Intermediate Real Analysis II
MAT 473 / Spring 2012 / SLN 26500

Instructor: Steve Kaliszewski
Schedule: TTh 10:30-11:45am
Location: ECG G305 (Tempe campus)
Www: math.asu.edu/~kaz/mat473/12s/


Course Description: 

This course is a continuation of MAT 472, Intermediate Real 
Analysis I.  The focus is on analysis in n-dimensional Euclidean
space, including differentiation and Lebesgue integration.
Time permitting, we will give an introduction to manifolds.

It is intended that MAT 472-473 be accessible to undergraduate
math majors, and that the courses prepare them well for
graduate real analysis courses at all universities. 


> Final Exam Review Sheet(.pdf)
> Exam 1 Review Sheet(.pdf)

> Lecture Notes
> Homework Solutions


ASSIGNMENTS:

14. Due Thursday, April 19:
	Exercises 25.2 and 25.3.

13. Due Thursday, April 12:
	Exercises 22.3 and 22.5.

12. Due Thursday, April 5:
	Exercises 21.2 and 21.3.

11. Due Thursday, March 29:
	Exercises 18.3 and 19.4.

10. Due Thursday, March 15:
	Exercises 17.1 and 17.2.

09. Due Thursday, March 8:
	Exercise 16.2 parts (ii) and (vii), and Exercise 16.4.

08. Due Thursday, March 1:
	Exercises 14.1 and 15.1.

07. Due Thursday, February 23:
	Exercises 12.2 and 13.2.

06. Due Thursday, February 16:
	Exercises 10.3 and 11.2.

05. Due Thursday, February 9:
	Exercises 8.1 and 9.1(a,b).

04. Due Thursday, February 2:
	Exercises 6.3 and 7.3.

03. Due Thursday, January 26:
	Exercises 4.2 and 4.3.

02. Due Thursday, January 19:
	Exercises 3.2 and 3.4.

01. Due Thursday, January 12:
	Exercises 1.1 and 1.3.


Course Description: 

This is a continuation of MAT 472, Intermediate Real Analysis I. 
The focus in this course is on analysis in n-dimensional Euclidean
space, including differentiation and Lebesgue integration.
Time permitting, we will give an introduction to manifolds.

It is intended that MAT 472-473 be accessible to undergraduate
math majors, and that the course prepare them well for
graduate real analysis courses at all universities. 


Text: 

I will provide my own lecture notes for the course on this web site.  
Other potentially useful references include:

W. Rudin, Principles of mathematical analysis, 3rd ed., McGraw-Hill, 1976. 
F. Jones, Lebesgue integration on Euclidean space, Jones and Bartlett, 1993.
M. Spivak, Calculus on manifolds, Addison-Wesley, 1965.


Homework:

I will post lecture notes on this web site after each lecture, and the 
lecture notes will contain numbered homework problems.  You
should start working on these problems as soon as you can.  I will ask
that you turn in certain of these problems, roughly two per week,  each 
Thursday at the start of class.  I will let you know which problems to
turn in by the Tuesday before they are due. 

Late homework will not be accepted, but 80% of the total possible will count as 
100% in your final grade.  You are encouraged to work together with your
classmates on the homework, but you are required to write up and turn in
the problems individually.  Your solutions will be graded on
presentation as well as correctness.  Typically you will need 
to read and revise your solutions a few times before handing them in.


Exams:

We will have one midterm exam, and one comprehensive final exam,
according to the following schedule:

	Midterm Exam	Thursday, March 8, 2012, in class
	Final Exam	Tuesday, May 1, 2012, 9:50 - 11:40am, ECG G305

Both exams will be closed-book, closed-note, and non-collaborative.


Grading:

Homework problems are graded out of 6 points, as described below. Notice that a 
perfect score doesn't imply a perfect solution, and fully half credit is 
awarded simply for evidence of an honest effort. Regardless of your score, it 
should be  useful for you to compare your work with mine (if available) and 
those of other students. 

	6: Correct or basically correct 
	5: Mostly good work, with some problems 
	4: Some good work, but some fundamental problems 
	3: Honest effort is evident, but little else 
	0: No effort, bad-faith effort, trivial solution, or no work shown 

Final grades for this course will be assigned according to the following
scheme:

	Homework   	45%
	Midterm Exam 1  22%
	Final Exam   	33%


A grade of incomplete will be awarded only in the event that a documented 
emergency or illness prevents a student who is doing acceptable work from 
completing a small percentage of the course requirements. The guidelines in the 
current general ASU catalog regarding a grade of incomplete will be strictly 
followed.


Make-Up Policy:

No late homework will be accepted (the 80% rule compensates for this). 
A make-up midterm exam will be given at the instructor's discretion 
and only in the case of a verified medical or other emergency, or a 
conflicting university-sanctioned activity. When possible, the 
instructor must be notified before the exam is missed, and adequate 
documentation must be provided before the make-up will be given. Students 
participating in university-sanctioned activities need to identify themselves 
prior to missing class and provide the instructor with a copy of their travel 
schedule before arrangements will be made to make up missed work.

Exceptions to the final exam schedule and requests for make-up finals cannot be 
granted by the instructor. Please refer to the SoMSS final exam policy for 
details. 


Honor Policy:

The highest standards of academic integrity are expected of all students. The 
failure of any student to meet these standards may result in suspension or 
expulsion from the University, or other sanctions as specfied in the University 
Student Academic Integrity Policy.  Violations of academic integrity include, 
but are not limited to: cheating, fabrication, tampering, plagiarism, or 
facilitating such activities.  In particular, it is a violation to discuss an 
exam you have taken with a classmate who has not. 


Resources:

You may find the following web sites helpful:

> Learning Resource Center
> Disability Resources Center


Disclaimer:

The policies, syllabus, and assignments on these pages are subject to change; 
changes will be announced in class, or on this web site. It is recommended that 
you revisit this web site often to keep abreast of changes. Remember that you 
may need to reload a page in your browser to see the most recent version.


Last Modified: 
Tue Apr 17 12:59:33 MST 2012


School of Mathematics and Statistics
Arizona State University