Interactive Mathematics: Foundations
We are working on solutions for hybrid education that will take place online and on campus. Therefore the instructional modes, number of exams, the form of the exams and/or assignments may change. You will be informed through Brightspace in case of changes. The course information in the Course guide provides an indication of what you can expect in the course.
In the case of not being able to attend one or more practical courses/lab days due to corona measures, the course coordinator will decide if the student is obligated to re-take the missed meeting and how this will take place.
This 120 EC research specialisation is built up as follows:
|B.||Mathematical electives||20 EC|
|C.||Master electives||14 EC|
|D.||Master Thesis Project Mathematics||40 EC|
|E.||Master Seminar||6 EC|
|F.||Professional Preparation||1 EC|
|H.||Free electives||6 EC|
Overall, a maximum of 12 ec of third year bachelor's courses Mathematics is allowed, to be approved by the examination board.
A. Major (30 EC)
For Interactive Mathematics: Foundations the major programme consists of 30 EC chosen from the courses in the table below. Not all courses are taught every year.
|NWI-WM150 Category Theory and Homological Algebra (6 EC), semester 1
NWI-WM144 Calculus of Variations (6 EC), semester 2
|Mastermath: Differential Geometry (8 EC), semester 1
Mastermath: Algebraic Geometry 1 (8EC), semester 1
|Mastermath: Lie Groups (8 EC), semester 1
Mastermath: Lie Algebras (8 EC), semester 2
|NWI-WM094B Algebraic Topology 1 (6EC), semester 1
Mastermath: Algebraic Topology 1 (8 EC), semester 1
Mastermath: Partial Differential Equations (8 EC), semester 1
|Mastermath: Riemann Surfaces (8 EC), semester 2
Mastermath: Elliptic Curves (8EC), semester 2
|Mastermath: Operator Algebra (8 EC), semester 2
NWI-WM068C Noncommutative Geometry (6 EC), semester 2
|Mastermath: Algebraic Number Theory (8 EC), semester 1
NWI-WM139 Analytic Methods in Number Theory (6 EC)*
* not taught this academic year
Course information and schedules for the Mastermath courses may be found on the Mastermath website.
B. Mathematical electives (20 EC)
Mathematical electives are courses of choice within the field of Mathematics on Master's level. The mathematical electives need to be approved by the Examination Board.
C. Master electives (14 EC)
Master's level courses in any field within or outside of Mathematics. You can also consider courses from the societal specialisations. These electives need to be approved by the Examination Board.
D. Master Thesis Project Mathematics (40 EC)
Including a literature study, a thesis (which can be an internship report) and a graduation defense.
E. NWI-WM115C Master seminar (6 EC)
F. NWI-NM019B Professional Preparation (1 EC)
G. Philosophy (3 EC)
One of the following courses should be completed:
- NWI-FFIL300C Philosophy of Mathematical Practice (3 EC)
- NWI-WM040B Philosophy of Mathematics (3 EC) not taught in 2020/2021
H. Free electives (6 EC)
Free electives are any courses, not necessarily within the field of Mathematics.