Administrative Matters
The final grade in the course will be calculated as follows:
Final Exam: 70%,
Mid Term Test: 30% (``magen'' with respect to the final exam).
We will be using some material from linear algebra. We expect that
either
the students have passed Algebra 1 (201-1-7011) and are taking Algebra
2 (201-1-7021) this semester,
or
the students are taking Introduction to Linear Algebra A (201-1-9041)
this semester.
Students who do not fulfill these requirements should contact their lecturer immediately to check whether they can study the course.
Lecturers:
Prof. Abraham Feintuch
(phone: 08-6461613)
Wednesday 10:00-12:00.
Prof. Vladimir
Gol'dshtein
(phone: 08-6461620)
TBA.
Prof. Victor Vinnikov
(phone: 08-6461618)
Sunday 16:00-17:00, Tuesday 16:00-17:00.
(Please use English rather than Hebrew when emailing us;
we do not necessarily have Hebrew fonts at hand.)
Teaching Assistants:
Ms. M. Cohen
Monday 18:00-20:00 (Room 125, Building 58).
Mr. Lior Fishman
Monday 16:00-17:00, Tuesday 15:30-16:30 (Room 311, Building 58).
Mr. Daniel Kitrosar
Wednesday 16:30-18:30 (Room 109, Building 58).
Mr. Andrey Melnikov
Monday 12:00-13:00, Tuesday 12:00-13:00 (Room 311, Building 58).
The midterm test will take place on Friday, July 11.
Topics: definite integral (including improper integrals), infinite series,
sequence and series of functions and uniform convergence (including
power series) - homework assignments 1 through 8.
Duration: 2 hours. You will have to choose 4 problems out of 5, each problem
being worth 25 credit points. 2 out of 5 problems will be taken from homework
assignments.
You are allowed to bring with you to the exam one standard
size (A4) sheet, two sided, of summaries of your own free choice
(formulae, main defintions and theorems, etc).
The final exam will cover the entire material of the course (including the material that was covered in the midterm test).
You will have to choose 5 problems out of 6, each problem
being worth 20 credit points. 1 out of 5 problems will be taken from homework
assignments.
You are allowed to bring with you to the exam one standard
size (A4) sheet, two sided, of summaries of your own free choice
(formulae, main defintions and theorems, etc).
Moed Aleph - Questionnaire
Moed Aleph - Solutions
(for a solution to Problem 6, see Solutions to Homework Assignment No.
11, Problem 8; notice that instead of testing the positivity of the
principal minors of the Hessian matrix, you could calculate the
characteristic polynomial and test the positivity of the
eigenvalues).
Homework Assignment No. 1.
Solutions.
Homework Assignment No. 2.
Notice: there is a mistake in Problem 9 - the function is monotone DECREASING
rather than INCREASING.
Solutions.
Homework Assignment No. 3.
Notice: there is a mistake in Problem 9 - it should be c=(a^2-b^2)^1/2
(NOT c=(a^2+b^2)^1/2).
Solutions.
Homework Assignment No. 4.
Notice: there is a mistake in Problem 5b - it should be c_n <= 0 (NOT
c_n >= 0).
Notice: in Problem 8, a_n should be all non-negative.
Solutions.
Notice: the first two lines on p. 26 (before the solution of Problem 7) are
spurious and should not be there.
Homework Assignment No. 5.
Solutions.
Homework Assignment No. 6.
Solutions.
Homework Assignment No. 7.
Notice: in Problem 2, the exponent of (1-x) should be n, not 4.
Notice: Problem 3 is wrong. Replace with the following:
Define f_n(x) = x^2 + 1/n sin n(x + pi/2).
Show that f_n(x) tends to x^2 uniformly on R, but f_n'(x) does not tend to 2x.
Notice: in Problem 7, the sum (in the definition of f_n(x)) should be k=1 to n
(NOT k=n to infinity).
Solutions.
Homework Assignment No. 8.
Notice: in Problem 2b, the sum should be of a_k (x - 1/2)^2k.
Notice: disregard Problem 3a.
Solutions.
Homework Assignment No. 9.
Solutions.
Homework Assignment No. 10.
Solutions.