Office Hours:  Held in Krieger 313.
Thurs. 10:00am - 12:00m, or by appointment.
Office Phone: (410) 516-7406
Email: mikeg@math.jhu.edu

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

Our goal is to covere the first half of this book (Chapters 1-11), with some exceptions and amendments. Major topics to be addressed are likely to include:

• Construction of real numbers. Countable vs. uncountable sets.
• Topology of metric spaces, normed vector spaces. Open and closed sets, sequences and limits.
• Bounded linear transformations. The derivative as a linear transformation.
• Properties of compact metric spaces. The Heine-Borel Theorem. The Bolzano-Weierstrass Theorem.
• Continuous functions, connectedness and completeness. Contraction Mapping Principle and applications. Inverse and Implicit function theorems.
• Baire category theorem.
• Sequences and series of functions. Uniform convergence. The Arzela-Ascoli theorem. The Weierstrass approximation theorem.
  

Homework: The course syllabus and a list of homework assignments will be posted here.

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

Grading:   40% Homework,   20% Midterm Exam,   40% Final Exam.

Exam Dates:   Midterm in class on Wednesday, Oct. 15.

Take-home Final:   Due in my office by 5:00pm on Monday, Dec. 15.

Please Note: The final exam will most likely 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.

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.

Exam Policies: Missed midterm exams will not be made up unless there is a compelling reason for your absence. If you wish to claim a medical exception, I must receive written confirmation of the severity of your illness, and preferably a letter from the Dean's office requesting special consideration.

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.

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).