Analysis I, MA 313 Spring 2009

Instructor: Daniel Groves, 538 SEO e.mail

Course webpage: http://www.math.uic.edu/~groves/teaching/2008-9/313

Required text: John Howie, Real Analysis, Springer.

Course hours: Monday - Wednesday - Friday, 12:00-12:50 PM.

Office hours:

Monday 2pm, Wednesday 2pm, Friday 10am

Grading Scheme:
Midterms (2) - 40%, Homework - 20%, Final - 40%.

Reading: There will be a syllabus updated during the semester (see Weekly Schedule below). It is wise to read the appropriate sections before the lectures.

Homework: Homework will be due weekly (at the beginning of class on the due date). No late homework will be accepted, any homework submitted after the deadline will be given zero credit. The lowest score will be dropped when calculating your grade.

Midterms: There will be two midterms each taking place during regular class hours. The dates for these will be announced shortly.

Midterm 1: In class on Friday, February 13, 2009 (noon).
The midterm will cover Chapters 1 and 2 of Howie. (You will not be examined on Dedekind cuts). There will be a review session on Wednesday, February 11, during the normal lecture time, so come prepared with questions.
  • Due to popular demand, here is a more specific set of exercises which may be useful for Midterm 1: Exercises from Howie on pages 26, 36 and 58. And of course, Homeworks 1, 3 and 4. HW2 was Dedekind cuts which is not examinable. Obviously, reviewing the lecture notes will be valuable also.

  • Here are worked solutions for midterm 1.

    Midterm 2: In class on Wednesday, April 8, 2009 (noon).
    The second midterm will cover up to the end of Chapter 4 in Howie (though not Taylor's Theorem). There will be an in-class practice midterm on Friday April 3, and a review on Monday April 6.
    There are also practice problems listed below.

  • Here is the practice midterm, and here are worked solutions.

  • Here are worked solutions to Midterm 2.

    The midterms and final exam will consist of exercises resembling the homework exercises. So doing exercises equals good exam preparation.

    The only valid excuses for missing a midterm are medical, and a letter from a doctor is required. There are no makeup exams, so if you miss a midterm (with a valid reason as above) the score from the other midterm will count for the midterm score.

    Final exam: The Final Exam will be on Tuesday, May 5 from 8am-10am in A7.

    The final will cover all of Chapters 1-4 from Howie, and also Sections 5.1-5.4, Chapter 6 and Section 7.1.

    Here is a practice final. And here are some worked solutions.

    Homework exercises:

    Note: The homework below is to be submitted for grading. It is also recommended that you attempt the exercises in Howie (not for handing in). The answers to these exercises are in the back of the book.

    • Due January 16: HW 1
    • Due January 23: HW 2. Here is a set of model solutions to HW 2. (I'm not promising there aren't typos in this set, so let me know if you find one...).
    • Due January 30: HW 3
    • Due February 6: HW 4
    • Due February 20: HW 5 (Worked solutions to HW5 here.)
    • Due February 27: HW 6 (Worked solutions to HW6 here.)
    • Due March 6: HW 7 (Worked solutions to HW7 here.)
    • Due March 13: HW 8 (Worked solutions to HW8 here.)
    • Due March 20: HW 9 (Worked solutions to HW9 here.)
    • Spring break practice problems here. (Not to be handed in for grading, just for your own edification.) (Worked solutions to Spring Break Problems here.)
    • Due April 17: HW 10 (Worked solutions to HW10 here.)
    • Due April 24: HW 11 (Worked solutions to HW11 here.)