Math 3210 - 2   Foundations of Analysis I               January 10, 2014

                M, T, W, F, 11:50 AM - 12:40 PM  in NS 205.

Homepage:       http://www.math.utah.edu/~treiberg/M3215.html
        

Instructor:     A. Treibergs, JWB 224, 581 - ­8350.
                Office Hours: M, T, F 12:55 - 1:45 PM (tent.) & by appt.
                E-mail: treiberg@math.utah.edu

Prerequisites:  "C" or better in (MATH 2210 OR MATH 1260 OR MATH 1280) 
                AND (MATH 2200 OR MATH 2270 OR MATH 2250)

Texts:          Joseph L. Taylor, Foundations of Analysis, American
                Mathematical Society, Providence 2012.
                ISBN 978-0-8218-8984-8
 
Grading

    Homework:   To be assigned weekly. 

                Homework will be due Fridays and will be collected in
                class. Papers turned into the grader, Joshua Keeler's
                mailbox in the math mail room (JWB 228) by 2:50 PM Fridays 
                before he 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:   Exams will be open book. You will be allowed to bring the
                text, your notes and homework papers. No calculators,
                laptops, tablets, phones, text messaging devices, or other 
                books will be allowed.

       Midterms:   There will be three in-class one-hour midterm exams 
                   on Wednesdays Jan. 29, Feb. 26 and Apr. 2.  

       Final Exam: Fri., Apr. 25, 10:30 AM - 12:30 PM. 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 Jan. 15. Last day to register 
                is Jan. 21. Until Feb. 28 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 - Review Sets, Logic, Quantifiers, Functions. 
     Chapter 1 - The Real Numbers 
     Chapter 2 - Sequences
     Chapter 3 - Continuous Functions
     Chapter 4 - The Derivative
     Chapter 5 - The Integral
     Chapter 6 - Infinite Series