective of distance travelled (when fis a speed function), and
area below the graph. You should know what a partition is, the definitions of L(f, P ), U(f, P )
and the right, left and midpoint rules r(f, P ), l(f, P ), m(f, P ) for a partition P. You should
know what “refinement” and “common refinement” are, and how to relate upper and lower
sums for refinements. You should be able to compute upper and lower sums for given functions
and partitions, and for easy functions evaluate such sums for arbitrary partitions.
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