Mathematics, Modeling and Data Analytics

Program Overview

The Mathematics, Modeling and Data Analytics program equips students with mathematical tools and modeling skills to solve real-world problems. The program provides a strong foundation in mathematics, programming, and data analysis, preparing students for careers in various fields. Students can specialize in areas such as topology, financial mathematics, and machine learning, and gain practical experience through a mandatory summer internship.

Program Outline

Degree Overview:

The Mathematics, Modeling and Data Analytics (MMDA) program is a three-year, 180-credit-point program designed to prepare students for a wide range of career paths. The program equips students with both 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 serving as a wide source of mathematical questions.

Outline:

Year 1

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.

Year 2

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)

Year 3

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)

Careers:

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