Math 3210 - 2   Foundations of Analysis I        September 8, 2009

                M, T, W, F, 8:35 - 9:25 AM  in LCB 215.

Homepage:       http://www.math.utah.edu/~treiberg/M3213.html
        

Instructor:     A. Treibergs, JWB 224, 581 - ­8350.
                Office Hours: 9:40-10:30 MWF (tent.) & by appt.
                E-mail: treiberg@math.utah.edu

TA:             Veronika Ertl, LCB 4th floor loft, 581 - 7653.
                Office Hours: 4:00 - 5:00 Mondays & by appt.
                E-mail: ertl@math.utah.edu


Texts:          Joseph L. Taylor, "Foundations of Analysis," (2007)
                PDF Notes available for download from
                http://www.math.utah.edu/~taylor/foundations.html
                Anne Roberts, "Basic Logic Concepts," (2005)
		http://www.math.utah.edu/%7Earoberts/M3210-1d.pdf


Grading

    Homework:   To be assigned weekly. 

                Homework will be due Fridays and will be collected in
                class. Papers turned into the grader's mailbox in the
                math mail room (JWB 228) by 4:00 PM Fridays before the
                grader leaves will be regarded as being turned in on
                time. Homework that is late but not more than one week 
                late will receive half credit. Homework that is more
                than one week late will receive no credit at all.

       Exams:   On exams, you will be allowed to bring a "cheat sheet,"
                a single 8.5" x 11" page of notes. Exams will
                otherwise be closed book: no calculators, laptops, text
                messengers, other notes or books will be allowed.

       Midterms:   There will be three in-class one-hour midterm exams 
                   on Wednesdays Sept. 16, Oct. 7 and Nov. 11.  

       Final Exam: Wed., Dec. 16, 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 of three midterms 40% + HW 30% + final 30%.


Withdrawals:    Last day to drop class is Sept.2. Last day to register 
                is Sep. 8. Until Oct. 23 you can withdraw from 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 cover the theory of one variable calculus and to
                train the student in essentials of the professional
                mathematician: logic, proof and how to write a
                mathematical argument.   

 
Topics:         We shall try to cover the following chapters

     Chapter 0 - Sets, Logic, Quantifiers, Functions. (Roberts' notes.)
     Chapter 1 - The Real Numbers (Taylor's manuscript.)
     Chapter 2 - Sequences
     Chapter 3 - Continuous Functions
     Chapter 4 - The Derivative
     Chapter 5 - The Integral
     Chapter 6 - Infinite Series