TEST 1 overview
MATH 2270
TEST 1 will cover all of Chapter 1 and Chapter 2 as well as whatever parts of Sections 1-4 of
Chapter 4 that we can cover by the end of class on Monday February 3.
The test will be held in class on Friday February 7 from 10:30am-
Assignment 1
MATH 2270
DUE DATE: Please hand in solutions on January 27 in class.
Please write out complete solutions for each of the following 6 problems (one more
will still be added). You may, of course, consult with your classmates, the textbook or ot
> with plots, implicitplot ;
implicitplot
(1)
> implicitplot exp x $ x$y C y2 = .1, exp x $ x$y C y2 =K exp x $ x$y C y2 = .5, exp x
.1,
2
2
$ x$y C y =K exp x $ x$y C y = 1, exp x $ x$y C y2 =K exp x $ x$y C y2
.5,
1,
2
= 2, exp x $ x$y C y =K , x =K .5,
Assignment 2
MATH 2270
DUE DATE: Please hand in solutions on February 28 in class.
Please write out complete solutions for each of the following 6 problems (one more will still be
added). You may, of course, consult with your classmates, the textbook or o
Final Exam Questions
(1) Prove that if m is prime and m|kl then either m|k or m|l.
(2) Questions about Zm : Let us say that an integer k where 0 < k < m is a zero-divisor mod m if
kn 0 mod(m) for some n with 0 < n < m. Prove the following implications for
Math 2270 - Review Subjects for the Final
Dylan Zwick
Fall 2012
This is a list of the general subjects you should know for the nal exam.
It covers the major themes weve studied in the class. Not all these subjects
will be on the nal, but theyre all fair g
NOTES ON AXIOMS FOR THE SET OF REAL NUMBERS
R denotes the set of real numbers, it includes the Z the set of integers and satises
the following set of axioms
(1) Algebraic axioms
(a) For every a, b, c R
a+b=b+a
ab = ba
a(b + c) = ab + ac
a + (b + c) =
Assignment 1 MATH 2270 SOLUTION Please write out complete solutions for each of the following 6 problems (one more will still be added). You may, of course, consult with your classmates, the textbook or other resources, but please write up your own soluti
This is a Maple worksheet/tutorial on Numerical Methods for approximating solutions of Differential
Equations (DEs). Along with expanding your toolbox, we shall explore the power of Maple for gaining insight
into DEs. Our mission is to solve the first ord
RULES FOR WRITING PROOFS
A proof of a statement P is a sequence of statements such that each is either
a hypothesis, or
an axiom, or
a statement that has been previously proven, or
a statement that can be validly inferred from previous statements in t