MAT1325
Prof: Monica Nevins
Homework #1 due in class on January 25, 2012
Family name:
First name:
Student number:
Please read these instructions carefully.
1. Read each question carefully, and please answer questions in the
space provided after each quest
MAT1325 : DGD 4, JANUARY 31, 2012
These exercises are intended to help you cement your knowledge and to make concrete the theory we
discussed in class. Look over and attempt the exercises before the DGD. Not all exercises will be done in the
DGD due to li
MAT1325 : DGD 3, JANUARY 24, 2012
These exercises are intended to help you cement your knowledge and to make concrete the theory we
discussed in class. Look over and attempt the exercises before the DGD. Not all exercises will be done in the
DGD due to li
MAT1325 : DGD 5, FEBRUARY 7, 2012
These exercises are intended to help you cement your knowledge and to make concrete the theory we
discussed in class. Look over and attempt the exercises before the DGD. Not all exercises will be done in the
DGD due to li
MAT1325 : DGD 1 JANUARY 10, 2012
Questions marked with * are challenging and interesting, and beyond the scope of this course.
(1) Some practice with eld axioms.
(a) Prove that the neutral element for addition is unique. Hint: Suppose there are two such e
MAT1325 : DGD 8, MARCH 6, 2012
These exercises are intended to help you cement your knowledge and to make concrete the theory we
discussed in class. Look over and attempt the exercises before the DGD. Not all exercises will be done in the
DGD due to limit
MAT1325 : HW#5 DUE MARCH 28, 2012
Instructions: The work you submit should be well-organized, well-justied and written legibly.
Calculations alone, without minimum explanation to make it readable, are insucient. Bonus
questions can earn bonus points. The
MAT1325
Prof: Monica Nevins
Homework #3 due at the math department drop box (front
entrance of KED) by 3:30pm Wednesday, February 22, 2012.
Alternately: you may scan (as a pdf only) your solution and email
it to me (by the same deadline).
Family name:
Fir
MAT1325 : DGD 6, FEBRUARY 14, 2012
These exercises are intended to help you cement your knowledge and to make concrete the theory we
discussed in class. Look over and attempt the exercises before the DGD. Not all exercises will be done in the
DGD due to l
Tips on Memorizing Definitions and Theorems
We have a lot of definitions and theorems in this class, upon which all our results are
built. We really do need to know all the definitions, and know all the theorems, to be
able to work with them and figure ou
Quiz 2 Solutions
The question: Give the definition of the supremum of a set S of real numbers.
A correct answer: The supremum of a set S of real numbers is a real number b such that
two conditions hold:
1.xS, we have
xb,
and
2.if cR also satisfies conditi
MAT1325 : DGD 2 JANUARY 17, 2012
Not all exercises will be done in the DGD; but please ensure that you ask the TA to do those exercises
that you have diculty with!
(1) Stewart, App A: # 7, 15, 21, 23, 25, 27, 31, 35, 39
1
1.
x
(3) Prove the following
(a)