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mathematics

Mathematics, Modeling and Data Analytics

Mathematics, Modeling and Data Analytics
Bachelor of Science - Undergraduate program
Program

Mathematics, Modeling and Data Analytics (MMDA) is the follow-up program of Mathematics and will start in Fall 2023!

Mathematics is at the foundation of science, ranging from the beauty of theory and pure thought to applications in almost all areas of the natural sciences, engineering, economics, finance, and even the social sciences. While Mathematics is an ancient subject, and its applications also date back to many centuries, recent advances of the last two decades in Data Science have revolutionized all these applications as well as some areas of mathematics itself.

A key advantage of this interdisciplinary program is that it equips students both with mathematical tools for formulating and analyzing problems as well as context provided in modeling real-world problems and algorithmic data-driven approaches towards solving them.  The strong mathematical foundation sought for in the program equips students with more powerful methods of analysis and modeling problems serves as a wide source of mathematical questions.

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Interested in the program?
Why study at Constructor University
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Train your intercultural skills by studying with talents from more than 100 countries and excellent study abroad options.
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Benefit from highest standards in teaching, interdisciplinary learning, early research involvement, and hands-on education.
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Connect with Alumni to broaden your professional network & start your career with our individual career service support.
Key facts
Place:
Constructor University, Bremen, Germany
Tuition:
€ 20,000 per academic year (two semesters) + € 8,000 on-campus room and board (double room, shared bathroom, full meal plan)
Fall intake 2024:
Apply by June 1st 2024 (visa) or July 15th 2024 (no visa)​
Check-in days August 26th – 29th (orientation week), start first week of September (classes)
Duration:
3 years full-time
Financing options:
Each admitted candidate will receive an individual financial package.
Scholarships:
All students are considered for an academic achievement scholarship based on their school grade point average (GPA).
EU students are eligible for a minimum guaranteed scholarship of € 4.000.
Ready for your future?
4C Model

The undergraduate program at Constructor University is a three-year, 180-credit-point program designed to prepare students for a wide range of career paths.

The “4C Model” is the program's backbone, with disciplinary content grouped into three themes according to study years: CHOICE-CORE-CAREER. Additionally, the “CONSTRUCTOR Track”, an integral part of the program, runs parallel throughout the program. It provides students with multidisciplinary content and essential skills such as argumentation, data visualization, societal engagement, and communication.

The curriculum allows students to tailor their education to their goals and to explore different fields of study, with the flexibility to change their major within the first year. Moreover, the programs include a mandatory internship and a study-abroad opportunity in the fifth semester to provide students with hands-on experience and a global perspective.

 

4C Curriculum
Study program structure

The first study year is characterized by a university-specific offering of disciplinary education that builds on and expands upon students’ entrance qualifications. Students select introductory modules for a total of 45 CP from the CHOICE area of a variety of study programs, of which 37.5 CP will be from their intended major.
To pursue an MMDA major, the following CHOICE modules (30 CP) need to be taken as mandatory modules during the first year of study:

  • CHOICE Module: Analysis (7.5 CP, Semester 1)
  • CHOICE Module: Programming in Python and C++ (7.5 CP, Semester 1)
  • CHOICE Module: Linear Algebra (7.5 CP, Semester 2)
  • CHOICE Module: Mathematical Modelling (7.5 CP, Semester 2)

Students can choose between the following two mandatory elective CHOICE modules in the second semester:  

  • CHOICE Module: Core Algorithms and Data Structures (7.5 CP, Semester 2) or
  • CHOICE Module: Algorithms and Data Structures (7.5 CP, Semester 2)

The remaining CHOICE module (7.5 CP) can be selected in the first semester of study according to interest and/or with the aim of allowing a change of major.

