Math 511 Intro to Analysis II     

Lectures: Dimiter Vassilev, T R 1100-1215    HUM 424




Instructor: Dimiter Vassilev     Office :  Humanities Bldg, Office 447  Email:  Phone Number: 505 277 2136


Office Hours: TTh 10:00-11:00,  13:30-14:00  or by appointment.


Final Exam: Tuesday, May 12 12:30–2:30 p.m.


Students having conflicts with this examination schedule must notify the appropriate instructor before Friday, November 14, 2008. Any student having more than three examinations scheduled in any one day may notify the instructor of the last examination listed. If notified before November 14, 2008, the instructor shall make arrangements to give a special examination. Conflicts arising as a result of scheduling out of normal hours-pattern or day sequences must be resolved by the instructor of the off-pattern courses.        



Text: W. Rudin, Principles of Mathematical  Analysis.


Please note the following guidelines for the course:


Course content: This is a first graduate course on Analysis. It is also the course that prepares graduate students for the Real Analysis Qualifying. Students should have at this point enough computational background (calculus of one variable and multivariable calculus -at least 2 and 3 variables), and I expect most of you to have been exposed at least once to rigorous epsilon-delta proofs, if not you might consider taking Math 401/501 instead. I expect familiarity with the real and complex numbers.

Continuation of 510. Differentiation in R^n. Inverse and implicit function theorems, integration in R^n, differential forms and Stokes theorem.


Prerequisite: Math 510.


Grades: The final grade will be determined by homework (25%), one midterms( 25%) and a final exam (50%). 


Homework:  Homework is due every Thursday. There will be one weekly homework. You can work together on the homework, but you do need to write up your own solutions in your own words. To help the grader, please write your solutions up neatly and clearly (no points for work that the reader cannot follow- this is true for exams), and staple the sheets.   The two lowest homework grades will be dropped. Please no late homework!  Problems from past real Analysis Qualifying exams will be weaved into the homework, hopefully by the end of the course you will have built a folder with solutions to most of those problems for future reference.


Missed Exams:  Make-up exams can be arranged for exams missed with a VALID excuse (illness, family emergency, active participation in scholarly or athletic activities), and ONLY if prior notice is given. 


Disability Statement: We will accommodate students with documented disabilities. During the first two weeks of the semester, those students should inform the instructor of their particular needs and they should also contact Accessibility Services in Mesa Vista Hall, Room 2021, phone 277-3506.  In addition, they should see CATS- Counseling and Therapy Services; Student Health Center (277-4537). (They can help if you suffer from exam anxiety).    



                                             Math 510 Syllabus  Fall  2008  (please check after class as advanced postings of homework could change)

 Week of

Topics Covered

Due Homework - turn in Thursday following week. Work on Past Analysis Qualifying Exams

Jan. 19


assigned in class
Jan. 26 Power series assigned in class
Feb. 2    

May 11

Final Exam: Tuesday, May 12 12:30–2:30 p.m.





Spring Recess March 15-22.

Final examinations May 11–16, 2009.