MATH 103A Homework 2
Due January 18, 2013
Version January 11, 2013
Assigned reading: Chapters 1 and 2 of Gallian.
Recommended practice questions: Chapter 2 of Gallian, exercises
1, 2, 3, 4, 5, 6, 13, 14, 17, 23, 25, 26
Assigned questions to hand in:
(1) (
Math 103A: Winter 2014
Midterm 2
Instructions: Please write your name on your blue book. Make it clear in your blue
book what problem you are working on. Write legibly and explain your reasoning.
This exam is graded out of 100 points. Following these inst
MATH 103A Practice Problems for the Final
Alina Bucur
Please do not make any assumptions about the composition of the exam from this set of review problems.
Do not assume that the exam questions will be exactly as the questions below, or slight modication
MATH 103A Practice Problems for the Final
Alina Bucur
2. Write down 5 dierent groups of order 24, such that no two of them are isomorphic to each other.
Prove that no two are isomorphic.
Solution. Z8 Z3 , Z4 Z2 Z3 , Z2 Z2 Z2 Z3 , D12 , S4 .
The rst three
Math 103A Fall 2006 Exam 1
w/solutions
NAME: Anne Sirs
Problem 1 /30
Problem 2 /20
Problem 3 /30
Problem 4 /20
Total /100
1
Problem 1 (30 points)
1 Let D4 = cfw_R0 , R90 , R180 , R270 , S1 , S2 , S3 , S4 be the dihedral group of order
8, which consists o
Math 103A Fall 2007 Exam 1
October 31, 2007
NAME: Solutions
Problem 1 /30
Problem 2 /25
Problem 3 /25
Problem 4 /20
Total /100
1
Problem 1 (30 points)
1 Let D3 = cfw_R0 , R120 , R240 , S1 , S2 , S3 be the dihedral group of order 6,
which consists of symm
Math 103A Fall 2005 Final
December 9, 2005
Show all work. Problems whose answers are a single number or yes or no may
not get credit if there is no explanation for the answer. You may quote without proof any theorems or results we stated in class or that
MATH 103A Homework 5
Due February 15, 2013
Version February 4, 2013
Assigned reading: Chapters 4, 6,7 of Gallian.
Recommended practice questions: Chapter 4 of Gallian, exercises
Chapter 6 of Gallian, exercises
2, 6, 11, 12, 15, 16, 18
Chapter 7 of Gallian
MATH 103A Homework 7
Due March 8, 2013
Version February 28, 2013
Assigned reading: Chapters 6,8 of Gallian.
Recommended practice questions:
Chapter 6 of Gallian, exercises
57
Chapter 8 of Gallian, exercises
1, 3, 4, 5, 7, 17, 88, 89.
Assigned questions to
MATH 103A Homework 3
Due January 25, 2013
Version January 19, 2013
Assigned reading: Chapters 1-3 of Gallian.
Recommended practice questions: Chapter 1 of Gallian, exercises
1, 2, 4, 5, 6, 7, 11
Chapter 2 of Gallian, exercises
17, 31, 33, 34, 44, 46, 47,
Math 103A: Winter 2014
Midterm 2 Solutions and Comments
Instructions: Please write your name on your blue book. Make it clear in your blue
book what problem you are working on. Write legibly and explain your reasoning.
This exam is graded out of 100 point