Analysis and Linear Algebra cover the foundations of the areas of calculus and linear algebra from a rigorous mathematical perspective. In addition, the modules Mathematical Modelling and either the CHOICE modules Core Algorithms and Data Structures or Algorithms and Data Structures provide the foundation for mathematical modeling and basic programming skills. These CHOICE modules are complemented by the Methods modules (Matrix Algebra and Advanced Calculus I + II) which equip students with complementary skills in calculus and linear algebra.

In their second year, students take a total of 45 CP from a selection of in-depth, discipline-specific CORE modules. Building on the introductory CHOICE modules and applying the methods acquired so far, these modules aim to expand the students’ critical understanding of the key theories, principles, and methods in their major for the current state of knowledge and best practice.

To pursue Mathematics, Modeling and Data Analytics as a major, 40 CP mandatory CORE modules need to be acquired:

  • CORE Module: Algebra (5 CP, Semester 3)
  • CORE Module: Complex Analysis (5 CP, Semester 3)
  • CORE Module: Real Analysis (5 CP, Semester 4)  
  • CORE Module: Number Theory (5 CP, Semester 3)
  • CORE Module: Discrete Mathematics (5 CP, Semester 4)
  • CORE Module: Computational Modeling (5 CP, Semester 3 and 4)
  • CORE Module: Machine Learning (5 CP, Semester 4)
  • CORE Module: Scientific Data Analysis (5 CP, Semester 3)

Students complement their studies by taking 5 ECTS of the second/third year Specialization modules:

  • MMDA Specialization: Topology and Differential Geometry (5 CP)
  • MMDA Specialization: Foundations of Mathematical Physics (5 CP)
  • MMDA Specialization: Stochastic Modeling and Financial Mathematics (5 CP)
  • MMDA Specialization: Dynamical Systems (5 CP)
  • MMDA Specialization: Stochastic Processes (5 CP)

During their third year, students prepare and make decisions for their career after graduation. To explore available choices, and to gain professional experience, students take a mandatory summer internship. The third year of studies allows Mathematics, Modeling and Data Analytics students to take specialization modules within their discipline, but also focuses on the responsibility of students beyond their discipline (see CONSTRUCTOR Track).

The 5th semester opens also a mobility window for study abroad options.

Students take 15 CP from major-specific or major-related, advanced Specialization modules to consolidate their knowledge and to be exposed to state-of-the-art research in the areas of their interest. This curricular component is offered as a portfolio of modules, from which students can make free selections during their 5th and 6th semester.

To pursue Mathematics as a major, students take all in all 20 CP from mandatory elective Specialization modules:

  • MMDA Specialization: Stochastic Processes (5 CP)
  • MMDA Specialization: Foundations of Mathematical Physics (5 CP)
  • MMDA Specialization: Dynamical Systems 5 CP)
  • MMDA Specialization: Topology and Differential Geometry (5 CP)
  • MMDA Specialization: Stochastic Modeling and Financial Mathematics (5 CP)

The following Specialization modules from Physics and Data Science and master's program in CSSE can substitute up to 5 CP of the above Specialization modules:

  • PHDS Specialization: Quantum Mechanics (5 CP)
  • PHDS Specialization: Analytical Mechanics (5 CP)
  • PHDS Specialization: Particle Fields and Quanta (5 CP)
  • MSc CSSE Specialization: Quantum Informatics (5 CP)

As a core element of Constructor University’s employability approach students are required to engage in a mandatory two-month internship of 15 CP that will usually be completed during the summer between the second and third year of study. This gives students the opportunity to gain first-hand practical experience in a professional environment, apply their knowledge and understanding to a professional context, reflect on the relevance of their major in employment and society, reflect on their own role in employment and society, and find professional orientation. As an alternative to the full-time internship, students interested in setting up their own company can apply for a start-up option to focus on the development of their business plan.

The CONSTRUCTOR Track is another important feature of Constructor University’s educational model. The Constructor Track runs orthogonal to the disciplinary CHOICE, CORE, and CAREER modules across all study years and is an integral part of all undergraduate study programs. It provides an intellectual tool kit for lifelong learning and encourages the use of diverse methodologies to approach cross-disciplinary problems. The CONSTRUCTOR track contains Methods, New Skills and German Language and Humanities modules.

