Mathematics of the Secondary School Curriculum III
MATH 153

Fall 2015
Math 1B Exam #1 Sample
Fall Program for Freshmen 2015
Fred Bourgoin
A few things to keep in mind about this sample exam: (1) It is the exam I gave two years
ago; and (2) This exam does not include material from sections 8.2 and 8.3 while yours will
(might
Mathematics of the Secondary School Curriculum III
MATH 153

Spring 2016
Real Analysis Homework: #1
Yingwei Wang
Department of Mathematics, Purdue University, West Lafayette, IN, USA
1
Banach space
P
P
Question: Let (xn ) X be a Banach space, and
n=1 kxn k is convergent. Proof that
n=1 xn is
convergent in X.
P
P
Proof: Suppos
Mathematics of the Secondary School Curriculum III
MATH 153

Spring 2016
Universitext
For other titles in this series, go to
www.springer.com/series/223
Haim Brezis
Functional Analysis,
Sobolev Spaces and Partial
Differential Equations
1C
Haim Brezis
Distinguished Professor
Department of Mathematics
Rutgers University
Piscataw
Mathematics of the Secondary School Curriculum III
MATH 153

Spring 2016
REAL ANALYSIS
Ibookroot
October 20, 2007
Princeton Lectures in Analysis
I Fourier Analysis: An Introduction
II Complex Analysis
III Real Analysis:
Measure Theory, Integration, and
Hilbert Spaces
IV Functional Analysis: Introduction
to Further Topics in An