Math 5210 - Introduction to Real
Analysis

Spring 2008

Final Exam

Instructor: Ken Bromberg

Office: JWB 303

Phone: 581-7916

Email: bromberg@math.utah.edu

Office hours: M 3:00 - 4:30, T 1:00 - 2:00 or by appointment

Prerequisites: Math 3220 or consent of instructor.

Meeting place and time: MTWF 2:00 - 2:50, LCB 121

Text: Fourier Series and Integrals, by Dym and McKean

Course description: We will begin with an introduction to the Lebesgue integral. I plan to go into more depth on this topic than is in the book. We will then cover the first two chapters in the book although I will not cover every topic in these chapters.

Homework: There will be regularly assigned homework but it will not be handed in. Instead some of the homework will reappear as questions on the quizzes and midterms.

Quizzes: There will be short quizzes every two to three weeks.

Midterms: There will be two midterms.

Final: The final will be a take-home exam and will be due on April 29.

Grades: Grades will be determined as follows

Quizzes and midterms 60%

Final 40%

For the quiz/midterm portion of your grade I will drop the lowest of your three scores. If your quiz average is lower than both your midterm scores then only the two midterms will count towards your grade. If your quiz average is higher than one of you midterm scores then only your highest midterm score and your quiz average will count with both being weighted equally. I will also drop your lowest quiz score.

Notes and homework problems:

The Riemann integral

Countable sets

Topology

Compactness

Lebesgue Measure

Lebesgue Integration

Haar Functions

From Dym and Mckean

To discuss in class on 3/12:

1.2: 1, 2, 4, 5, 8, 9, 13

1.3: 6, 7

Students with disabilities may contact the instructor at the beginning of the semester to discuss special accomodations for the course.

Instructor: Ken Bromberg

Office: JWB 303

Phone: 581-7916

Email: bromberg@math.utah.edu

Office hours: M 3:00 - 4:30, T 1:00 - 2:00 or by appointment

Prerequisites: Math 3220 or consent of instructor.

Meeting place and time: MTWF 2:00 - 2:50, LCB 121

Text: Fourier Series and Integrals, by Dym and McKean

Course description: We will begin with an introduction to the Lebesgue integral. I plan to go into more depth on this topic than is in the book. We will then cover the first two chapters in the book although I will not cover every topic in these chapters.

Homework: There will be regularly assigned homework but it will not be handed in. Instead some of the homework will reappear as questions on the quizzes and midterms.

Quizzes: There will be short quizzes every two to three weeks.

Midterms: There will be two midterms.

Final: The final will be a take-home exam and will be due on April 29.

Grades: Grades will be determined as follows

Quizzes and midterms 60%

Final 40%

For the quiz/midterm portion of your grade I will drop the lowest of your three scores. If your quiz average is lower than both your midterm scores then only the two midterms will count towards your grade. If your quiz average is higher than one of you midterm scores then only your highest midterm score and your quiz average will count with both being weighted equally. I will also drop your lowest quiz score.

Notes and homework problems:

The Riemann integral

Countable sets

Topology

Compactness

Lebesgue Measure

Lebesgue Integration

Haar Functions

From Dym and Mckean

To discuss in class on 3/12:

1.2: 1, 2, 4, 5, 8, 9, 13

1.3: 6, 7

Students with disabilities may contact the instructor at the beginning of the semester to discuss special accomodations for the course.