Methods
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 area in their curriculum. The modules that are specifically assigned to each study programs equip students with transferable academic skills. They convey and practice specific methods that are indispensable for each students’ chosen study program. Students are required to take 20 CP in the Methods area. The size of all Methods modules is 5 CP.

To pursue MMDA as a major, the following Methods modules (20 CP) need to be taken as mandatory modules:

  • Methods Module: Matrix Algebra & Advanced Calculus I (m, 5 CP)
  • Methods Module: Matrix Algebra & Advanced Calculus II (m, 5 CP)
  • Methods Module: Probability and Random Processes (m, 5 CP)
  • Methods Module: Statistics and Data Analytics (m, 5 CP)

New Skills Modules
This part of the curriculum constitutes an intellectual and conceptual tool kit that cultivates the capacity for a particular set of intellectual dispositions including curiosity, imagination, critical thought, and transferability. It nurtures a range of individual and societal capacities, such as self-reflection, argumentation and communication. Finally, it introduces students to the normative aspects of inquiry and research, including the norms governing sourcing, sharing, withholding materials and research results as well as others governing the responsibilities of expertise as well as the professional point of view. Students in this study program are required to take the following modules in their second and third year:

  • New Skills Module: Logic (m, 2.5 CP)
  • New Skills Module: Causation and Correlation (m, 2.5 CP)
  • New Skills Module: Argumentation, Data Visualization and Communication (m, 5 CP)

Furthermore, they must choose either

  • New Skills Module: Linear Model/Matrices (me, 5 CP) or
  • New Skills Module: Complex Problem Solving (me, 5 CP)

as well one of the following modules:

  • New Skills Module: Agency, Leadership and Accountability (me, 5 CP) or
  • New Skills Module: Community Impact Project (me, 5 CP).

German Language and Humanities Modules
German language abilities foster students’ intercultural awareness and enhance their employability in their host country. They are also beneficial for securing mandatory internships (between the 2nd and 3rd year) in German companies and academic institutions. Constructor University supports its students in acquiring basic as well as advanced German skills in the first year of the Constructor Track. Non-native speakers of German are encouraged to take 2 German modules (2.5 CP each), but are not obliged to do so. Native speakers and other students not taking advantage of this offering take alternative modules in Humanities in each of the first two semesters.

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MMDA Study Scheme Fall 2023
Study program handbook Fall 2023 - Mathematics, Modeling and Data Analytics
Study program handbook Fall 2022 - Mathematics
Study program handbook Fall 2021 - Mathematics
Career perspectives

A degree in Mathematics, Modeling and Data Analytics opens the door for a wide range of career options.

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Students & alumni
Jessica Fintzen
The relationship with the professors is very close, the groups are small, and the fellow students are outstanding, which is an additional motivating factor.
Jessica Fintzen, Doctorate at Harvard University, Postdoctoral Assistant Professor at the University of Michigan and the Institute for Advanced Study at Princeton, now Professor at the University of Bonn
School of Science

This study program is part of the School of Science.

The School of Science focuses on multidisciplinary research and teaching to enhance the quality of life, health, and longevity through science and technology. Different approaches are used to study novel bioactive substances and functional materials at the molecular and nanoscale as well as to advance quantum technologies and exploit resources and energy in a sustainable manner.

Key disciplines in the school include Mathematics, Physics, Biochemistry, Biotechnology, Cell Biology, Chemistry, and Earth Sciences.

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Constructor University Students come from all over the world to live and learn at Constructor University. Our student body represents 110 nations. They form an ambitious campus community whose internationality is unprecedented in Europe. Constructor University’s green and tree-shaded 80-acre campus provides much more than buildings for teaching and research.

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