Math 140A. Elementary Analysis (Winter 2009)
Day & time: M W F 11:00am to 11:50am
Midterms: January 26 and February 23.
Final Exam: Friday, March 20, 8:00-10:00am
Teaching Assistant: Shabnam
Moobedmehdiabadi
Email: smoobedm(at)uci.edu
Office Location: 518 RH
Office Hours: Tuesday 9:30-10:30 am
Required text: Kenneth A. Ross, "Elementary Analysis: The Theory of Calculus"
Recommended texts: W. Rudin, "Principles of Mathematical Analysis", and N. L. Carothers, "Real Analysis".
Grading: Homework assignments 30%, midterm exams 30% (15% each), final exam 40%.
Students interested in graduate school in mathematics: Students thinking about going to graduate school in mathematics are strongly encouraged to take the UCI beginning level graduate course in Real Analysis (Math 205) while still an undergraduate student. Approval may be needed to register for this course, but the department definitely supports advanced undergraduates taking this course. Taking the 140A (and possibly 140B) course should be adequate preparation for the 205 course. Note the graduate course sequence only begins in the Fall, so make sure you plan accordingly. Note that there is a similar beginning level graduate course in Abstract Algebra (Math 206) in which students interested in graduate school are encouraged to enroll. This sequence also starts only in the Fall quarter.
Homework 1 (due Thursday, January 15): Exercises 1.5, 1.7, 1.11, 2.3, 2.5, 3.1, 3.3.
Homework 2 (due Thursday, January 22): Exercises 4.1, 4.2, 4.3, 4.4, 5.1, 5.2, 5.3, 6.3, 6.5, 7.3.
Homework 3 (due Thursday, February 5): Exercises 8.2, 8.4, 8.8, 9.5, 9.11, 9.17, 10.1.
Homework 4 (due Thursday, February 12): Exercises 10.6, 10.7, 10.8, 10.9, 11.2, 11.3, 11.4.
Homework 5 (due Thursday, February 19): Exercises 11.10, 13.1, 13.3, 13.7, 13.9, 13.11, 13.13.
Midterm 2 (SAMPLE) Midterm 2 (Sample, with answers)
Homework 6 (due Thursday, March 5): Exercises 14.1, 14.2, 14.3, 14.4, 14.6, 14.7, 14.12, 15.3.
Homework 7 (due Thursday, March 12): Exercises 17.2, 17.5, 18.4, 18.6, 18.7, 18.9, 18.10, 19.2, 19.3.
Final exam (SAMPLE), Answers and hints
Interactive Real Analysis (by Bert G. Wachsmuth and Paul Golba)
Analysis WebNotes (by John Lindsay Orr)
A First Analysis Course (by John O'Connor)