Advanced Calculus II

Lecture: TR 1400-1515 DSH 229 Vassilev, D.

Instructor: Dimiter Vassilev     Office :  Humanities Bldg, Office 447  Email: vassilev@unm.edu  Phone Number: 505 277 2136

 

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

 

Final Exam: Tuesday, May 12 10:00 a.m.–12:00 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: Terence Tao, Analysis I and Analysis II

Please note the following guidelines for the course:

 

Description: Generalization of 401/501 to several variables and metric spaces: sequences, limits, compactness and continuity on metric spaces; interchange of limit operations; series, power series; partial derivatives; fixed point, implicit and inverse function theorems; multiple integrals.

 

Prerequisite: Math 401/501.


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

 

Homework:  Homework is due every Thursday. There will be one HW  weekly. 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 lowest homework grades will be dropped. Please no late homework

 

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).    

 

 

                                             Syllabus – Spring 2009  (please check after class as advanced postings of homework could change)

 

Month

Topics

Due Homework – turn in Thursday following the week of assignment.

January

 

Problems assigned in class

February

  End of Vol. I of T. Tao's book

 

Problems assigned in class

March

Notes by T. Tao http://www.math.unm.edu/~vassilev/TaoII.pdf

  • Exam 1

http://www.math.unm.edu/~vassilev/TaoIIhw.pdf

April

  • Exam 2

 

 

 

 

May 11

Final Exam: Tuesday, May 12 10:00 a.m.–12:00 p.m.

 

 

 

 

Spring Recess March 15-22.

Final examinations May 11–16, 2009.