MATHEMATICAL ANALYSIS I - 20090

Ecco una traduzione naturale e adatta a un syllabus universitario in inglese.

The purpose of the examination is to assess whether students have achieved the intended learning outcomes of the course. In particular, it evaluates:

• mastery of the methods and techniques developed during the course;
• understanding of their theoretical foundations;
• appropriate use of mathematical language.

Only students who have fulfilled the Mathematics OFA are eligible to take the Mathematical Analysis 1 examination.

The examination consists of a written test and an oral examination, both of which are compulsory. Each part includes both theoretical questions and problem-solving exercises.

The written test is held first, lasts 2 hours, and consists of 2 or 3 exercises and 2 or 3 theoretical questions. Both the exercises and the theoretical questions concern the fundamental topics covered in the course. The theoretical questions may involve definitions, examples, theorem statements, and proofs. Relevance of the answer, ability to present the material concisely, and appropriate mathematical language are also taken into account. The score assigned to each exercise and each theoretical question is specified at the beginning of the examination. The maximum score for the written test is 32 points.

Students are admitted to the oral examination only if they obtain a minimum score of 15/32 on the written test. If the written test score is below 15/32, that score becomes the final examination grade and will be officially recorded.

During the oral examination, students may be asked to solve exercises (including exercises on prerequisite material) and to discuss theoretical topics. The assessment of the oral examination takes into account the performance in the written test and does not receive a separate numerical grade. The final grade is determined and officially recorded after the oral examination.

Students who obtain a score of 5/32 or lower on the written test (and are therefore not admitted to the oral examination), or whose overall assessment after the oral examination is 5/32 or lower, are not allowed to take the immediately following examination session.

Students enrolled in the first year during the current academic year may replace the written test with two midterm tests. Students who have not yet fulfilled the Mathematics OFA are also allowed to take both midterm tests. The first midterm is held halfway through the course, during the period designated for midterm examinations, and covers the first half of the syllabus. The second midterm is held after the end of the course, during the designated midterm examination period, and covers the second half of the syllabus, including the prerequisite material from the first half. Both midterm tests follow the same format as the official written examination. Students are admitted to the second midterm only if they obtain at least 15/32 on the first one.

For the first winter examination session, students who have passed both midterm tests must register for the examination through the online registration system. They may choose either to take only the oral examination or to take both the written and the oral examinations. If they choose to take the written examination, the results of the two midterm tests are cancelled. The oral examination for students who have passed both midterms covers the entire course syllabus.

No penalty applies to students who obtain a score of 5/32 or lower in a midterm test with respect to eligibility for the immediately following examination session.