History[ edit ] A numerical solution to the heat equation on a pump casing model using the finite element method.

Financial service and investment management firms Government labs, research offices and agencies Insurance companies Producers of petroleum and petroleum products What Kinds of Problems Might You Work on?

Some potential problems that someone with mathematical training might encounter are described below. Which of them do you find most intriguing, and why? How can an airline use smarter scheduling to reduce costs of aircraft parking and engine maintenance? Or smarter pricing to maximize profit? How can one design a detailed plan for a clinical trial?

Building such a plan requires advanced statistical Applied mathmatics and sophisticated knowledge of the design of experiments. How do we use major advances in computing power to incorporate knowledge about interactions between the oceans, the atmosphere and living ecosystems into models used to predict long-term change?

How can automotive and aircraft companies test performance, safety, and ergonomics, while at the same time lowering the cost of construction and testing prototypes?

A pharmaceutical company wants to search a very large database of proteins to find one that is similar in shape or activity to one they have discovered. How might disease spread in populated areas in the event of a bioterrorism incident, and how would Applied mathmatics be contained? Can we measure sentiment change as a result of social media shares, likes and comments?

How do you design a robotic hand to grip a coin and drop it in a slot? How can you mathematically model the spread of a forest fire depending on weather, ground cover and type of trees?

Can mathematical models be coupled with efficient computational implementations to obtain practical, low-cost simulations to guide computer chip design and manufacture? Can computational simulations show sufficient detail to capture the effects of the chemicals, but still be fast enough to permit studies of many different chemicals?

How can genome sequencing analysis help in making clinical decisions based on a personalized medicine approach? How can mathematics improve rating prediction performance of e-commerce systems and help enhance the consumer experience based on their past purchases, behavior and interests? Can we provide insight to coastal communities about future sea level rise and the risk and likelihood of effects of climate related events on their communities?

Systems Biology A career in this field might include the application of a wide range of mathematical and computational methods. For example, mapping and understanding the human genome relies on the use of sophisticated mathematical and computational tools.

Newer and better tools make research quicker and cheaper, resulting in the creation of new career opportunities in technology, medicine, and drug development and design.

Data Mining and Data Privacy Data mining allows the discovery of patterns and previously unknown information in large data sets. Emerging career opportunities can be found in applications of data mining in fields such as security, forensics, e-commerce, bioinformatics and genomics, astrophysics, medicine, and chemical and electrical engineering.

Materials Science Materials science is the study of the properties, processing, and production of a broad range of existing and new materials, including metallic alloys, composites, liquid crystals, biological materials, and thin films. The rational design and analysis of materials depends on mathematical models and computational tools.

Career opportunities abound in science, manufacturing, and materials design for applications in fields such as aerospace, engineering, electronics, biology, and nanotechnology.

Algorithms for computer animation rely heavily on techniques from scientific computation, statistics, signal processing, linear algebra, control theory, and computational geometry. Finance and Economics Financial mathematics is the development of quantitative techniques and computational models used in the financial industry.

Banks, insurance companies, investment and securities firms, energy companies and utilities, multinationals, corporations, government regulatory institutions, and other industries have come to rely on applied mathematics and computational science. Sophisticated math models and the computational methods and skills needed to implement them are used to support investment decisions, to develop and price new securities, to manage risk, and for portfolio selection, management, and optimization.

Other applications in these fields include the management of ocean fisheries and the study of insect population growth, spread, and reaction to insecticides.

Climatology Climatology depends on simulating the component forces that drive the climate, for example, ocean circulation and heat exchange between land, air, and ocean. It requires very sophisticated models based on physical principles, expressed as complex partial differential equations.

These are implemented in very large-scale numerical codes on high-performance computers, and use data from observations of satellites, ocean buoys, and other monitoring equipment to drive the solutions.

How Do You Get Started? Pairing math with any of these field can be a powerful combination. Services such as career assessments can help you narrow your search to suit your personality and interests.Applied Mathematics (AM) is an international journal dedicated to the latest advancement of applied mathematics.

The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathematics. Online shopping from a great selection at Books Store. Shop Best Sellers · Deals of the Day · Fast Shipping · Read Ratings & Reviews.

Welcome to the Department of Applied Mathematics at the University of Colorado, Boulder. The departmental roots go back to the turn of the last century when it originally was the Department of Engineering Mathematics. Applied mathematics is the application of mathematical methods by different fields such as science, engineering, business, computer science, and industry.

Thus, applied mathematics is a combination of mathematical science and specialized knowledge. Thinking of a career in applied mathematics?

Make a difference with applied math. Use your innovative reasoning to uncover new insights and applications and help solve real world problems. Learn about growing fields, career opportunities, and more. The Applied Mathematics program supports mathematics research motivated by or having an effect on problems arising in science and engineering.

Mathematical merit and novelty, as well as breadth and quality of impact on applications, are important factors.

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The Division of Applied Mathematics | Division of Applied Mathematics