Mathematics: Mathematical Modeling

Analyze Complex Systems and Solve Real-World Problems with Data and Logic

The mathematical modeling concentration at Emmanuel teaches you how to apply mathematics to interpret systems, analyze data, and approach complex challenges across disciplines. You'll use logic, computation, and quantitative reasoning to better understand the world and to design solutions rooted in evidence.

You’ll learn to build and apply mathematical models using tools from calculus, linear algebra, statistics, and computer programming. Through electives like differential equations and simulation with MATLAB, you’ll strengthen your ability to interpret data, design systems, and connect mathematical thinking to real-world scenarios.

Whether you’re interested in data science, economics, research, or analytics, this concentration equips you with versatile problem-solving skills that are in demand across industries, and provides a strong foundation for graduate study.

The Curriculum

View the 2024-2025 Academic Catalog to find course titles, numbers and descriptions.

Requirements for a B.A. in Mathematics with a Concentration in Mathematical Modeling

  • MATH 2101 Linear Algebra (QA) (QR)
  • MATH 2103 Calculus III (QA) (QR)
  • MATH 2109 Introduction to Proofs (QA) (QR) (WI)
  • MATH 2113 Statistics with R (QA) (QR)
  • MATH 3101 Real Analysis
  • MATH 3107 Abstract Algebra
  • MATH 4157 Senior Seminar

Three electives from this list:

  • MATH 2107 Differential Equations (QA) (QR)
  • MATH 2111 Mathematical Modeling for Social Justice (QA) (QR) (SJ) 
  • MATH 2115 Modeling and Simulation with MATLAB (QA) (QR)
  • MATH 3113 Special Topics in Mathematics (when related to Mathematics Modeling, with department approval)
  • MATH 4194/95  Research Internship I and II (when related to Mathematics Modeling)

In addition to the courses required for a Mathematics Major, students will complete the following learning goals:

  • Understand and connect concepts of mathematics with other disciplines, and formulate and analyze mathematical models appropriate for an intended application.
  • Use technology and software programs (e.g. LaTeX, Excel, R, MATLAB) to analyze mathematical models.  
  • Interpret mathematical solutions in terms of the real world application, and effectively communicate results to others, especially non-mathematicians.

What can I do with a degree in mathematical modeling?

Mathematical modeling majors develop skills that can be applied to a wide range of industries and career paths. Here are some potential career options:

Financial Industry

  • Quantitative Analyst (Quant): Develops and implements mathematical models to support trading strategies, risk management, and investment decisions.
  • Actuary: Uses mathematical models to assess risk and uncertainty in insurance and finance.
  • Financial Analyst: Analyzes financial data to guide investment decisions and assess financial performance.

Data Science and Analytics

  • Data Scientist: Uses mathematical models and statistical techniques to analyze large datasets and derive insights for business decisions.
  • Data Analyst: Interprets data and uses models to help organizations make data-driven decisions.
  • Operations Research Analyst: Applies mathematical modeling to improve business operations, logistics, and supply chain management.

Engineering and Technology

  • Systems Engineer: Uses mathematical models to design, analyze, and optimize engineering systems.
  • Software Developer: Develops algorithms and software solutions that require strong mathematical modeling skills.
  • Machine Learning Engineer: Develops and implements models for machine learning applications.

Healthcare and Pharmaceuticals

  • Biostatistician: Uses mathematical models to analyze data from medical research and clinical trials.
  • Epidemiologist: Applies modeling techniques to study the spread of diseases and develop strategies for public health.
  • Health Data Analyst: Analyzes healthcare data to improve patient outcomes and optimize healthcare operations.

Environmental and Earth Sciences

  • Environmental Scientist: Uses models to study environmental processes and predict the impact of environmental changes.
  • Hydrologist: Develops models to study water resources and predict the behavior of water systems.
  • Climate Modeler: Uses mathematical models to simulate climate patterns and predict future climate changes.

Academia and Research

  • Research Scientist: Conducts research in mathematical modeling and applies models to solve complex problems in various fields.
  • University Professor: Teaches mathematical modeling and conducts research, typically requiring a Ph.D.
  • Mathematical Researcher: Works in research institutions or think tanks to develop new models and methodologies.

Manufacturing and Industry

  • Industrial Engineer: Applies mathematical modeling to improve manufacturing processes and increase efficiency.
  • Production Planner: Uses models to optimize production schedules and inventory management.
  • Quality Control Analyst: Develops models to ensure product quality and optimize manufacturing processes.

Government and Public Policy

  • Policy Analyst: Uses mathematical models to evaluate the impact of public policies and make recommendations.
  • Defense Analyst: Applies modeling techniques to assess military strategies and operations.
  • Urban Planner: Uses models to plan and optimize urban development and infrastructure.

Energy Sector

  • Energy Analyst: Develops models to optimize energy production and consumption.
  • Renewable Energy Consultant: Uses modeling techniques to analyze and promote the use of renewable energy sources.
  • Petroleum Engineer: Applies mathematical models to optimize oil and gas extraction and production.

Telecommunications and Network Analysis

  • Network Engineer: Uses models to design and optimize communication networks.
  • Telecommunications Analyst: Develops models to improve the efficiency and reliability of telecommunications systems.

Aerospace and Defense

  • Aerospace Engineer: Uses mathematical modeling to design and analyze aircraft and spacecraft.
  • Defense Systems Analyst: Applies modeling techniques to evaluate and improve defense systems.

Consulting

  • Management Consultant: Uses models to help organizations solve complex problems and improve performance.
  • Technical Consultant: Provides expertise in mathematical modeling to solve specific technical challenges for clients.

These career paths leverage the strong analytical, problem-solving, and technical skills developed through a degree in mathematical modeling. Graduates are well-equipped to tackle complex problems and contribute to advancements in various fields.