Introductory Real Analysis
Math 328, Summer 2015
University of Washington
c 2015, Dr. F. Dos Reis
Homework 2
Due at the beginning of the class on Friday July 17th
Exercise 1. Determine whether the folowing integrals are convergent or divergent
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dx
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Introduction to Differential Equations and Applications
MATH 328

Winter 2017
Introductory Real Analysis II
Math 328, Winter 2016
University of Washington
c
2016,
Dr. F. Dos Reis
Homework 2
Due at the beginning of the class on Wednesday January 20th
Exercise 1. Consider the power series S(x) =
X
x3n
.
(3n)!
n=0
1. Determine the rad
Introduction to Differential Equations and Applications
MATH 328

Winter 2017
Introductory Real Analysis II
Math 328, Winter 2016
University of Washington
c
2016,
Dr. F. Dos Reis
Homework 3
Due at the beginning of the class on Wednesday January 27th.
Exercise 1. Let a function defined on a neighborhood I of 0 that has continuous de
Introduction to Differential Equations and Applications
MATH 328

Winter 2017
Introductory Real Analysis II
Math 328, Winter 2016
University of Washington
c
2016,
Dr. F. Dos Reis
Homework 5
Last name:
First name:
Due in class on Friday February 26th.
Exercise 1. Let f be an increasing function on an interval [a, b]. ( if x < y, the
Introduction to Differential Equations and Applications
MATH 328

Winter 2017
Introductory Real Analysis II
Math 328, Winter 2016
University of Washington
c
2016,
Dr. F. Dos Reis
Homework 5
Due at the beginning of the class on Friday February 19th
Exercise 1. If f is a continuous positive function defined on R such that lim f (x) =
Introduction to Differential Equations and Applications
MATH 328

Winter 2017
Introductory Real Analysis II
Math 328, Winter 2016
University of Washington
c
2016,
Dr. F. Dos Reis
Homework 7
Due at the beginning of the class on Friday March 11th
Exercise 1. Determine whether the following integrals are convergent or divergent
Z
Arc
Introduction to Differential Equations and Applications
MATH 328

Winter 2017
Introductory Real Analysis
Math 328, Summer 2015
University of Washington
c
2015,
Dr. F. Dos Reis
Last Name (PRINT):
First Name (PRINT):
Summer 2015 Introductory Real Analysis II
Final Examination
Instructions
1. The use of all electronic devices and any
Introduction to Differential Equations and Applications
MATH 328

Winter 2017
Introductory Real Analysis II
Math 328, Winter 2016
University of Washington
c
2016,
Dr. F. Dos Reis
Homework 1
Due at the beginning of the class on Wednesday January 13th
Exercise 1. Determine the radius of convergence of the following series
1.
X
(2n)!
Introduction to Differential Equations and Applications
MATH 328

Winter 2017
Introductory Real Analysis II
Math 328, Winter 2016
University of Washington
c
2016,
Dr. F. Dos Reis
Math 328 Introductory Real Analysis II
Winter 2016 Section B
Instructor: Dr. Fanny Dos Reis
Office: Padelford Hall C331,
Address: [email protected]
Web Page: ht
Introduction to Differential Equations and Applications
MATH 328

Winter 2017
Introductory Real Analysis
Math 328, Summer 2015
University of Washington
c
2015,
Dr. F. Dos Reis
Last Name (PRINT):
First Name (PRINT):
Section:
Summer 2015 Introductory Real Analysis II
First Examination
Instructions
1. The use of all electronic devices
Introduction to Differential Equations and Applications
MATH 328

Winter 2017
1
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Dr. Natalie Naehrig
University of Washington
MATH328
Due 412 in Class
Homework 1
Problem 1 Give an example of each of the following. Give an explicit formula for each
function and sketch its graph to show your answer is correct.
(a) A function f : [0, 1]
Introductory Real Analysis
Math 327, Spring 2015
1
University of Washington
c
2015,
Dr. F. Dos Reis
Axioms of R
Axiom 1. R is a commutative field.
Definition 1. F + is a commutative field if
1. For any a, b, c in F , a + (b + c) = (a + b) + c, and a (b c)
Dr. Natalie Naehrig
University of Washington
MATH328
Due 45 in Class
Homework 0
This is an assignement for extra credit. There are 15 problems, each worth 0.5 pts. It is the
final for 327. I am expecting you to familiarize with the theory that is necessa
Dr. Natalie Naehrig
University of Washington
MATH328
Syllabus Spring 2017
Office hours: Fr 8.00am  10:15am, Location is Padelford, C331
Class Schedule: Mo, We, Fr, 11:30am12:20am. It is your responsibility
for getting all information we discuss in class
Introductory Real Analysis
Math 327, Summer 2015
University of Washington
c 2015, Dr. F. Dos Reis
Last Name (PRINT):
First Name (PRINT):
Summer 2015 Introductory Real Analysis
Second Examination
Instructions
1. The use of all electronic devices is prohibi
Introductory Real Analysis
Math 328, Summer 2015
University of Washington
c
2015,
Dr. F. Dos Reis
Last Name (PRINT):
First Name (PRINT):
Summer 2015 Introductory Real Analysis II
Second Examination
Instructions
1. The use of all electronic devices and any
Introductory Real Analysis
Math 328, Summer 2015
University of Washington
c 2015, Dr. F. Dos Reis
Homework 2
Due at the beginning of the class on Friday July 10th
Exercise 1.
1. Express Arctan x is terms of a power series .
x
Arctan tdt as a power series
Introductory Real Analysis
Math 328, Summer 2015
University of Washington
c 2015, Dr. F. Dos Reis
Homework 4
Due at the beginning of the class on Friday July 31st
Exercise 1. The gaol of the exercise is to study the Wallis integrals and prove that
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Introductory Real Analysis
Math 328, Summer 2015
University of Washington
c 2015, Dr. F. Dos Reis
Homework 5
Due at the beginning of the class on Friday August 7tht
Exercise 1. Given the function (x) =
1
1
dt.
1 + tx
1. For which values of x is convergent
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Introductory Real Analysis
Math 328, Summer 2015
University of Washington
c 2015, Dr. F. Dos Reis
Homework 6
Due at the beginning of the class on Friday August 14th
Exercise 1. Let a and b 2 real numbers such that a < 0 < b. Assume that f is a continuous
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