COURSE:   Introduction to Real Analysis,        M361K  #92385,  Summer 2012
------    MTWThF 10-11:30am                  class attendance is mandatory!

PREREQUISITES: Two of M341,328K,325K with a grade of at least C. Except ...
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TEXT:     R. Bartle, D.R. Sherbert, "Introduction to Real Analysis", 4th ed
----      and the notes posted here

SYLLABUS:  sets, functions, Mathematical induction          (approx 2 days)
--------   real numbers, sup, inf, completeness, open sets  (approx 2 days)
           sequences, limits, subsequences, Cauchy seq      (approx 4 days)
           limit of functions, limit theorems, extensions   (approx 3 days)
           continuous functions, uniform cont, inverses     (approx 4 days)
           differentiation, mean value thm, Taylor thm      (approx 4 days)
           Riemann integral, integration, fundamental thm   (approx 4 days)

INSTRUCTOR: Hans Koch, Office Hours Mon and Thu 12:30-2:30, RLM 12.152
----------                                                     | 93 -100 A
                                                               | 89 - 92 A-
GRADING:  Letter grades  (A,A-,B+,...,D-,F)  will be given for | 85 - 88 B+
-------   each exam, but number grades  (100,99,..,2,1,0) will | 81 - 84 B
          be kept for averaging.  The course grade is obtained | 77 - 80 B-
          by averaging the number grades of the 3 exams and of | 73 - 76 C+
          the homework.                                        | 69 - 72 C
                                                               | 65 - 68 C-
HOMEWORK will be assigned every Tue and Fri, and collected     | 61 - 64 D+
-------- in class the following Fri and Tue, respectively.     | 57 - 60 D
         One homework score can be dropped, and the others     | 53 - 56 D-
         contribute 10% to the class grade.                    |  0 - 52 F

EXAMS:  Two 70 minute in-class (Exam 1, Exam 2)  | Exam 1 (Fri Jul 20)  30%
-----   and a 3 hour final  (Exam 3, 9-12 noon)  | Exam 2 (Tue Jul 31)  30%
        Exams 2,3 cover  approx 80% new and 20%  | Exam 3 (Mon Aug 13)  30%
        old material.  Make-up exams  are given  | Homework             10%
        only if a student missed an exam and can '-------------------------
        document a valid reason (an accident, illness, or legal obligation,
        whose timing  was not known  during the official  add/drop period),
        or if granted by the instructor during the official add/drop period.

MORE INFO: See the class web page http://www.ma.utexas.edu/users/koch/M361K/
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