MATH 304 | Vector Analysis | 4 |

MATH 344 | Linear Analysis II | 4 |

MATH 350 | Mathematical Software | 4 |

or CSC/CPE 202 | Data Structures | |

MATH 408 | Complex Analysis I | 4 |

MATH 413 | Introduction to Analysis II | 4 |

MATH 416 | Differential Equations II | 4 |

or MATH 418 | Partial Differential Equations | |

MATH 451 | Numerical Analysis I | 4 |

STAT 301 | Statistics I | 4 |

or STAT 305 | Introduction to Probability and Simulation | |

Tracks | ||

Select courses from one of the following tracks. ^{1,2} | 12 | |

Track A | ||

Graph Theory | ||

Theory of Numbers | ||

Linear Algebra III | ||

Complex Analysis II | ||

Introduction to Analysis III | ||

Differential Equations II | ||

Partial Differential Equations | ||

Discrete Mathematics with Applications I | ||

Game Theory | ||

Numerical Analysis II | ||

Numerical Optimization | ||

Senior Project Applied Seminar | ||

Senior Project I and Senior Project II | ||

Advanced Topics in Applied Mathematics | ||

Abstract Algebra II | ||

Abstract Algebra III | ||

Track B | ||

Introduction to Data Science | ||

Data Science Process and Ethics and Data Science Projects Laboratory ^{3} | ||

Graph Theory | ||

or MATH 435 | Discrete Mathematics with Applications I | |

or MATH 453 | Numerical Optimization | |

Approved Electives | 12 | |

Select three courses in one of the following categories, with at least one course at the 300-level or above. ^{4,5} | ||

Physics Category: | ||

Planetary Systems | ||

Stars and Galaxies | ||

Cosmology | ||

General Physics II | ||

or PHYS 133 | General Physics III | |

Modern Physics I | ||

Thermal Physics I | ||

Classical Mechanics I | ||

Classical Mechanics II | ||

Introduction to Atmospheric Physics | ||

Ocean Dynamics | ||

Special Theory of Relativity | ||

Vibrations and Waves | ||

Optics | ||

Quantum Mechanics I | ||

Electromagnetic Fields and Waves I | ||

Solid State Physics | ||

Nonlinear Dynamical Systems | ||

Statistics Category: | ||

Statistics II | ||

Introduction to Probability and Simulation | ||

Design and Analysis of Experiments I | ||

Statistical Computing with SAS | ||

Statistical Computing with R | ||

Applied Linear Models | ||

Statistical Analysis of Time Series | ||

Survival Analysis Methods | ||

Categorical Data Analysis | ||

Applied Multivariate Statistics | ||

Survey Sampling and Methodology | ||

Design and Analysis of Experiments II | ||

Probability Theory | ||

Estimation and Sampling Theory | ||

Mathematical Statistics | ||

Computer Science Category: | ||

Data Structures | ||

Project-Based Object-Oriented Programming and Design | ||

Introduction to Computer Organization | ||

Design and Analysis of Algorithms | ||

Systems Programming | ||

Introduction to Database Systems | ||

Bioinformatics Algorithms | ||

Mechanical Engineering Category: | ||

Engineering Statics | ||

Engineering Dynamics | ||

Thermodynamics I | ||

Intermediate Dynamics | ||

Fluid Mechanics I | ||

Economics Category: | ||

Intermediate Microeconomics I | ||

Intermediate Microeconomics II | ||

Intermediate Macroeconomics | ||

Industrial Organization | ||

Mathematical Economics | ||

Probability Models for Economic Decisions | ||

Total units | 56 |

^{1} | Only students in the Applied Mathematics concentration who are pursuing a Data Science minor should select Track B. |

^{2} | Students who select Track B should select Approved Electives from the Statistics Category that will fulfill prerequisites for courses in the Data Science minor. |

^{3} | DATA 401 and DATA 403 must be taken concurrently with DATA 402. |

^{4} | Consultation with advisor is recommended prior to selecting Approved Electives; bear in mind your selections may impact pursuit of post-baccalaureate studies and/or goals. |

^{5} | Other choices are also possible, and should be pre-approved in consultation with an academic advisor. Approved Electives are to be taken oustide of the Mathematics department and should have significant applications to mathematics. |