Bachelor in Applied Mathematics - A personalized study pathHarness applied math to solve real-world challenges
A PERSONALIZED STUDY PATH
The IE University experience involves much more than academic studies. Our practice-based methodology takes you beyond the classroom walls and straight to the frontlines of the industry you’re passionate about. We offer an exceptional range of opportunities that allow you to tailor your studies to your specific career goals and enhance your employability by obtaining extra qualifications.
Our applied and student-centered approach to education helps identify your unique strengths and gives you the chance to build your own path. Immersed in this dynamic environment, you will have access to our cutting-edge resources, and you will be able to customize your program by adding complementary courses, advanced seminars, internships, and IEU Labs.
OUTSIDE THE CLASSROOM
Tutors and advisors provide students with mentoring and guidance to integrate the different elements of their degrees to build a personalized academic program that meets their professional aspirations.
Advanced Seminars complement the core degree by giving students deeper knowledge of subjects in their main area of study.DISCOVER MORE
IEU Labs are IE University’s alternative to traditional work placements and provide hands-on, internship-like experience on campus to first and second year students that wish to start gaining professional practice. There many IEU Labs for you to choose from, and by joining one you will not only get to build your professional profile and gain valuable practical knowledge of different sectors, but you will also have direct contact with managers and directors of leading companies, extending your professional network.LEARN MORE ABOUT THE IEU LABS
We understand that real-world professional experience is fundamental within the field of business, and for that reason the Bachelor in Data Science offers the opportunity of doing internships with organizations worldwide. You will be able to acquire more than a years worth of professional experience, giving you a huge advantage, not only when it comes to entering the job market but also as you establish yourself as a valued business professional.LEARN MORE ABOUT INTERNSHIPS AT IEU
CHOOSE YOUR OWN SPECIALIZATION
The Bachelor in Applied Mathematics offers you the opportunity to specialize in the field that interests you most. Thanks to our specialization courses, you will be able to delve deeper into core concepts from your previous studies, learn to apply your knowledge to the real-world context of different sectors and study theoretical concepts with a professional application. You will also learn to understand the language used in each sector and function within the business world, as well as the necessary tools to join the sector of your choice.
– Discover the basics of algorithms and the application of discrete mathematics, as well as the main problem-solving techniques. You will also have the opportunity to study different data structures, design and analyze efficient algorithms, and delve into the concepts of computational complexity.
– Learn how to choose—from an algorithmic point of view—the most appropriate solution to each problem according to the variables used and their computational implications, in addition to studying the principles of numerical calculation.
– Understand how to apply multi-agent models in the analysis and modeling of complex dynamic systems. You will also learn how to develop agent-based models for simulating problems in different fields, as well as how to critically analyze the results obtained.
– Acquire the necessary skills to model complex elements and systems in order to properly define problems in accordance with the objectives at hand. Likewise, you will learn how to apply functional models to demonstrate accurate results, as well as study the simplified models that exist in different fields and their applications.
– Discover how to introduce the necessary model simplification systems to maintain the adequate degree of precision, depending on the problem, and how to interpret the results obtained and convey them with the appropriate tools. In addition, you will learn to use programs to develop different simulation methods, and evaluate and analyze their results.
The Advanced Mathematics course is divided into the following six electives:
– Complex dynamic systems
– Non-numerical algorithms
– Applications of functional analysis
– Combinatorial optimization
– Reduced modeling techniques
– Simulation of complex adaptive systems
HEALTH AND BIOLOGY
– Explore the fundamentals of biostatistics and the mathematical models applied in this area. You will learn how to interpret and outline the main biological and genetic properties of organisms, and you will discover Mendel’s experiments and the principles of inheritance.
– Study basic biological structures in order to understand the cell and its processes, in addition to delving into the structures of organisms and the characteristics of the systems involved in the basic maintenance of individuals.
– Analyze the interrelationships between the different systems of an organism and the role they play, as well as chromosomal variation. You will also study the fundamentals of epidemiology, the application and interpretation of mathematical models in this field, and the main agents and systems that make up a health system.
– Learn to identify information retrieval techniques for primary and secondary sources, and you will get to know the nomenclature of computational biology. In addition, you will develop the skills to autonomously find information based on your knowledge of prediction models of one-dimensional characteristics of proteins.
– Dive deeper into the evaluation of the basic methods of molecular simulation and their use in the study of proteins. You will discover the main mathematical models related to health and the spread of diseases, as well as predictive models in the field of early detection.
– Learn about digital and conventional technologies applied to the field of medicine and diagnostics, and you will learn to interpret the data they provide to apply them to mathematical and statistical modeling. You will also study the application of statistical learning models to diagnostic solutions.
