MATS4300 Analysis and X-ray tomography

• Course information in Sisu
• Lecturer: Joonas Ilmavirta (firstname.lastname@jyu.fi, MaD310)
• Exercise instructor: Ashwin Tarikere (ashwin.a.tarikere-ashok-kumar-nag@jyu.fi)
• Second quarter, spring 2025
• Lectures at MaD245, exercises at MaD381

Course material

The course is based on lecture notes. Exercises are included in the notes; there are no separate exercise sheets.

• zeroth version (exercises and numbering subject to change; the version on arXiv prior to the course)
• first version (March 16, with correct and final exercises)
• second version (March 24, with fixes mostly to sections 1–3)

Completing the course

The course is completed by solving a sufficient amount of exercises and returning them at the end of the course. Each exercise is graded (0–2 points) and the course grade is calculated from the total points. The exercises must be returned to Ashwin (by email, in person, or in any other way agreed with him) by Wednesday, May 28, 2025. Later dates are possible, but this will delay grading significantly, and you should contact the instructor for details. Electronic submissions are preferred.

In addition to the normal points from exercises, one can earn bonus points:

• 3 points: Exercises neatly typeset by LaTeX and returned by email. (Pictures can be hand-drawn, scanned and in a separate file.)
• Varying: Bonus exercises in the lecture notes. An answer to a bonus exercise is worth 0–5 points, depending on the question and the answer.

There are a total of 173 exercises (excluding bonuses) in the first version of the lecture notes, so 346 points are available. The limits for grades are as follows:

• 1: at least 173 points
• 2: at least 207 points
• 3: at least 242 points
• 4: at least 276 points
• 5: at least 311 points

The limits can be decreased if adjustment is needed. They will not be increased. If more exercises are published, there is more to choose from but the limits will remain.

The weekly exercise sessions are a forum to discuss the problems and verify the answers. The solutions are not graded in or before the exercise sessions.

Each section ends in a question asking about confusing points, feedback, or any related questions. Mentioning one smaller thing gives one point, mentioning two or more things or something more substantial gives two points. You can also use questions you asked during the lecture. The answers to these special exercise problems must be given to the instructor at or before the relevant exercise session in writing. Email is also fine. This ensures that any confusions can be cleared quickly. You can also include them in the final returned exercise set; it will help keep everything one place but will not affect grading.

Attendance has no effect on grading. The weekly compulsory exercises (see above) are included in the grade.

Schedule

There will be lectures and exercises as indicated in Sisu, with the exception that Monday lectures start a 4 o'clock sharp. No separate exercise sheets will be given; the problems are contained in the notes.

For all values of N, lecture N will cover section N in the notes. Similarly, the Nth exercise session will cover sections 2N-1 and 2N.