__Math 140A.
Elementary Analysis____
(Winter 2009)__

Room:
MSTB 124

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 **

Email: asgor(at)math.uci.edu

Phone: (949) 824-1381

Office Location: 510G Rowland Hall

Office Hours: Wednesday 10-11am, or by appointment.

**
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)