Spring 2016 Course Syllabus - Mathematics 8042.003

Course: Mathematics 8042.003.
Course Title: Real Analysis II.
Time: TR 2:00--3:20.
Place: Wachman Hall 527.
Instructor: Mendoza, Gerardo A.
Instructor Office: Wachman Hall 618.
Instructor Email: gerardo.mendoza@temple.edu
Instructor Phone: 1-5053.
Course Web Page: http://math.temple.edu/~gmendoza/
Office Hours: by appointment.
Prerequisites: Real Analysis I or permission from instructor.
Textbook: Gerald B. Folland, Real Analysis: Modern Techniques and Their Applications, 2nd edition.
Course Goals: In addition to gaining a deep working understanding of the subject, the student is expected to be able to write clear complete proofs in the subject.
Topics Covered: This is the second semester of a two-semester course covering the basics of real analysis. Topics will include elements of functional analysis applied to spaces of $C^k$ functions and to $L^p$ spaces, interpolation theorems in $L^p$, the Fourier transform, and an initroduction to distribution theory with some applications to partial differential equation. Concepts in topology will be presented as needed.
Course Grading: Homework will be given frequently. The final grade will be based on the homework, the tests and a final examination.
Exam Dates: Tentative dates for partial exams: Partial exams on February 16 and March 29. Final exam following the general university schedule.
Attendance Policy: Attendance is required. Missing four classes implies a failing grade.

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