MATH 4433 -- Spring 2008

TTH, 9:00-10:15am at PHSC 225

Text book: Analysis with an introduction to proof by Steven Lay, 4th edition. We will cover up to chapter 7.

Office: PHSC1006, 50492.

Office hours: T:1:45-2:45pm; TH 1:45-3:30pm

Assignments

All section numbers refer to Analysis with an introduction to proof, 4th edition. Late homework will not be accepted.

Grading Scheme:(Check regularly )

  • Assignments and Due date
    • I do not collect your solutions of those exercise problems which I hand out or leave on blackboard.
    Homework: 20%
    Midterm: 40%
    Final Exam : 40%

  • Extra problems (I plan to collect some interesting problems here)

    • APPROXIMATE CLASS SCHEDULE (will be changed)

    All section numbers refer to Introduction to real Analysis, 3rd edition.

    WeekDate Sections Covered WeekDate Sections Covered
    1 01/14-01/18 1.1-1.3, Logic and proof. 9 03/10-03/14 4.18-4.19, Monotonicity and subsequences
    2 01/21-01/25 1.3-2.5, Proof and set theory 10 03/17-03/21 5.20-5.21, Limit for functions
    3 01/28-02/01 2.6-2.7, Set, function 11 03/24-03/28 5.22-5.23, Properties for continuous functions
    4 02/04-02/08 2.8-2.9 Cardinality and Axioms for set 12 03/31-04/04 5.23, More properties for continuous function and Midterm 2
    5 02/11-02/15 3.10-3.11, Number system and fields 13 04/07-04/11 6.25-6.26, Derivative and Mean value theorem
    6 02/18-02/22 3.12-3.13, topology 14 04/14-04/18 6.26-6.27, Properties for derivative
    7 02/25-02/29 3.14-3.15, Compactness, midterm 1 15 04/21-04/25 6.28-6.29, Taylor's theorem and integral
    8 03/03-03/07 4.16-4.17, Limit for sequence 16 04/28-05/02 6.29-6.30, Integral and review

    Policy

    You shall attend all lectures. You are responsible for all information given out during lectures. Attendance will be randomly checked.

    Academic Misconduct: All cases of academic misconduct will be reported to the Dean of the College of Arts and Sciences for adjudication in accordance with the University's established academic misconduct procedures.

    Reasonable accommodation: Any student in this course who has a disability that may prevent him or her from fully demonstrating his or her abilities should contact me personally as soon as possible so that we can discuss accommodations necessary to ensure full participation and facilitate your educational opportunities.