M361 FALL 2015 UNIQUE NUMBER 53490 HOMEWORK 1
This homework is due on Friday, September 4, 2015, before lecture begins. Late
homework is not accepted. In order to receive credit for this assignment you must
write your name and UT eid at the top of first p
ACTA ARITHMETICA
170.3 (2015)
On the Riesz means of
n
(n)
III
by
Ayyadurai Sankaranarayanan and
Saurabh Kumar Singh (Mumbai)
1. Introduction. Investigating the growth (or decay) of the absolute
value of the error term of the summatory function of an arit
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chester (crc2876) Homework 9 onyisi (57586)
This print-out should have 15 questions.
Multiple-choice questions may continue on
the next column or page find all choices
before answering.
001 (part 1 of 2) 10.0 points
A circular disk, a ring, and a square,
Joy Zhang
Math 123: Galois Theory
Pset due Mar 30
Artin pg 575 (1,6,10,12,18), 576 (2,3,6), 577 (3,4a)
[Ex.1] Determine the irreducible polynomial for i + 2 over Q.
The polynomial that splits i +
2 also splits all its conjugates roots, so the desired poly
M346: Applied Linear Algebra
Homework # 1
Handout: 01/26/2015, Monday
Due:
02/03/2015, Tuesday
1
To be Graded
Problem 1. Explain why each of the following sets is or is not a vector space.
(1) cfw_x Rn |x21 x22 + . . . + x2n
(2) All vectors x R4 that sat
M346: Applied Linear Algebra
Homework # 02
Handout: 02/03/2015, Tuesday
Due:
02/10/2015, Tuesday
1
To be Graded
Problem 1. In each of the following problem, you are given a basis B for Rn and a vector
v Rn . Find PEB , PBE and [v]B . Here E denotes the st
M361 FALL 2015 UNIQUE NUMBER 53490 HOMEWORK 3
This homework is due on Friday, September 25, 2015, before lecture begins.
Late homework is not accepted. In order to receive credit for this assignment you must
write your name and UT eid at the top of first
M361 FALL 2015 UNIQUE NUMBER 53490 HOMEWORK 3
This homework is due on Friday, September 18, 2015, before lecture begins.
Late homework is not accepted. In order to receive credit for this assignment you must
write your name and UT eid at the top of first
M361 FALL 2015 UNIQUE NUMBER 53490 HOMEWORK 6
This homework is due on Friday, October 16, 2015, before lecture begins. Late
homework is not accepted. In order to receive credit for this assignment you must
write your name and UT eid at the top of first pa
M361 FALL 2015 UNIQUE NUMBER 53490 HOMEWORK 2
This homework is due on Friday, September 11, 2015, before lecture begins.
Late homework is not accepted. In order to receive credit for this assignment you must
write your name and UT eid at the top of first
M361 FALL 2015 UNIQUE NUMBER 53490 HOMEWORK 3
This homework is due on Friday, September 25, 2015, before lecture begins.
Late homework is not accepted. In order to receive credit for this assignment you must
write your name and UT eid at the top of first
M361 FALL 2015 UNIQUE NUMBER 53490 HOMEWORK 6
This homework is due on Friday, October 16, 2015, before lecture begins. Late
homework is not accepted. In order to receive credit for this assignment you must
write your name and UT eid at the top of first pa
Introduction to Algebra
Rui L. Fernandes
University of Illinois at Urbana-Champaign
Manuel Ricou
Instituto Superior Tecnico
November 4, 2016
2
Contents
1 Basic Algebraic Structures (not available yet)
5
2 The Integers (not available yet)
7
3 Rings
3.1 The