## Applied Mathematics and Computational Sciences/Math

The field of applied mathematics and computational sciences deals with the use of mathematical concepts and computational techniques in various fields of science and engineering. It is utilized in almost every discipline of science, engineering, industry, and technology, and has become an indispensable component. The computational science approach aims at understanding and solving problems mainly through the analysis of mathematical models combined with numerical simulations on computer.

Applied mathematics and computational sciences is a highly interdisciplinary field. The numerical simulation techniques are mostly developed and analyzed in the field of numerical analysis in mathematics. The modeling of and applications to specific scientific problems require disciplinary knowledge and expertise. The need of massive amounts of calculations and data processing calls for development in computer and information sciences. This is a time of opportunity as traditional boundaries between disciplines are breaking down, especially around data and computations.

The expertise of mathematics and computational sciences is in dire need, as access to unprecedented amounts of information and computing resources is creating new opportunities, working together in multidisciplinary teams, to actively engage with and to change the world around them. Mathematics and computing sciences are extensively applied in economics, biology, medical science as well as quantitative social science including global health, environmental science and humanities (for example, digital media). New application areas are constantly being discovered and established techniques are being applied in new ways and in emerging fields. Consequently, a wide variety of career opportunities are open to people with mathematical and computational talent and training.

### Major Requirements

*(Not every course listed is offered every semester, and the course list will be updated periodically. Please refer to the online Course Catalog for Courses offered in 2020-2021.)*

**Divisional Foundation Courses**

Course Code |
Course Name |
Course Credit |

Choose one from the following two Math courses |
||

MATH 101 | Introductory Calculus | 4 |

MATH 105 | Calculus | 4 |

And complete the following courses |
||

BIOL 110 | Integrated Science – Biology | 4 |

CHEM 110 | Integrated Science – Chemistry | 4 |

PHYS 121 | Integrated Science – Physics | 4 |

**Interdisciplinary Courses**

Course Code |
Course Name |
Course Credit |

MATH 302 | Numerical Analysis | 4 |

MATH 303 | ODE and Dynamical Systems | 4 |

And choose two courses from the following four courses |
||

MATH 403 | Partial Differential Equations | 4 |

MATH 404 | Stochastic Modeling & Computing | 4 |

MATH 405 | Methods for Data Analysis | 4 |

MATH 406 | Mathematical Modeling | 4 |

**Disciplinary Courses**

Course Code |
Course Name |
Course Credit |

MATH 201 | Multivariable Calculus | 4 |

MATH 202 | Linear Algebra | 4 |

MATH 205 | Probability and Statistics | 4 |

MATH 307 | Complex Variables | 4 |

MATH 308 | Real Analysis | 4 |

MATH 401 | Abstract Algebra | 4 |

**Electives**

Courses listed in the table below are recommended electives for the major and the course list will be updated periodically. Students can also select other courses in different disciplines or divisions as electives.

Course Code |
Course Name |
Course Credit |

MATH 301 | Advanced Introduction to Probability | 4 |

STATS 301 | Statistics | 4 |

MATH 306 | Number Theory | 4 |

MATH 408 | Differential Geometry | 4 |

MATH 409 | Topology | 4 |

MATH 450 | Measure and Integration | 4 |