COURSE: Introduction to Real Analysis, M361K #91915, Summer 2010 ------ PREREQUISITES: Two of M341,328K,325K with a grade of at least C. Except ... ------------- TEXT: R. Bartle, D.R. Sherbert, "Introduction to Real Analysis", 3rd ed ---- SYLLABUS: Ch. 1: sets, functions, Mathematical induction (2 days) -------- Ch. 2: real numbers, sup, inf, completeness, open sets (2 days) Ch. 3: sequences, limits, subsequences, Cauchy seq (4 days) Ch. 4: limit of functions, limit theorems, extensions (3 days) Ch. 5: continuous functions, uniform cont, inverses (4 days) Ch. 6: differentiation, mean value thm, Taylor thm (4 days) Ch. 7: Riemann integral, integration, fundamental thm (4 days) Ch. 8: sequences of functions, convergence (1 day ) INSTRUCTOR: Hans Koch, Office Hours Mon 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 (Wed Jun 16) 30% ----- and a 120 minute Final (Exam 3, 2-4 pm) | Exam 2 (Fri Jun 25) 30% Exams 2,3 cover approx 80% new and 20% | Exam 3 (Fri Jul 9) 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/ ---------