Spring 2014 Course Syllabus:  Math 745

Course Title:	Mathematical Analysis II
Textbook:	E. H. Lieb and M. Loss, Analysis, 2nd edition, AMS Other texts: G. B. Folland, Real Analysis: Modern Techniques and Their Applications”, 2nd edition, John Wiley & Sons W. Rudin, Real and Complex Analysis, 3rd edition, McGraw-Hill N. V. Kolmogorov and S. V. Fomin, Introductory real analysis, Dover
Prerequisites:	Math 645 or departmental approval.
Course Description :	This is the second part of the two-semester course that introduces an application-minded student to foundations and modern techniques of real analysis. Topics covered in this course are Fourier transform, distributions, Sobolev spaces and applications to partial differential equations and eigenvalue problems.

Homework: Homework will be assigned during class times and collected every
couple of weeks. Selected problems will be graded.


Course outline:

Weeks 1-2: Fourier transform

Weeks 3-7: Distributions

Midterm: 03/13/14

Week 8: Measures as distributions and Poisson's equation

Weeks 9-12: Sobolev spaces

Weeks 13-14: Applications to eigenvalue problems

Grading Policy

Assignment Weighting
Homework/Projects	30 %
Midterm Exam I	30 %
Final Exam	40 %

Course Policies (optional)

Important Departmental and University Policies

• Academic Integrity Code is Strictly Enforced
• Prerequisites Requirements are Enforced
• Attendance is Required in Lower-Division Courses
• Exam Policies (No Make Up Exams and More)
• Cell Phone and Pager Use Prohibited in Class
• Drop Date (March 31, 2014) is Strictly Observed
• Complete DMS Course Policies (math.njit.edu/students/undergraduate/policies_math)

Prepared by Prof. Cyrill Muratov, December 23, 2013