Exam Rules#
The course assessment is based on two components:
A written exam (weight: 4/5)
A group project with a written test and an oral presentation (weight: 1/5)
Both of these two components are assessed, and a final grade is awarded based on an overall evaluation according to the above weighting. Note that homework assignments and Theme exercises do not contribute towards the course grade.
Curriculum#
The curriculum consists of:
All chapters (except Sections 2.10 and 7.5 as well as the last 4 pages of Section 7.2 (after “The surface integral”)) in the textbook, Mathematics 1b: Functions of several variables, by Ole Christensen and Jakob Lemvig, 2nd edition, 2026.
All exercises and assignments: Homework assignments, Theme exercises, and weekly exercises.
All SymPy/Python demos (except demo 11 and the last section “Surface Integrals” in demo 9).
The supplementary notes by Jens Gravesen are not part of the curriculum. The group project is not part of the syllabus for the 4-hour written exam.
The Project Period#
The project period concludes in an oral presentation and an individual written 1-hour test covering your project’s core topics. The project is assessed based on these elements and accounts for 20% of the final course grade. Note that participating in and passing the project is not mandatory.
The Written Exam#
On the ordinary examination day, a 4-hour written test is administered. It consists of two parts that both are handed out at the start of the exam:
One part is a multiple-choice (MC) test, where answers must be given without intermediate calculations and without further explanations. The test consists of questions with a number of answer options, of which only one is correct.
The other part is a set of problems that are to be be answered with all reasoning and argumentation. All answers must be justified, and references should be to relevant theorems in the textbook.
Notes and textbooks are allowed in non-electronic versions during the entire test.
The two parts weigh equally in the evaluation. Any bonus points are added on top of the total score.
Reexam#
A reexam takes place in August. Bonus points and the project grade can be carried forward to the reexam.