Faculty of Mathematics and Physics

Functional Analysis 2

Information in Student Information System


Organization of the course


Content of the course, expected knowledge
and connections to other courses


Recommended literature


Lecture notes


Credit requirements


Content of the lectures and classes


Conditions for exams

Conditions for exams

1. To be allowed to pass the exam, the student have to be inscribed for this course in this semester and he/she have to gain the credit in advance.

2. The exam is done in the oral form. Student randomly chooses a set of questions, he/she will prepare the answers (usually in a written form). Then he/she will explain the answers to the examiner, who will evaluate the answers and award points to the student.

3. The exam can be in Czech or in English, according to the choice of the student.

4. Each set of exam questions is composed according to the following scheme:

  • Easy theorem 1 (15 points) - statement and proof of a given theorem.
  • Easy theorem 2 (15 points) - statement and proof of a given theorem.
  • Hard theorem (30 points)- statement and proof of a given theorem.
  • Problem (30 points)- solution of a given problem.

5. The list of the relevant easy and hard theorems for exam questions is available here. In case only a part of the theorem was proved during the lectures, only that part will be explicitly tested. Anyway, if a proof of the remaing part is published at the lecture notes, students are expected to know at least a basic scheme of the relevant part of the proof.
In case the proof is very long, the examiner may choose a part of the theorem to prove. Such a choice is made after the students provides the formulation of the theorem.

6. In some cases, obvious from the context, the answer to a question on a theorem should contain definitions of necessary notions or a description of the construction of the relevant objects.

7. The problems in a set of questions will be excercises to compute something focused on applications of some theorems. To prepare to solving such problems credit problems and problems to the given chapters may be useful.

8. Evaluation of the exam: To pass the exam one needs to get at least 45 points, to get the mark 2 at least 60 points, to get the mark 1 at least 75 points.

9. The dates of exams will be announced in SIS, where the students should register. In case of necessity further dates will be offered in September.


Overall statistics

Registered students: 12

Students with recognized results: 1

A problem presented during classes by: 10

At least one homework booked by: 10

Both homeworks submitted by: 7

Credit gained by: 7

At least once tried to pass the exam: 7

Exam succesfully passed by: 7 (6 out of them at the first go, 1 at the second go)

Distribution of marks: 1 - 4 students; 3 - 3 students