Spring 2007

110.416 - Honors Analysis II
MTW 1:00  // Barton 114

Michael Goldberg



Office Hours:  Held in Krieger 313.
Fri. 12:00 - 2:00pm, or by appointment.
Office Phone: (410) 516-7406
Email: mikeg@math.jhu.edu


Section: Fri. 10:30am, in Hodson 303.   The TA is Reza Seyyedali.

Textbook: Real Analysis by Neal Carothers, Cambridge University.
ISBN 978-0521497565 (paperback);   ISBN 978-0521497497 (hardcover)

Math 415 covered the first half of this book (Chapters 1-11). We will attempt to cover the second half, with some exceptions and amendments. Major topics to be addressed include:

  • Functions of bounded variation, Riemann-Stieltjes integration, Riesz representation theorem.
  • Measures, Measurable functions, and the Lebesgue integral.
  • Properties of the spaces Lp (R).
  • Fourier series.


Grading:   25% Homework,   40% Midterm Exams,   35% Final Exam.

Homework: The course syllabus and a complete list of homework assignments is available here.

Homework assignments are due in lecture on Monday. Late homeworks will not be accepted without a valid explanation in advance.

You are permitted, perhaps encouraged, to discuss homework problems with other students. This collaboration should not extend to the process of writing up solutions. The work that you turn in should be written by you, in your own words, without supervision or other well-meaning influence from anyone else.

Please Note: The final exam will be given in a take-home format. Unlike the homework assignments, active collaboration (e.g. discussing problems, reviewing the textbook and/or class notes together) is not permitted. Further instructions will be given at the end of the course, and on the exam paper itself.

Midterm Exams: In class on Tuesday, Feb. 13;   and Wednesday, April 4.

Final Exam: Take-home final due in my office by 5:00pm on Friday, May 4.

You are expected to attend class and take exams as they are scheduled. Unexcused absence from the midterm exam carries a penalty of one full letter grade reduction from your final course grade. Students who miss the final exam, without a valid and well-documented explanation will automatically fail the course.

Medical Contingencies: Missed midterm exams will not be made up; the remaining homework and final exam will be given correspondingly more weight to take up the slack. In order to do this, I must receive written confirmation of the severity of your illness, and preferably a letter from the Dean's office requesting special consideration.

The Student Health Center recently adopted new guidelines for the issuance of written Medical Excuses. Please read this memorandum for more information. A one-sentence summary is that the Health Center will now only document serious and/or prolonged illnesses for which they have actively provided treatment.

Students with disabilities requiring accommodation should notify me as soon as possible so that we can make the appropriate arrangements.

Ethics Statement: Cheating is wrong. Cheating hurts our community by undermining academic integrity, creating mistrust, and fostering unfair competition. The university will punish cheaters with failure on an assignment, failure in a course, permanent transcript notation, suspension, and/or expulsion. Offenses may be reported to medical, law, or other professional or graduate schools when a cheater applies.

Violations can include cheating on exams, plagiarism, reuse of assignments without permission, improper use of the Internet and electronic devices unauthorized collaboration, alteration of graded assignments, forgery and falsification, lying, facilitating academic dishonesty, and unfair competition. Ignorance of these rules is not an excuse.

In this course you may collaborate with other students while attempting to solve homework problems, but only under the guidelines described above. Your work on any exam, whether in class or take-home, must be entirely your own. If you are having difficulty with a particular exam question, it is permissible to ask the instructor (but no-one else) for clarification.



Feedback: You may submit comments about the course at any time using this form which is provided by the Mathematics department. Your comments are then e-mailed to the undergraduate program coordinators and to the department chair (but not to me).