Rob Parker
MAT 415
Dr. Raushan Buzyakova
Problem Set 1
1: 12, 22; 2: 6, 16, 26; 3: 22, 32, 36, 58; 4: 10, 22, 32.
1.12:
Explain what the following diagram proves about the group
Dn .
Both of these seq
Tiffany Foshee
Module 6 Homework
Chapter 19 Exercises: 8, 14, 24, 26
8. If cfw_v 1 , v 2 , . . , v n is a linearly dependent set of vectors, prove one of these vectors is
a linear combination of the
Tiffany Foshee
Math 415
3-3 Homework
11 September 2016
Chapter 9 Exercises: 12, 20, 72
12. Prove that a factor group of a cyclic group is cyclic.
Proof. Let G= a and G/ H be a factor group of G. Then
Tiffany Foshee
MAT 415 Quiz 3
Chapters 1520
Complete each of the following problems and submit your work in a single file via the link in
Module Six. In order to receive full credit, you must show all
Tiffany Foshee
Abstract Algebra
Module 1 Assignment
Chapter 1
12. The diagram of the group Dn shows that it is not commutative or Abelian. The first row
shows the operation F followed by the operation
Tiffany Foshee
Abstract Algebra
Module 2 Homework
Chapters 5-7
4 September 2016
Chapter 5 Exercises
8. Show that
A 8 contains an element of order 15?
(8)
(7)(1)
(6)(2)
(6)(1)(1)
(5)(3)
(5)(2)(1)
(5)(1
Tiffany Foshee
Math 415 Abstract Algebra
Module 5 Homework
Chapter 15 Exercises: 8, 14, 18
8. Prove that every ring homomorphism
( x )=ax , where a2=a .
from Z n to itself has the form
Proof. Let be
Tiffany Foshee
Module 7 Homework
Chapter 21 Exercises: 6, 18, 24, 32
6. Suppose that f (x) and g(x) are irreducible over F and that deg f ( x) and
deg g( x ) are relatively prime. If a is a zero of f
Tiffany Foshee
MAT 415 Quiz 1
Chapters 17
Complete each of the following problems and submit your work in a single file via the link in
Module Two. In order to receive full credit, you must show all w
Running head: SOCIAL PSYCHOLOGY
Predictors of helping behaviors
Deirdre M. Raysor
Southern New Hampshire University
1
2
PSYCHOLOGY
Predictors of helping behaviors
Helping behavior is behavior when we
Tiffany Foshee
Abstract Algebra
4-2 Homework
18 September 2016
Chapter 12 Exercises: 6, 14, 18, 30
6. Find an integer n that shows that the rings Z n need not have the following properties that the ri
Tiffany Foshee
MAT 415 Quiz 2
Chapters 914
Complete each of the following problems and submit your work in a single file via the link in
Module Four. In order to receive full credit, you must show all
Chapter 1: Introduction to Groups
Rotations:
Always done counterclockwise
Ro=Rotation of 0
R90= Rotation of 90
R180= Rotation of 180
R270= Rotation of 270
H=Flip about a horizontal axis
V= Flip about
Rob Parker
MAT 415
Dr. Raushan Buzyakova
Problem Set 4
12:6,14,18,30 ; 13 :4,18,20,30 ; 14 :6,12,26,36 .
12.6:
n
Find an integer
Zn
that shows the rings
need not have the following properties
that the
5ct 9- r-
Prohlc't
4.
c4,
cd.
s
tSi, '8,
'l'7, tl ,
.
lo i '\'t2'zo,
t7 i t t"r 1t, , .
Ll. LE:' b'lE Lz.
t 5,
f rova
g ',.
it
1e
cfw_ a"t
s<
tF
f -f ra'+ 7 n
?.rrJ rlr'g hr^o.htrfAr'5rr.
l.-rn) !^,
c
Rob Parker
MAT 415
Dr. Raushan Buzyakova
Problem Set 2
5 :8,14,26 ; 6 :10,36,52; 7 :8,24,38 .
5.8:
A8
Show that
contains an element of order 15.
Since
( 12345 )=(15)(14)(13)(12) , it is found that
Sin
5rt
'E 'l tl
c h, lt:
cfw_l
'Lr'lo,
zo"
Lq.
l2
r
O
lotC,-t
(*3
'z.l 'z 6.
'>oI
L
6"
Jt 1n
ur, r" I u^3
11-6
e
ll
e
f "one thet
n, scfw_o r),
lr'nc.tr
( o 4t biaalloa
t,t4ear(5 JcPcaJtaf
4
nt(cfw_ort
c
$ a*
frtL(*t
Lh, t ; cfw_2"It 7O
(cfw_* cfw_ o ; iL z\
tl
Lh. [t t 2- et, z (
?. t a
rtl
3 *3
"L
SI
3o
q
Prorr cfw_e^*
t
*'J r g &t*c.
* cfw_o'
" ll SnLl rs \f
*1 o1 a g retf
a*l =Hr tr
a& qLb,
'
A-to
Algebra Review
STUDY GUIDE
Study Guide Order of Operations
Problem #4: Simplify the Expression
Study Guide Order of Operations
Problem #5: Simplify the Expression
Study Guide Solving Equations
Problem
Algebra Review:
Solving Quadratic Equations
by Factoring
Warmup
Factor
1.
2.
the Polynomial
Solving Quadratics Equations
Objective: Students will be able to solve quadratic
functions by factoring us
Algebra Review!
Warm-up
Take about 5-10 minutes to complete the
coordinates worksheet from yesterday.
Order of
Operations
Objective: Students will be able to simplify expressions
using order of ope
Algebra Review:
Factoring By Grouping
Warmup
Go
to Kahoot.it
Work
in your group.
Enter
the Game pin that appears on the
screen and choose your team nickname.
Factoring Polynomials
Objective:
Students
Rob Parker
MAT 415
Dr. Raushan Buzyakova
Problem Set 7
21: 6,18,24,32; 22 :6,10,24,30 .
21:6:
Suppose that
f (x)
relatively prime. If
irreducible over
Let
Then
b
and g(x) are irreducible over
a
f ( x)