## Mathematics I (JEB118), WS 2014/2015 - exams

### Information on exams

#### General rules

• The exam can be taken only by the students that are enrolled for Mathematics I in SIS and that obtained a credit for Mathematics I in the current semester.
• The exam comprises a written part and an oral part. The oral part is taken only after passing the written part.
• If the student fails an exam and has still attempts available, he/she has to repeat the whole exam, including the written part, regardless of the previous results.
• It is necessary to enrol for a particular exam using SIS.
• If a student enrolled for a particular exam does not take it, he/she can be excused only for serious reasons (e.g. health problems). In other cases the attempt is voided.

#### Rules for the written part

• The written part comprises four problems worth 60 points in total.
• Two hours are available for solving these problems.
• During the written part it is possible to use any literature (e.g. tables with formulas, textbooks, notes from lectures, etc.).
• During the written part it is forbidden to use any electronic devices (e.g. mobile phones, calculators or laptops).
• To pass the written part it is necessary to achieve at least 35 points.

#### Rules for the oral part

• The oral part generally takes place the next day after successfully passing the written part.
• The student draws a set of questions at random. He/she can then prepare the answers during 40 minutes, not using anything except writing utensils. The answers are then presented to the examiner, who will assess them. The examiner can ask additional questions.
• Each set of the questions comprises the following (APPROXIMATE point value of each question is given in brackets):
• Definition of a key notion.
• Statement of one definition and two theorems. (15)
• Statement and proof of an easier theorem. (15)
• Statement and proof of a harder theorem. (20)
• Question about relations between given statements dealing with notions we studied during the semester. (10)
• To know the the definition means to understand the defined notion and to be able to use it correctly.
• To know the theorem means to understand its assumptions and statement and also to be able to use it in concrete situations.
• To know the proof of the theorem means to be able to explain to the examiner any mathematically correct proof that uses only theorems proved or formulated during the lecture earlier, or other theorems that the student can prove.
• The knowledge of all the key notions is a necessity. If anytime during the exam the student shows a substantial lack of the knowledge of any of the key notions, he/she automatically fails the exam.
• To pass the oral part it is necessary to achieve at least 35 points.
• Approximate final result (written + oral part):
• at least 105 points ... excellent (1)
• 90-104 points ... very good (2)
• less than 90 points ... good (3)