The Health and Biology course is divided into the following six optional electives:
– Health and biology for applied mathematicians
– Biostatistics and genetics
– Epidemiology and public health
– Computational biology
– Mathematical medicine
– Explore the different trends in economic thought and its main agents, and you will learn to apply the microeconomic principles that govern the relationship between the different agents, as well as the macroeconomic principles that determine an economic system. You will also study the mathematical models necessary to explain the behavior and the interrelation between microeconomic agents.
– Learn how to model existing relations in international money markets and to analyze the main econometric models to explain an economic phenomenon and its impact. In addition, you will discover how to model and interpret the main mathematical models applied to macroeconomics and the decisions made by agents in order to identify imperfections in the markets.
The Economics course is divided into the following six optional electives:
– Economics for applied mathematicians
– Market structure and microeconomic modeling
– International trade and monetary flow
– Econometrics and forecasting
– Macroeconomic analysis and modeling
BANKING AND FINANCE
– Study the main concepts related to markets and financial management, as well as the concepts of profitability and risk and their application in investment models. In addition, you will learn how to use finance-applied optimization models that allow for uncertainty.
– Discover how to identify the sources of relevant financial information for the modeling of financial activities, as well as the different types of financial, credit and operational risk and the models used for their quantification.
– Learn how to calculate and interpret the risk associated with financial operations and investments from the point of view of the investor and the financial institution. You will also delve into the development of mathematical models that are suitable for the prediction of univariate processes.
– Gain knowledge about the main components related to algorithmic and quantitative trading. You will discover how to develop autonomous trading models by applying machine learning, and you will acquire the necessary skills to evaluate the adequacy of trading and money management models during their life cycle.
The Banking and Finance course is divided into the following six optional electives:
– Finance for applied mathematicians
– Investment optimization and management
– Risk modeling
– Time series analysis for financial projections
– Quantitative and algorithmic trading
ENERGY AND SUSTAINABILIT
– You will study the main variables that make up a sustainable system, and you will learn how to evaluate the impact of different technologies and human actions on sustainability and climate change. You will be able to use the concepts of supply and demand management to predict the price-quantity-quality/impact equilibrium trinomial by simulating systems.
– You will delve into the main ecological system models and learn how to develop evaluation and impact-prediction models in the field of sustainability and error measurement. In addition, you will study the environmental and social impact of the value chains of current energy systems, and you will learn how to model and evaluate the biggest peculiarities of energy systems in relation to the product and customer.
– You will explore the different mathematical models applied to the field of sustainability. You will learn how to develop models based on a state space using vectors, state variables and transfer functions in the representation of systems used for sustainable development.
– You will discover how to apply the main models used in the field of recycling and waste management for sustainable development. In addition, you will develop the skills necessary to identify potential improvements in existing models and to establish the relationship between these models and the correlating businesses.
The Energy and Sustainability course is divided into the following six optional electives:
– Sustainability for applied mathematicians
– Ecological modeling
– Operation and efficiency of energy systems
– Applied mathematics for sustainability
– Modeling for recycling and waste management
OPERATIONS AND AUTOMATION
– You will learn about the different types of product-service systems, as well as the ways they can be applied. You will learn to solve logistical and network-optimization problems using corresponding methods, and to simulate basic stochastic models in order to familiarize yourself with operations research.
– You will study the different transport and storage systems and their main characteristics for the implementation of automation and robotics. You will delve into robotic systems with advanced control languages, as well as their applications in storage and retrieval systems. In addition, you will discover the different types of hybrid robotic systems and their impact on production and service processes.
– You will learn how to use the main characteristics of centralized and distributed control in robotic systems to plan and coordinate different robots and humans in a production or service process.
– You will explore swarm modeling systems and various modeling techniques, and you will learn how to use certain modeling and simulation tools to study and analyze a production or service process.
– You will acquire the necessary skills to apply the appropriate algorithms to simulate production or service models. In addition, you will learn how to formulate and solve optimization problems, as well as to choose the appropriate tools and techniques to solve them.
The Operations and Automation course is divided into the following six optional electives:
– Operations and automation for mathematicians
– Optimization of operations
– Industrial automation and robotics
– Modeling of autonomous systems
– Generative design and manufacturing simulation
ARE YOU AN ENTREPRENEUR?
Mathematics and entrepreneurship are two intertwined disciplines. This program will provide you with all the resources you need to bring your techy entrepreneurial ideas to reality. You will also have access to many resources throughout your experience as an IE University student to conceptualize, build and launch your entrepreneurial project.