Zorn Understanding Real Analysis Homework

MAT 550 (Real Analysis II), Spring 2015

Instructor

Contact

    malik.younsi@stonybrook.edu

Lecture

    TuTh 10:00am-11:20am, Math Tower 4-130.

Office hours

    Tuesdays 8:30 - 10:00, Thursdays 8:30 - 10:00, and by appointment. Math Tower 4-118.

Special Announcements

  • There will be a make up class on Friday April 17, 11:00-12:20 in 4-130.

Syllabus

Homeworks

  • Homework 1 (due in class February 5, 2015). Solution
  • Homework 2 (due in class February 12, 2015). Solution
  • Homework 3 (due in class February 19, 2015). Solution
  • Homework 4 (due in class February 26, 2015). Solution
  • Homework 5 (due in class March 5, 2015). Solution
  • Homework 6 : Read the first three sections of these notes (courtesy of Dror Varolin).
  • Homework 7 (due in class April 16, 2015). Solution
  • Homework 8 (due in class April 23, 2015). Solution
  • Homework 9 (due in class April 30, 2015). Solution
  • Homework 10. Solution
  • Exams

  • Midterm Exam. Solution
  • Final Exam. Solution
  • Final Grades

  • Final Grades.
  • Link to previous course : Real Analysis I

    MATH-370 ADVANCED CALCULUS

    Fall 2013-2014
    8:00-9:05 MWF  Hirt U306

    LEARNING OUTCOMES

    The mathematics major learning outcomes for this course are listed below.  The method of assessment is exams, including the final exam and homework assignments.
    1. Read mathematics;
    2. Write mathematics correctly;
    3. Prove mathematical statements.

    COURSE OBJECTIVES:

    To investigate the fundamental concepts of analysis for real functions of a single variable, including
    1. Properties of Real Numbers - Prove properties about the reals and completeness of the reals.
    2. Sequences and Series - Prove convergence and divergence of a sequence.
    3. Continuity and Limits - Prove convergence and divergence of limits using the ϵ-δ definition.
    4. Differentiation - Identify and prove basic facts about derivatives and their properties.
    5. Integration -  Define the Riemann Integral and use the definition to compute integral values in elementary cases.

    CONTENT:

    The chapters and sections I hope to cover are given below. The estimated time for each is also given. This is not an absolute schedule. Covering fewer topics, but with a better understanding of the real analysis is an acceptable goal.
    Chapters and SectionsDays
    1.8, 1.9, 2.45
    Chapter 3, 4 sections9
    Chapter 4, 4 sections11.5
    Chapter 5, 4 sections11.5

    COURSE FORMAT:

    The main technique used will be lectures. At the beginning of each class I will ask if there are questions from the previous lecture. I encourage you to ask questions as they arise during the class. If you are unable to have your questions answered in class, then see me outside of class. You are welcome to drop in anytime I am in the office or Old Main computer labs.

    HOMEWORK:

    Homework will be assigned daily and due at the beginning of the second class day after it was assigned. No homework will be accepted at times other than the due time except with a prior valid excuse or under extremely extenuating circumstances. All homework must be done on 8.5 by 11 inches paper only with straight edges. Do not turn in homework torn from a spiral notebook without trimming the ragged edges! Problems must be numbered. try to be organized and neat as possible. You may not use red ink or red pencil. Any homework turned in that does not comply with these conditions will be ignored.

    COURSE GRADE:

    The homework will be scaled at the end of the term so that perfect homework total is worth 100 points. There will be three class exams (tentative dates are; Sept 30, Oct.30 and Nov. 27 and a comprehensive final exam Dec. 11,8:30 AM - 10:30 AM. Each exam is worth 100 points and the final is worth 120 points. Your final grade will be assigned by taking your total accumulated points, dividing by total number of possible points (520)and multiplying by 100%, wherever this resultant fits in the table that is your final letter grade.

    Each class exam (not the final) will consist of an “in class” and a “take home” part. For the “take home” you can get help from your book, notes, and texts in the library or the internet. No discussing or getting help from you fellow students or faculty. No asking the question on the internet. This is an honor system method, any evidence of not following the rules means a zero on the “take home” part.

    Although I will not formally check attendance, I do expect you to attend class. Since I do not ordinarily give make-up exams, only the most serious reason constitutes an excuse for missing an exam.


    Percent100-9089-8584-8079-7574-7069-6564-60Below 60
    GradeAB+BC+CD+DF

    DISCLAIMER:

    The schedule is tentative and can be modified at any time if needed. While every effort will be made to adhere to the syllabus, I reserve the right to amend the syllabus when deemed necessary. The student is responsible for noting of any changes, which will be announced during class periods. There is no extra credit possibility for this course on an individual basis. DO NOT ASK! If I decide to use the extra credit option it will be available for the entire class.

    CLASS EXPECTATIONS:

    • Attend class prepared, be ready to hand in homework and be ready to work.
    • If you miss a class you are responsible for the material covered. I will not re-teach the material during office hours or another class.
    • You may use a calculator, unless I explicitly say you can not.
    • If appropriate, a laptop, mobile device or computer may be used for note taking or for use of an e-book, however I may ask you to move to a less disruptive location. Other uses of such devices is prohibited.
    • No laptop, mobile device or personal computer may be used during exams.
    The following class room behaviors are not acceptable at the University, and will not be tolerated.
    • Attending class late or leaving class and returning. If you leave do not return!
    • Cell phone usage / texting / usage of a recreational electronic device / internet usage.Turn them off!
    • Usage of laptop or mobile device for non-classroom activity.
    • Reading outside material (Merciad, magazines, etc.)
    • Sleeping or disruptive behavior
    • General disrespect to students or faculty

    Last Updated August 22, 2013 @ 8:00 am.

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