# B.S. in Computational Mathematics

The Bachelor of Science in Computational Mathematics is designed to produce graduates who can operate at the intersection of applied mathematics, computer science and a science applications area. This degree program integrates mathematical modeling, computing and visualization to solve complex problems that arise in the physical, natural, and behavioral sciences as well as engineering. By the end of their second year, students should select a track: Data Mining or Engineering Application. The students must also complete a minor or a second major that supplements the program core and aligns with their interests and career goals. In the capstone course this background is synthesized and applied to computational models that arise in such areas as atmospheric physics, structural dynamics, or computational fluid dynamics.

Because of the emphasis on applied mathematics, computing tools, and science applications, this program provides an excellent background for graduates to secure entry-level positions in various industries. Mathematics also serves as a respected degree leading to graduate study in many fields. The Data Science track is a great preparation for the Masters in Data Science offered at ERAU.

## Program Requirements

UNIV 101 | College Success | 1 |

General Education | 31 | |

Core | 24 | |

Track | 19 | |

Electives | 15 | |

Open Electives | 30 | |

Total Credits | 120 |

## General Education Requirements

For a full description of Embry-Riddle General Education guidelines, please see the General Education section of this catalog. These minimum requirements are applicable to all degree programs.

Communication Theory & Skills (COM 122, COM 219, COM 221) | 9 | |

Humanities - Lower level | 3 | |

Social Sciences - Lower level | 3 | |

Humanities or Social Sciences - Lower or Upper level | 3 | |

Humanities or Social Sciences - Upper level | 3 | |

Computer Science (CS 223 or CS 225 or EGR 115) | 3 | |

Mathematics | 8 | |

Physical and Life Sciences - one course must include a lab | 7 | |

Total Credits | 39 |

## BSCM Common Core

MA 241 | Calculus and Analytical Geometry I | 4 |

MA 242 | Calculus and Analytical Geometry II | 4 |

MA 243 | Calculus and Analytical Geometry III | 4 |

MA 305 | Introduction to Scientific Computing | 3 |

MA 413 | Statistics | 3 |

MA 432 | Linear Algebra | 3 |

MA 490 | Capstone Project | 3 |

Total Credits | 24 |

## Engineering Application Track

MA 345 | Differential Equations and Matrix Methods | 4 |

MA 348 | Numerical Analysis I | 3 |

MA 441 | Mathematical Methods for Engineering and Physics I | 3 |

MA 442 | Mathematical Methods for Engineering and Physics II | 3 |

MA 410 | Linear Optimization | 3 |

or MA 453 | High Performance Scientific Computing | |

MA 448 | Numerical Solution of Differential Equations | 3 |

Total Credits | 19 |

## Suggested Plan of Study for Engineering Application Track

Year One | ||
---|---|---|

Credits | ||

COM 122 | English Composition | 3 |

COM 219 | Speech | 3 |

EGR 115 | Introduction to Computing for Engineers | 3 |

or CS 223 | Scientific Programming in C | |

or CS 225 | Computer Science II | |

MA 241 | Calculus and Analytical Geometry I | 4 |

MA 242 | Calculus and Analytical Geometry II | 4 |

Physical Science Elective | 3 | |

UNIV 101 | College Success | 1 |

HU Lower Level Elective | 3 | |

SS Lower Level Elective | 3 | |

Open Electives | 3 | |

Credits Subtotal | 30.0 | |

Year Two | ||

COM 221 | Technical Report Writing | 3 |

MA 243 | Calculus and Analytical Geometry III | 4 |

