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MATH 4036, Measure Theory fall semester 2015

Course outline

  • Lecture: Monday 5:00-6:20 PM, Wednesday 5:00-6:20 PM, Main Campus Room A223.

  • Instructor: Ihor Stasyuk

  • Office: Room H351B

  • Phone: 474 3450 Extension 4442

  • E-mail: ihors@nipissingu.ca

  • Office hours: Tuesday 2:00-3:00 PM, Thursday 2:00-3:00 PM or by appointment.

  • Textbook:
    "An introduction to measure theory"
    by Terence Tao

    The textbook is free to download at
    https://terrytao.files.wordpress.com/2011/01/measure-book1.pdf

  • Topics: The course will be based on selected material from Chapters 1-5 of the textbook.
    • Section 1.1: Prologue: The problem of measure.
    • Section 1.2: Lebesgue measure.
    • Section 1.3: The Lebesgue integral.
    • Section 1.4: Abstract measure spaces.
    • Section 1.5: Modes of convergence.

  • Examinations: The final exam for this course is take home and there will be two midterm exams. Midterm 1 will be in the middle of October and midterm 2 - in the middle of November (the dates to be announced in class).

  • Assignments: There will be several marked home assignments devoted to solving problems similar to those considered in class. No late assignments will be accepted.

  • Distribution of marks:
    assignments midterm 1 midterm 2 final exam
    35% 15% 15% 35%