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# review - MATH 1081 Monday April 25 RECAP AND REVIEW During...

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MATH 1081 Monday, April 25 RECAP AND REVIEW During the final exam there will be no calculators or notes allowed. Please bring a photo id and a writing utensil. You will be given the full 2.5 hours to complete the exam. If you have documentation for extended time, make sure to arrange this BEFORE the final exam.

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The time of the final exam is 730-10am on Wednesday, May 4. The location of your exam depends on your lecture section as follows: MW 9am – Section 010 – HUMN 150 MW 10am – Section 020 – MCOL W100 MW 11am – Section 030 – CHEM 142 MW 3pm – Section 040 – HALE 270 MW 4pm – Section 050 – RAMY C250
The Help Lab in MATH 175 will be open this week: Hours: Monday – Thursday: 9:00 am – 5:00 pm Friday: 9:00 am – 2:00 pm The Help Lab will NOT BE OPEN during Final Exam Week!!!! Office Hours : This week – Finals week –

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Format of the Final Exam Multiple Choice: about 50% of the exam No partial credit possible Show Your Work: about 50% of the Exam Partial credit possible No Notes. No Calculators.
Introductory Material We did not cover most of the sections in Chapters 1 & 2 in detail. However, the algebraic notions in these chapters were used throughout the course. Function notation Domain of a function Vertical asymptotes versus “holes” in rational functions Graph of an exponential function Graph of a logarithmic function

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Limits The notion of a limit is vital for our development of calculus. Both the derivative and the definite integral are defined in terms of a limit. The statement lim x a f x ( ) = L means that as x gets closer and closer to the value a , then the values of f x ( ) will approach the value L . Be prepared to evaluate limits both by looking at a graph AND algebraically.
Limits Evaluating limits using the graph of the function (Section 3.1) Evaluating Limits algebraically (Section 3.1) o Use properties of limits to evaluate, unless it has an indeterminate form, 0/0. o In the case of a limit with an indeterminate form, 0/0, try to factor and/or simplify to cancel out the problem of 0 in the denominator. o Remember that a limit does not exist (“DNE”) when either the two one-sided limits are not equal to one another OR when the limit tends to infinity. However, in the latter case, we actually write lim x a f x ( ) = because it provides more information that simple “DNE”.

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Limits One-sided limits (Section 3.1) o lim x a f ( x ) means x gets close to a , but x is always less than a.
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review - MATH 1081 Monday April 25 RECAP AND REVIEW During...

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