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

by OC2499877

Department

MathematicsCourse Code

MAT137Y5Professor

Jaimal ThindStudy Guide

QuizThis

**preview**shows page 1. to view the full**4 pages of the document.**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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