Graduate education at Jacobs University is governed by the
appropriate policies. Additional program specific rules are
described below.
Every incoming graduate student is assigned an initial academic
advisor prior to coming to Jacobs University. The initial advisor
guides the graduate students through the program, monitors his or
her progress, and helps him or her select a PhD advisor.
The following study plan is the default variant for students
entering with a BSc degree. Faster progress is always possible.
Semester 
Coursework 
Research 
Additional
Information 
12 
3 courses, 1 seminar 


3 
3 courses, 1 seminar 
Preliminary work 
Qualifying exam must be
completed at the beginning of the 4th semester 
4 
1 course, 1 seminar 
PhD research proposal 
PhD proposal must be
presented by the beginning of the 5th semester 
59 
1 seminar 
PhD research 
PhD phase begins 
10 
1 seminar 
PhD dissertation 
PhD thesis must be
defended by the end of the 10th semester 
An individual course plan is prepared by every graduate student
in cooperation with his or her academic advisor and further faculty
members as appropriate. Qualified students can enter the program at
various advanced stages, depending on their qualifications. For
instance, the graduate committee may waive the qualifying
examination for students holding an MSc degree.
Students pass to the Ph.D. phase if they have received the
prescribed credits, have passed the qualifier, and have the
agreement of a faculty member to be their PhD advisor.
Course Requirements
In order to obtain a PhD or MSc degree, a student has to satisfy
the following coursework requirements (in addition to the general
Jacobs University requirements):
 For a PhD degree: graduate courses and seminars worth at least
95 ECTS credits
 For a Master's degree: graduate courses and seminars worth at
least 95 ECTS credits
 For both degrees: the courses Introductory Algebra (100 321) or
Algebra (100 421), Real Analysis (100 313), and Introductory
Complex Analysis (100 312) or Topics in Complex Analysis (100
412).
Throughout their studies, graduate students are required to take
one graduate level seminar each semester. In addition, all graduate
students are expected to regularly attend the mathematics
colloquium.
Graduate classes are 400 level courses and above; up to three
elective 300 level undergraduate courses may be counted towards the
course credit for PhD or Master's degrees.
Courses at 300 and 400 level carry 7.5 ECTS credits; advanced
graduate seminars carry 5 ETCS credits. A research proposal,
including presentation, carries 25 ECTS credits. The Master's
thesis carries 25 ECTS credits as well.
Jacobs University Bremen reserves the right to substitute
courses by replacements and/or reduce the number of
mandatories/mandatory elective courses offered.
Every graduate student working towards a PhD in mathematics must
pass a comprehensive examination in mathematics at the beginning of
the fourth semester. By the end of the third semester, the student
has to request from the coordinator of the graduate program in
mathematical sciences time and date for her or his examination.
The purpose of this examination is to manifest solid knowledge
of advanced but core material in mathematics and/or applied and
computational mathematics, to show the ability to make connections
between areas of mathematics usually taught in different courses,
and to demonstrate the potential for research in the mathematical
sciences.
Students are free to choose between two examination formats,
Mathematics or Applied and Computational Mathematics.
Both examination formats are oral, the exam takes at least 90
minutes. The material covered is described below according to
format.
 Algebra
 Real Analysis
 Complex Analysis
plus a choice of one among the following topics
 4.
 Topology
 5.
 Numerical Analysis
 6.
 Partial Differential Equations
 7.
 Mathematical Physics
 8.
 Functional Analysis
 9.
 Probability Theory
 Concepts from Algebra and Complex Analysis
 Real Analysis
 Numerical Analysis
plus a choice of one among the following topics
 4.
 Scientific Computing
 5.
 Partial Differential Equations
 6.
 Mathematical Physics
 7.
 Functional Analysis
 8.
 Probability Theory
The syllabi for all topics are presented in
Section 4. The
examination is given by three professors appointed by the graduate
committee.
Any graduate student may at any time request to work for a
Master's degree, independently of whether or not he or she
continues to work for a PhD degree.
The graduation requirements are specified by the Jacobs
University's policies; the coursework requirements are described in
Section 2.3. There is no
separate Master's examination or qualifying examination.
The following table describes a study plan for a graduate
student who has entered the program with a Bachelor's degree and
wishes to conclude his or her graduate education with a Master's
degree after four semesters.
Semester 
Coursework 
Research 
12 
3 courses and 1 seminar 

3 
3 courses and 1 seminar 
Preliminary work 
4 
1 course and 1 seminar 
Master's thesis 
