EKPHRASIS
Requires visual evidence of the works original appearance and subsequent alterations
How to Write an Ekphrasis
This requires looking very closely at postures, gestures, and setting of figures in a painting or
sculpture, and using logic to deduce
Section 2.5 Measures of Position
The Standard Score
For a symmetric data set, the standard deviation is our measuring stick for determining
close or far. A standard score, or
z -score (named for the standard normal
distribution that we will study in secti
Module 3
Recommended reading: https:/betterexplained.com/articles/a-brief-introduction-toprobability-statistics/
Section 3.1 Basic Concepts of Probability and Counting
Probability Experiments
A probability experiment is an action through which specific re
Section 2.4 Measures of Variation
Example 25
Would you rather live in San Francisco or St. Louis? The table presents the average
monthly temperatures, in degrees Fahrenheit, for San Francisco and St. Louis.
Jan
Feb
Mar Apr
May Jun
Jul
Aug
Sep
Oct
Nov
Dec
Section 4.1 Probability Distributions
Random Variables
A random variable is a numerical outcome of a probability experiment.
Discrete random variables are random variables whose possible values can be
listed.
Continuous random variables are random variabl
Math 580, Final Exam Information.
6/28/13, BA 302, 1:15 - 3:10.
The Final exam is cumulative.
Useful materials.
1. All homework.
2. Exams I and II and solutions to these; Quizzes 1 - 10 and solutions to these.
3. Reviews for exams I and II.
4. Class notes
Math 580. Quiz 3. 9/16/09. Name:
0 Read problems carefully. Show all work.
0 There are [5 points total.
1. §2.4, #4 a (7 points): Suppose that gcd(a, b) = l. Prove that
gcd(a+b, ab)=lor2.
Laotwméwél M allow!» ,wm/W
OHM)
dumbhuLl zéla,
(XHWMU-m: W)&
Math 580, Exam 3. 11/20/09.
Name:
1. (20 points) Use Wilsons Theorem to do this problem.
(a) (10 points) Compute
7 8 9 15 16 17 23 24 25 32
(mod 11).
Briey explain your answer.
Solution Note that the integers in the product form a set of reduced residues
Math 580, Exam 2 Information.
6/20/13, BA 302, 1:15 - 2:15.
Exam 2 will be based on:
Sections 3.2, 3.3, 4.2, 4.4, 5.2, 5.3;
The corresponding assigned homework problems
(see http:/www.math.sc.edu/boylan/SCCourses/580Su13/580.html)
At minimum, you need t
Math 580, Exam 1. 9/18/09.
Name:
Read problems carefully. Show all work.
No notes, calculator, or text.
The exam is approximately 15 percent of the total grade.
There are 100 points total. Partial credit may be given.
1. (20 points) Let x be a positiv
Math 580, Exam 1. 9/18/09.
Name:
1. (20 points) Let x be a positive integer of the form 3k + 2.
(a) (7 points) Explain why x must be of the form 6j + 2 or 6j + 5 for some integer j .
Solution: Every integer has the form k = 2j or k = 2j + 1. Therefore, we
Math 580, Exam 1 Information.
6/11/13, BA 302, 2:10 - 3:10.
Exam 1 will be based on:
Sections 1.1, 1.2, 2.2, 2.3, 2.4, 2.5, 3.1;
The corresponding assigned homework problems
(see http:/www.math.sc.edu/boylan/SCCourses/580Su13/580.html)
At minimum, you n
Math 580, Exam 2. 10/21/09.
Name:
1. (25 points)
(a) (10 points) Find all incongruent solutions mod 44 to the linear congruence
19x 8
(mod 44).
Solution: gcd(19, 44) = 1 | 8 = there is one solution mod 44.
19x 8 (mod 44) = k Z with 19x 44k = 8. We solve 1
Math 580, Exam 2. 10/21/09.
Name:
1. (25 points)
(a) (10 points) Find all incongruent solutions mod 44 to the linear congruence
19x 8
(mod 44).
(b) (8 points) How many incongruent solutions mod 51 does the linear congruence
17x 34 (mod 51) have? Briey exp
Module 2
Section 2.3 Measures of Central Tendency
Mean, Median, and Mode
A measure of central tendency is a value that represents a typical, or central, entry of a
data set. The three most commonly used measures of central tendency are the mean, the
media