Faculty of Mathematics and Physics

Functional Analysis 1

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 (including overview of results)


Content of the lectures and classes


Conditions from exams


Overview of exam results

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:

  • A “difficult theorem” (30 points) - statement and proof of a given theorem.
  • Two “easy theorems” (30 points) - statement and proof of two given theorems. One can get at most 15 points for each of them.
  • A “problem” (30 points) - solution of a given problem.

5. The list of the relevant theorems for exam questions is 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.

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 “problem” in a set of questions may be an excercise to compute something, an exercise concerning application of some theorems or one of several questions testing the understanding to the notions and theorems.

8. The dates of examps are announced in SIS, where the students should register.