Mathematics

The program's first year is designed to provide students with a broad-based disciplinary education that builds upon and extends their entrance qualifications. Math students must select introductory modules with a total of 45 credit points (CP) from the CHOICE area of various study programs, with 22.5 CP being their intended major.

Students can change their major at the beginning of the second year of studies if they have taken the corresponding modules of the study program in the first year of studies.

The discipline-specific CHOICE modules for Math students in their first year of study include the following:

• CHOICE Module: Analysis I (7.5 CP, Semester 1)
• CHOICE Module: Linear Algebra (7.5 CP, Semester 2)
• CHOICE Module: Applied Mathematics (7.5 CP, Semester 2)

These modules cover the fundamental concepts of Calculus and Linear Algebra from a rigorous mathematical perspective (“Analysis I” and “Linear Algebra”). Additionally, the module “Applied Mathematics” covers the theory and applications of multi-variable calculus, providing students with a strong foundation in the subject.

In their second year, students take modules totaling 45 credit points (CP) from in-depth, discipline-specific CORE modules. These modules aim to extend the students' critical understanding of their major's fundamental theories, principles, and methods of their major at the current state of knowledge and best practice.

Math students are required to take 20 CP CORE modules, including:

• CORE Module: Undergraduate Seminar (5 CP, Semester 3+4)
• CORE Module: Introductory Algebra (7.5 CP, Semester 3)
• CORE Module: Analysis III (7.5 CP, Semester 4)

To complement their studies, students can also choose from a variety of CORE and Specialization modules totaling 25 ECTS credit points, including:

• CORE Module: Discrete Mathematics (5 CP)
• CORE Module: Number Theory (5 CP)
• Specialization: Complex Analysis (5 CP)
• Specialization: Real Analysis (5 CP)
• Specialization: Topology (5 CP)
• Specialization: Foundations of Mathematical Physics (5 CP)
• Specialization: Applied Dynamical Systems Lab (5 CP)
• Specialization: Stochastic Methods Lab (7.5 CP)
• Specialization: Partial Differential Equations (5 CP)
• Specialization: Dynamical Systems Lab (7.5 CP)
• Specialization: Algebra (5 CP)
• Specialization: Algebraic Topology (5 CP)
• Specialization: Stochastic Processes (5 CP)
• Specialization: Numerical Analysis (5 CP)

Alternatively, students can substitute 15 CP of the listed modules with CORE modules from a second field of study according to their interests and/or pursue a minor.

In their third year, Math students can tailor their studies to their individual interests and career goals by selecting from a range of Specialization modules. These modules will provide students with in-depth knowledge and understanding of specific areas of mathematics, allowing them to specialize in their chosen field. Additionally, students will complete a mandatory summer internship to gain practical experience in a professional setting and explore different career options.

Furthermore, students can participate in a study abroad program during their 5th semester, providing them with international perspectives and experience. Finally, the 6th semester will focus on fostering research skills through an extended Bachelor thesis project.

The program provides students with the knowledge, skills, and experience necessary to excel in various career paths in the field of mathematics. Math students take further 15 CP of the following Specialization Modules:

• Specialization: Complex Analysis (5 CP)
• Specialization: Real Analysis (5 CP)
• Specialization: Topology (5 CP)
• Specialization: Foundations of Mathematical Physics (5 CP)
• Specialization: Applied Dynamical Systems Lab (5 CP)
• Specialization: Stochastic Methods Lab (7.5 CP)
• Specialization: Partial Differential Equations (5 CP)
• Specialization: Dynamical Systems Lab (7.5 CP)
• Specialization: Algebra (5 CP)
• Specialization: Algebraic Topology (5 CP)
• Specialization: Stochastic Processes (5 CP)
• Specialization: Numerical Analysis (5 CP)

The mandatory internship program is an integral part of the curriculum at Constructor University. It is designed to provide students with real-world experience in a professional setting and allow them to apply their knowledge and skills to real-world problems. The two-month internship, usually completed during the summer between the second and third year of study, is a key component of the program. It allows students to gain hands-on experience in their chosen field and professional guidance. Alternatively, students interested in starting their own business can opt for a start-up option, which focuses on developing their business plan and reduces the full-time internship to 8 weeks (15 CP). This approach aims to provide students with the skills and experience necessary to succeed in their chosen careers and to meet the demands of a rapidly changing job market.

The Jacobs Track, an important feature of Constructor University’s educational concept, runs parallel to the disciplinary modules across all study years and is an integral part of the study program. It reflects a university-wide commitment to in-depth training in scientific methods, fosters an interdisciplinary approach, raises awareness of global challenges and societal responsibility, enhances employability, and equips students with extra skills desirable in the general field of study. Additionally, it integrates (German) language and culture modules.

Methods and Skills modules

Methods and skills such as mathematics, statistics, programming, data handling, presentation skills, academic writing, and scientific and experimental skills are offered to all students as part of the Methods and Skills area modules. Students are required to take 20 CP in the Methods/Skills area.
 

Math students take the following Methods modules

• Methods: Calculus and Linear Algebra I (5 CP)
• Methods: Calculus and Linear Algebra II (5 CP)
• Methods: Probability and Random Processes (5 CP)
• Methods: Numerical Methods (5 CP)

Big Questions modules

The modules of the Big Questions area intend to broaden the student’s horizon with applied problem-solving between and beyond the disciplines. The offerings comprise problem-solving-oriented modules that tackle global challenges from the perspectives of different disciplinary backgrounds and allow, in particular, a reflection of the acquired disciplinary knowledge in economic, societal, technological, and/or ecological contexts.

Math students take 2-4 (10 CP) modules from an extensive portfolio of Big Questions modules.

Community Impact Project
In their 5th semester, students must take a 5 CP Community Impact Project (CIP) module. Students engage in on-campus or off-campus activities that challenge their social responsibility, i.e., they typically work on major-related projects that make a difference in the community life on campus, in its neighborhood, in Bremen, or on a cross-regional level.

Language modules

Constructor University supports its students in acquiring and improving these skills by offering a variety of language modules at all proficiency levels. Emphasis is put on fostering the German language skills of international students as they are an essential prerequisite for non-native-speaking students to learn about, explore, and eventually integrate into their host country and its professional environment.
All students take four language courses in the first and second years.

The curriculum of the study program is outlined in the schematic study plan: