Administrative Matters
The FINAL GRADE in the course will be calculated as follows:
The Best Mid Term Test out of Two: 30%,
Homework Assignments: 10%,
Final Exam: 60%.
If you cannot or could not attend one of the midterms due to a justified reason
(reserve service, hospitalization, time conflict with another test),
please notify your lecturer at once.
The grade of the missing midterm will be replaced by a simple average between the grade
of the other midterm and the grade of the final exam.
The homework assignments have to be submitted in the classroom on the due date.
Lecturer:
Prof. Victor Vinnikov
(phone: 08-6461618)
Monday 15:30-17:30 (Room 103, Building 58).
Teaching Assistant:
Yonatan Yehezkeally
TBA.
Review Homework Assignment on Topology of Normed Vector Spaces, not for submission.
Homework Assignment No. 1 (complete and final version),
to be submitted on Thursday, November 15.
Submission postponed till the first class upon the resumption of studies.
Submission further postponed till Monday, December 3.
Homework Assignment No. 2 (finalized version),
Problems 1-8 and
Problems 9-12, to be submitted on Monday, December 24.
Notice: one direction of Problem 10 (A = B^T J B implies A has n_+ positive eigenvalues and n_- negative eigenvalues)
is a bonus problem; if you solve it correctly you can get extra two points in your final grade.
Homework Assignment No. 3 (finalized version),
Problems 1-11 (Extrema, Inverse and Implicit Function Theorems,
Lagrange Multipliers) and
Problems 12-20 (Manifolds), to be submitted on Monday, December 31.
Submission postponed - details will follow.
Homework Assignment No. 5, preliminary version.
The midterm tests will take place on Friday 23.11.2012, 09:00-11:00 (Room 201, Building 97) and
on Thursday 20.12.2012, 17:30-19:30 (Room 205, Building 97) - notice that the rooms can change so please
follow the official notifications / announcements of the Exams Section.
Hoping that the security situation will stabilize by then, the first midterm will take place on Friday 23.11.2012.
Material: differentiability and the differential of a function, higher order differentials, Taylor's formula,
positive definiteness and extrema.
The test will take place on Friday 30.11.2012 at 09:00.
Questionnaire and
solutions.
The second midterm will take place on Thursday 20.12.2012.
Material: inverse and implicit function theorems, manifolds, Lagrange multipliers.
Weekly Summaries of the Material.
Solutions of the final exam, moed alef.
Solutions to selected homework assignments.
Here are some of the books that I know of that cover various parts of the course:
M. Spivak: Calculus on Manifolds.
W. Rudin: Principles of Mathematical Analysis.
Satish Shirali, Harkrishan Lal Vasudeva: Multivariable Analysis.
John Hamal Hubbard, Barbara Burke Hubbard: Vector Calculus, Linear Algebra, And Differential Forms.
T. Shifrin: Multivariable Mathematics.