Math 3220 §1    Foundations of Analysis   II          January 11, 2005

                TH 9:10 - 10:25 in LS 107.
        
Instructor:     A. Treibergs, JWB 224, 581­8350.
                Office Hours: 10:45-11:45 MWF (tent.) & by appt.
                E-mail: treiberg@math.utah.edu
                Homepage: http://www.math.utah.edu/~treiberg/M3221.html

Text:           William R. Wade, An Introduction to Analysis 3nd. Ed.,
                Prentice Hall, 2004.

Grading

    Homework:   To be assigned weekly.

    Midterms:   There will be three one-hour midterm exams on Feb. 3,
                Mar. 3, and Apr. 7.
            

    Final Exam: Tue., May 3, 8:00-10:00 AM. Half of the final will be
                devoted to material covered after the third midterm
                exam. The other half will be comprehensive. Students
                must take the final to pass the course.

Course grade:   Best two three midterms 30% + homework 45% + final 25%.

Withdrawals:    Last day to drop a class is Jan. 19. Last day to add a
                class is Jan. 24. Until Feb. 4 you can withdraw from
                the class with no approval at all. After that date you
                must petition your dean's office to be allowed to
                withdraw.

ADA:            The Americans with Disability Act requires that
                reasonable accommodations be provided for students
                with cognitive, systemic, learning and psychiatric
                disabilities. Please contact me at the beginning of
                the quarter to discuss any such accommodations you
                may require for this course.

                                  *  *  *

Objectives:     To refine our skill at proof, to gain an appreciation
                abstraction from the concepts of topology and metric
                spaces, to hone our facility with multidimensional
                calculus.
 
Topics:         We shall try to cover the following chapters
        
        Chapter  6.     Infinite Series.
        Chapter  7.     Infinite Series of Functions.
        Chapter  8.     Algebra and Topology of Euclidean Spaces
        Chapter  9.     Limits, Continuity, Compacta of n-space
        Chapter 10.     Topology of n-space as a metric space
        Chapter 11.     Differentiability of vector functions.
        Chapter 12.     Integration in n-variables