Didactic Principles
 We teach pure mathematics in modern high level applied
contexts.
Examples: Clean discussion of Linear Algebra embedded into
ubiquitous linearization techniques in applications; integral
transforms and communications engineering; probability theory and
finance; Hilbert space methods and finite elements in computational
engineering.
 “Top down” trumps “bottom up”!
Although much of the historical development of mathematics was driven
by the desire to build theories bottom up from first principles, this
is not a useful didactical concept, not does it reflect the way most
research mathematicians work.
 Learn by immersion:
It is important to learn by discussing mathematics on a formalized
regular basis with an active mathematician. This is very analogous to
study at a music conservatory. Lectures augment this, not vice versa.
 Learn to interact:
Discuss with mathematicians and those who apply mathematics alike.
Appreciate the complexity of mathematics in the real world, and
understand that math is everywhere!
Jacobs University  small and focused
 Small classes:
Each year, about 20 students will be studying mathematics at
Jacobs University. This allows for and oneonone interaction with
faculty, focused
study, early research, and a holistic development of mathematical and
personal skills.
 Interdisciplinary spirit:
At Jacobs, there is a lot of mathematics and mathematical modeling
across campus. Links are close and personal between faculty,
students, and research staff in different fields that work together on common
goals.
 We care about each and everyone:
Students at Jacobs are are known personally to faculty. Individuals
can and will get help to develop special interests, but also in time
of special needs.
Overall goals
 Graduates who think clearly, formulate cleanly and present well.
 Graduates with the ability to figure out what is known, what is
not known and what is the problem.
 Graduates who are confident in aquiring, understanding, und
organizing information.


A session of Analysis II in Spring 2014.
Old and new technology.
Prof. Ivan Penkov is discussing with students in the Mathematics
Lounge.
Students on the campus green.
