Math
511 Intro to Analysis II
Lectures: Dimiter Vassilev, T R 11001215 HUM 424
Instructor: Dimiter Vassilev Office : Humanities Bldg, Office 447 Email: vassilev@unm.edu Phone Number: 505 277 2136
Text:
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 epsilondelta proofs, if not you might consider taking Math 401/501
instead. I expect familiarity with the real and complex numbers.
Description: Continuation of 510. Differentiation
in R^n. Inverse and implicit function theorems, integration in R^n, differential
forms and Stokes theorem.
Prerequisite: Math
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: Makeup 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 2773506. In addition, they should see CATS Counseling
and Therapy Services;
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 1522.
Final examinations May 11–16, 2009.