MA 305 | Introduction to Scientific Computing | 3 |

MA 345 | Differential Equations and Matrix Methods | 4 |

MA 413 | Statistics | 3 |

Physical Science Elective | 3 | |

Physical Science Laboratory | 1 | |

Elective ^{*} | 3 | |

Lower or Upper-Level Humanities or Social Science Elective | 3 | |

Open Elective | 3 | |

Credits Subtotal | 30.0 | |

Year Three | ||

MA 348 | Numerical Analysis I | 3 |

MA 432 | Linear Algebra | 3 |

MA 441 | Mathematical Methods for Engineering and Physics I | 3 |

MA 442 | Mathematical Methods for Engineering and Physics II | 3 |

Elective ^{*} | 6 | |

Upper Level Humanities or Social Science Elective | 3 | |

Open Electives | 9 | |

Credits Subtotal | 30.0 | |

Year Four | ||

MA 448 | Numerical Solution of Differential Equations | 3 |

MA 453 | High Performance Scientific Computing | 3 |

MA 490 | Capstone Project | 3 |

Elective ^{*} | 6 | |

Open Electives | 15 | |

Credits Subtotal | 30.0 | |

Credits Total: | 120.0 |

## Data Science Track

MA 345 | Differential Equations and Matrix Methods | 4 |

or CS 317 & MA 325 | Files and Database Systems and Matrix Methods | |

MA 348 | Numerical Analysis I | 3 |

or MA 360 | Mathematical Modeling & Simulation I | |

MA 412 | Probability and Statistics | 3 |

or MA 404 | Statistics and Research Methods | |

MA 410 | Linear Optimization | 3 |

MA 440 | Data Mining | 3 |

MA 444 | Scientific Visualization | 3 |

Total Credits | 19 |

The Data Science Track is designed for students interested in developing expertise in data science, with specialization in computational mathematics. Using interdisciplinary methods and systems to extract knowledge or insights from large quantities of data, data science employs techniques and theories drawn from mathematics, statistics, and computer sciences and applies them to data-rich domains.

## Suggested Plan of Study for Data Science Track

Year One | ||
---|---|---|

Credits | ||

COM 122 | English Composition | 3 |

COM 219 | Speech | 3 |

EGR 115 | Introduction to Computing for Engineers | 3 |

or CS 223 | Scientific Programming in C | |

or CS 225 | Computer Science II | |

MA 241 | Calculus and Analytical Geometry I | 4 |

MA 242 | Calculus and Analytical Geometry II | 4 |

Physical Science Elective | 3 | |

UNIV 101 | College Success | 1 |

HU Lower Level Elective | 3 | |

SS Lower Level Elective | 3 | |

Open Electives | 3 | |

Credits Subtotal | 30.0 | |

Year Two | ||

COM 221 | Technical Report Writing | 3 |

MA 243 | Calculus and Analytical Geometry III | 4 |

MA 305 | Introduction to Scientific Computing | 3 |

MA 325 | Matrix Methods | 1 |

MA 412 | Probability and Statistics | 3 |

Physical Science Elective | 3 | |

Physical Science Laboratory | 1 | |

Elective ^{*} | 3 | |

Lower or Upper-Level Humanities or Social Science Elective | 3 | |

Open Elective | 6 | |

Credits Subtotal | 30.0 | |

Year Three | ||

CS 317 | Files and Database Systems | 3 |

MA 360 | Mathematical Modeling & Simulation I | 3 |

MA 413 | Statistics | 3 |

MA 432 | Linear Algebra | 3 |

MA 440 | Data Mining | 3 |

Upper Level Humanities or Social Science Elective | 3 | |

Elective ^{*} | 6 | |

Open Electives | 6 | |

Credits Subtotal | 30.0 | |

Year Four | ||

MA 410 | Linear Optimization | 3 |

MA 444 | Scientific Visualization | 3 |

MA 490 | Capstone Project | 3 |

Elective ^{*} | 6 | |

Open Electives | 15 | |

Credits Subtotal | 30.0 | |

Credits Total: | 120.0 |

* Elective requirement may be met with declaration and completion of any MINOR or TWO DEGREES OF THE SAME RANK or DOUBLE MAJOR. (ROTC courses also acceptable)