When the envelopes are opened, we see the following:
Abraham
Bobby
Charlene
$12,000
$6,000
$9,000
From the bids above, we see that Abraham wins the frogs with the highest bid of $12,000. With
that, th
Blood Study Guide
The major role of the blood is transportation through an intricate system of channels blood vessels that reach
virtually every part of the body. Blood constantly courses through the
1
Chapter 18: Hematology
1. List the tests generally included in a CBC
White blood cell count
Red blood cell count
Platelet count
Hemoglobin
Hematocrit
Differential white blood cell count
Red b
Capter 13 fecal occult blood
1. List 5 causes for blood in the stool
1. Hemorrhoids
2. Peptic ulcers and gastrointestinal ulcers
3. Diverticulitis
4. Polyps
5. Colitis
6. Colorectal cancer
2. Define t
The heart is actually (one, two, or three) pumps?
The heart is actually (one, two, or three) pumps?
three pumps
two pumps
one pump
Correct
Yes, the right side of the heart pumps to/from the lungs (pul
Math 2001 Assignment 20
Your name here
October 13, 2014
Problem 1. Scheinerman, 22, #12
Problem 2. Scheinerman, 22, #16cf
Problem 3. In its usual form, induction says that one may demonstrate a
senten
Math 2001 - Assignment 2
Due September 9, 2016
(1) Describe the following using set builder notation:
(a) A = the set of points in R2 on the line through (2, 3) that
is parallel to the y-axis
(b) B =
Math 2001 Assignment 16
October 1, 2014
Problem 1. Scheinerman, 6, #2.
Problem 2. Scheinerman, 6, #10.
Problem 3. Scheinerman, 6, #11.
Problem 4. Scheinerman, 6, #13.
Problem 5. Explain why proving x
Math 2001 - Assignment 1
Due September 2, 2016
(1) Are the following true for A = cfw_1, 2, cfw_3, 4 or not?
(a) cfw_3, 4 A (b) cfw_3, 4 A (c) A (d) |A2 | = 16.
(2) [1, Section 1.1]: Exercises 2,4,16
Math 2001 - Assignment 7
Due October 14, 2016
Be careful to write down every step in the proofs of 3,4 and reduce
every statement to definitions or other statements that were already
proved in class.
Assignment 1
MATH 2001
DUE DATE: Thursday, September 18, at the beginning of class.
Please write out complete solutions for each of the following problems. You may,
of course, consult with your classm
Math 2001 - Assignment 3
Due September 16, 2015
(1) Are the following statements? If so, determine whether they
are true or false.
(a) Some swans are black.
(b) Every real number is an even integer.
(
Math 2001 - Assignment 13
Due December 4, 2015
(1) Let A, B be finite sets. How many functions from A to B are
there? How many bijective functions from A to B?
(2) (a) Read the proof of Theorem 12.2 i
Math 2001 - Assignment 6
Due October 9, 2015
Please explain your reasoning for your answers to the following problems.
I would like to discuss and compare solutions in class. Please indicate
on your h
Math 2001 - Assignment 4
Due September 23, 2015
(1) Are the following equalities true for all statements P, Q, R?
(a) P Q = P Q
(b) (P Q) R = P (Q R)
(2) Find a statement in P, Q and R that is true ex
Math 2001 - Assignment 9
Due October 30, 2015
(1) Compute:
(a) 3 4 mod 7
(b) 2 9 mod 11
(c) 26 mod 9
(d) Solve for x Z: 13x 3 mod 31
Hint for (d): First solve the equation 13x + 31y = 3 using the
exte
Math 2001 - Assignment 5
Due October 2, 2015
(1) [1, Section 3.1]: Exercise 3
(2) [1, Section 3.1]: Exercise 4
(3) How many standard Colorado license plates (3 numbers followed
by 3 letters) have at l
Math 2001 - Assignment 10
Due November 4, 2016
(1) Prove by induction that for every q R with q 6= 1 and for
every n N0 :
1 q n+1
1
2
n
1 + q + q + + q =
1q
(2) [1, Chapter 10, exercise 8] Show that f
Math 2001 Assignment 23
Your name here
October 17, 2014
Problem 1. Scheinerman, 12, #21. Note that Problem 12.21c should read
(A B) C = (A C) (B C).
Problem 2. Suppose that A and B are finite sets. Pr
Math 2001 - Assignment 8
Due October 23, 2015
(1) Read Section 5.3 in [1].
(2) Solve the following for u, v Z:
(a) 33u + 10v = 5
(b) 44u + 10v = 5
(3) Let a, b, c Z with a, b not both 0. Show that
u,
Math 2001 - Assignment 12
Due November 20, 2015
(1) Let be an equivalence relation on a set A, let a, b A. Show
that
a 6 b iff [a] [b] = .
(2) Give the addition and multiplication tables for Z6 .
(3)
Math 2001 Assignment 18
Your name here
October 7, 2014
Definition 1. A real number x is said to be rational if there is an integer y
other than zero such that xy is an integer. A real number that is n
Math 2001 - Assignment 14
Due December 9, 2015
(1) Is f : Z Z Z, x 7 (x2 , 2x) injective, surjective?
(2) Find the inverse for f : R2 R2 , (x, y) 7 (3x + y, x 2y).
(3) Let f : A B and g : B C be surje
Math 2001 Assignment 15
September 29, 2014
Problem 1. Scheinerman, 5, #2.
Problem 2. Scheinerman, 5, #6.
Problem 3. Scheinerman, 5, #7. Hint: Use the previous problem.
Problem 4. Scheinerman, 5, #18.
Math 2001 Assignment 19
Your name here
October 8, 2014
Problem 1. Scheinerman, 22, #4e
Problem 2. Scheinerman, 22, #9
Definition
3. When n and k are natural numbers such that k n, we define
n
n!
=
k
k
Shahrekord University
A COURSE IN
HOMOLOGICAL ALGEBRA
Ali Reza Naghipour
Department of Mathematics,
P.O. Box: 115,
Shahrekord, Iran
Email: [email protected]
2010
www.mathematic87.blogfa.com
Conten
Shahrekord University
A COURSE IN
COMMUTATIVE ALGEBRA
Ali Reza Naghipour
Department of Mathematics,
P.O. Box: 115,
Shahrekord, Iran
Email: [email protected]
2010
www.mathematic87.blogfa.com
Conten