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 (examination has already finished)


Overview or results of examination

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 students.

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:

  • Theorem 1 (25 points) - statement and proof of a given theorem.
  • Theorem 2 (25 points) - statement and proof of a given theorem.
  • Problem 1 (25 points)- solution of a given problem.
  • Problem 2 (25 points)- solution of a given problem.

5. The list of the relevant 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 noter, 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 may be excercises to compute something, exercises concerning application of some theorems or some questions testing the understanding to the notions and 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 50 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. Based on an inquiry among students, exams are offered on June 16, on June 23 and on June 30. In case of necessity there will be one more exam in September.