## Planning and Analysis

# Mathematician

Career Area: Planning and Analysis

Occupation Group: Data Analysis and Mathematics

## Salary

Percentile wages tell how much a certain percentage of an overall population in a geographic area or within a given industry or field makes. The percentile wage estimate is the value of a wage below which a certain percent of workers fall.

An example would be the 25th percentile, 25 percent of workers employed in that occupation earn less and 75 percent earn more than the estimated wage value. At the 75th percentile, 75 percent of workers employed in that occupation earn less and 25 percent earn more than the estimated wage value.

A typical Mathematician earns the following wages (national and state):

### State

The average salary in North Carolina for those pursuing this career is $106,096

### National

The average salary in the United States for those pursuing this career is $99,211

## What Does a Professional in this Career Do?

Conducts research in advanced mathematics to further mathematical knowledge. Develops applied mathematical models and formulas to address real-world problems in science, engineering, business, and other fields, or studies issues purely within mathematics.

## Employment Trends

The job demand and job growth statistics shown here were derived from job posts over the past year. Expected job growth projections are extrapolated from year-over-year job post listing history.

Job demand and job growth is expected at the following rates:

Growth | ||
---|---|---|

North Carolina | 8 | % |

Nationwide | 357 | +29% |

## Skills

A professional in this position typically utilizes the following skills in the course of everyday work in this exciting and challenging field:

### Baseline Skills

The following are baseline skills every Mathematician is expected to have in order to experience success in this field:

- Research: Research comprises creative work undertaken on a systematic basis in order to increase the stock of knowledge, including knowledge of humans, culture and society, and the use of this stock of knowledge to devise new applications. It is used to establish or confirm facts, reaffirm the results of previous work, solve new or existing problems, support theorems, or develop new theories.
- Communication Skills: The ability to convey information to another effectively and efficiently.
- Teamwork / Collaboration: A Collaboration is a purposeful relationship in which all parties strategically choose to cooperate in order to achieve shared or overlapping objectives.
- Microsoft Excel: Microsoft Excel is a spreadsheet developed by Microsoft for Windows, macOS, Android and iOS. It features calculation, graphing tools, pivot tables, and a macro programming language called Visual Basic for Applications.
- Writing: Writing is a medium of human communication that represents language and emotion with signs and symbols.

### Specialized Skills

These skills are specific to working in this career:

- Simulation: Simulation is the imitation of the operation of a real-world process or system over time.
- Experiments: An experiment is a procedure carried out to support, refute, or validate a hypothesis.
- Personnel Management: Human Resource Management [HRM or HR] is the management of human resources.
- Systems Engineering: Systems engineering is an interdisciplinary field of engineering and engineering management that focuses on how to design and manage complex systems over their life cycles.
- Statistical Methods: Working experience of Statistical Methods, which refers to methods of collecting, summarizing, analyzing, and interpreting variable numerical data. Statistical methods can be contrasted with deterministic methods, which are appropriate where observations are exactly reproducable or are assumed to be so.

### Distinguishing Skills

Any Mathematician that possesses the following skills will stand out against the competition:

- Numerical analysis: Working experience of Numerical analysis. Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).
- Calculus: Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
- Algorithm Development: In mathematics and computer science, an algorithm ( AL-g-ri-dhm) is a self-contained sequence of actions to be performed.
- Stochastic Processes: Working experience of Stochastic Processes, which is a mathematical object usually defined as a collection of random variables. Historically, the random variables were associated with or indexed by a set of numbers, usually viewed as points in time, giving the interpretation of a stochastic process representing numerical values of some system randomly changing over time, such as the growth of a bacterial population, an electrical current fluctuating due to thermal noise, or the movement of a gas molecule.
- Regression Algorithms: Working experience of Regression Algorithms. Regression is concerned with modeling the relationship between variables that is iteratively refined using a measure of error in the predictions made by the model. Regression methods are a workhorse of statistics and have been co-opted into statistical machine learning.

## Salary Boosting Skills

A professional who wishes to excel in this career path may consider developing the following highly valued skills:

- Linear Algebra: Working experience of Linear Algebra, which is a branch of mathematics that is concerned with mathematical structures closed under the operations of addition and scalar multiplication and that includes the theory of systems of linear equations, matrices, determinants, vector spaces, and linear transformations.
- Mathematical Programming: Working experience of Mathematical Programming, which, alternatively spelled optimisation, is the selection of a best element (with regard to some criterion) from some set of available alternatives. The generalization of optimization theory and techniques to other formulations constitutes a large area of applied mathematics. Optimization includes finding best available values of some objective function given a defined domain (or input), including a variety of different types of objective functions and different types of domains.
- Image Processing: In imaging science, image processing is processing of images using mathematical operations by using any form of signal processing for which the input is an image, a series of images or a video, such as a photograph or video frame; the output of image processing may be either an image or a set of characteristics or parameters related to the image.
- Numerical analysis: Working experience of Numerical analysis. Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).
- Physics: Physics is the natural science that involves the study of matter and its motion and behavior through space and time, along with related concepts such as energy and force.

## Education

This career typically requires the following level of education. The numbers presented in the pie charts below were derived from actual job posts over the past year. Not all job postings list education requirements.

.Education Level | % |

Bachelor's Degree | 0% |

Master's Degree | 71% |

Doctoral Degree | 29% |

## Experience

This position typically requires the following level of experience. The numbers presented in the pie charts below were derived from actual job posts over the past year. Not all job postings list experience requirements.

Experience Required | % |

0 to 2 years | 76% |

3 to 5 years | 13% |

6 to 8 years | 4% |

Many of the programs offered through NC State are designed for working professionals who need additional credentials to enhance existing work experience.

Students who do not have the expected level of experience may wish to look into internship and employment opportunities.

## Common Job Titles

It is possible to find work in this field in positions commonly listed as the following job titles:

- Mathematician
- Applied Mathematician
- Game Mathematician
- Applied Mathematics
- Senior Applied Mathematician

## Similar Occupations

If you are interested in exploring similar occupations, you may want to research the following job titles:

The wage and employment trend information shown here represents historical data and does not guarantee future conditions. Data is downloaded regularly from Burning Glass Technologies. For more information about how they gather data and what it represents, see Burning Glass Technologies - Frequently Asked Questions.