List of homework to try:
On most occasions, homework is not DUE to turn in for this class, but is instead to be attempted
as practice for upcoming exams and quizzes and for generating questions to ask at upcoming
class meetings. When homework ends up as a
Math 222: Spring 2017
Practice Problems for Exam #1
Please note: This handout is intended to help you prepare for the upcoming exam. It should not be taken as a measure of the difficulty or specific
content of the actual exam. The actual exam questions ma
Name:
Math 222: Spring 2017
Quiz 2: Thursday, February 16.
Instructions: Write legibly. Make sure you show all your work: little
or no credit will be awarded, even if your answer is correct, if a coherent
explanation is not provided. Do not use techniques
Name:
Math 222: Spring 2017
Quiz 1: Thursday, February 2.
Instructions: Write legibly. Make sure you show all your work: little
or no credit will be awarded, even if your answer is correct, if a coherent
explanation is not provided. Do not use techniques
Name:
Math 222: Spring 2017
Quiz 2: Thursday, February 16.
Instructions: Write legibly. Make sure you show all your work: little
or no credit will be awarded, even if your answer is correct, if a coherent
explanation is not provided. Do not use techniques
Name:
Math 222: Spring 2017
Quiz 1: Thursday, February 2.
Instructions: Write legibly. Make sure you show all your work: little
or no credit will be awarded, even if your answer is correct, if a coherent
explanation is not provided. Do not use techniques
Course Syllabus
MTH 222, Sections B and C
Linear Algebra
Spring 2017
Course Information
Objective: To provide a first course in linear algebra, with an emphasis on matrix
theory, vector spaces, and linear transformations.
Lecture Times:
TR 10:00 a.m. - 11
Exam 2- Practice Problems (Chapters 3, 4, and 5)
MTH 125
The problems in Exam 2 will likely be similar (not the same) to the problems in this document.
Correct answers without supporting work will only receive 1 point regardless of the number of
points al
MORE TIPS ON WRITING IN MATHEMATICS
I.
Goal
The goal of mathematical writing in this course is to enhance thinking, comprehension and
communication skills. It has been said, If you cant explain it, you dont understand it.
II.
Expectations
You are expected
Name:
MTH 151 Calculus I
Extra Credit worth 3%
Study Guide for Exam #4
Due: December 7, 2016
1. Of all rectangles with area 90, which one has the minimum perimeter?
2. Find numbers x and y satisfying the equation x + 3y = 12 such that the product of x and
MTH 151, Review Problems for Exam 1
September 25, 2016
Test 1 will be given in class on Wednesday, September 28, 2016
Sections for the test: Chapter 2 through Section 3.4
1. Find the following limits if they exist in either finite or infinite sense. If a
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Final Exam Practice Problems
Limits
Evaluate the limit: if it exists. If it does not exist, explain why. Remember; weve added IHopitals
to your toolbox.
l. lim$2+55~6
m>2
mm?)
2 rm
$>3 :32 - 9
3.
. I 1
hm
:ral mm 1
2_ o
4 11m CC 233+o
32%71 333 - 1
MTH 231 Element of Discrete Mathematics Quiz 9 Solution Fall 2016
Write solutions on your papers and put the problem sheet on top, staple them together.
Given a partial order R on a set A.
(1) An element 9: E A is called a minimal element if there does no
MTH 231 Element of Discrete Mathematics Quiz 10 Solutions Fall 2016
Write solutions on your papers and put the problem sheet on top, staple them together.
1. (4 pts) Below is the Hasse diagram of a partial order R.
(a) List all the maximal elements of R.
MTH 231 Element of Discrete Mathematics Quiz 8 Solution Fall 2016
Write solutions on your papers and put the problem sheet on top, staple them together.
1. (3 pts) Write down all the possible equivalence relations R on cfw_1, 2, 3, 4, 5, 6 that satisfies
MTH 231 Elements of Discrete Mathematics Quiz 7 Solution Fall 2016
Comment: A convenient way of arguing that a set is countable is to find a way to list all
elements in a sequence. The list needs to work in a way so as to guarantee that each element
will
MTH 231 Elements of Discrete Mathematics Section B Quiz 3 Solution Fall 2016
1. (12 pts) Let T (x, y) denote the predicate/propositional function: x has talked to y. Let
F (x, y) denote the propositional function: x is a friend of y. Let the domain of cou
MTH 231 Elements of Discrete Mathematics Section B Quiz 2 Solutions
Fall 2016
(The raw total is 20 points. At the end of the semester, the quiz total will be rescaled.)
1. (8 pts) For each part, determine with work if the two propositions are logically e
MTH 231 Elements of Discrete Mathematics Section B Quiz 5 Solution Fall 2016
1. (10 pts) True or False? Write T or F. Below, U denote the universe of all elements.
(a) 3 cfw_1, 2, cfw_, 3, cfw_3.
True
(b) cfw_3 cfw_1, 2, cfw_, 3, cfw_3.
True
(c) cfw_3 cfw
MTH 231 Element of Discrete Mathematics Quiz 11 Solution Fall 2016
Write solutions on your papers and put the problem sheet on top, staple them together.
1. (6 pts) Find det(A) for the following matrix
1 1 2
A = 3 0 3
2 6 2
Solution. If we expand along ro
MTH 231 Elements of Discrete Mathematics Section B Quiz 1 Solutions
Fall 2016
(The raw total is 20 points. At the end of the semester, the quiz total will be rescaled.)
1. (8 pts) Let p denote John swam 1 mile, q denote Jill ran 5 miles, r denote Alicia
MTH 231 Elements of Discrete Mathematics Section B Exam 3 Solution
Fall 2016
1. (12 pts) Let A = cfw_a, b, c, d, e. The parts below are independent from each other. You may
represent a relation using its digraph.
(a) Draw the digraph of a relation R on A
MTH 231 Elements of Discrete Mathematics Section B Exam 2 Solution
Fall 2016
The total is 103 points.
1. (10 pts) Which of the following statements are true? Circle of the correct ones.
(a) cfw_, 2, cfw_2, cfw_12.
(b) cfw_, 2, cfw_2, cfw_12.
(c) cfw_2 cf
MTH 231 Elements of Discrete Mathematics Section A Exam 1 Solution
Fall 2016
(The total is 101 points.)
1. (9 pts) Write each of the following in the formif p, then q in English.
(a) A sufficient condition for a function to be continuous is that it is sm