The courses below, made up of engineering, applied math, and other offerings, can be used to fulfill the DECES degree requirements. Courses are further separated into individual fields of emphasis. The core courses are taken by most students (depending on academic background).

For the most up to date and authoritative information, please consult Banner and Courses@Brown.

## Engineering Courses

Core Courses |

Math Methods in Engineering and Physics II (ENGN2020) |

Continuum Mechanics (ENGN2210) |

Computation |

Computational Methods in Structural Mechanics (ENGN2340) |

Isogeometric Methods in Computational Mechanics (ENGN2912N) |

Atomistic Modeling of Materials (ENGN2930) |

Data Science |

Pattern Recognition and Machine Learning (ENGN 2520) |

Solid Mechanics |

Advanced Mechanics of Solids (ENGN1750) |

Linear Elasticity (ENGN2240) |

Mechanics of Solids (ENGN2220) |

Plasticity (ENGN2290/AM237) |

Fracture Mechanics (ENGN2380) |

Fluids Mechanics |

Fluid Mechanics I (ENGN2810/APMA2410) |

Fluid Mechanics II (ENGN2820/APMA2420) |

Materials Science |

Thermodynamics of Materials (ENGN2410) |

Kinetic Processes and Mechanisms in Materials Science (ENGN2420) |

Deformation Behavior of Materials (ENGN2430) |

Crystal Structures and Crystallography (ENGN2490A) |

Chemical Engineering |

Chemical Kinetics and Reactor Engineering (ENGN2750) |

Catalyst Design and Atomistic Reaction Engineering (ENGN2770) |

Chemically Reacting Flow (ENGN2910Q) |

## Applied Math Courses

Advanced Undergraduate |

Introduction to Numerical Optimization (APMA1160) |

Computational Probability and Statistics (APMA1690) |

Information Theory (APMA1710) |

Recent Applications of Probability and Statistics (APMA1740) |

Wavelets and Applications (APMA1940Y) |

Theory |

Real Analysis (APMA2110) |

Theory of Probability I (APMA2630) |

Hilbert Spaces and Their Applications (APMA2120) |

Partial Differential Equations (APMA2230, 2240) |

Theory of Probability II (APMA2640) |

Computation |

Numerical Solution of PDEs I (APMA2550) |

Numerical Solution of PDEs II (APMA2560) |

Computational Fluid Dynamics/Optimization (APMA2580A/C) |

HPC/DATA |

Introduction to Parallel Computing on Heterogeneous (CPU+GPU) Systems (APMA2822B) |

TBD: Modeling Using Machine Learning and PDEs (APMA???)** |

** This course is currently being developed in place of APMA1150 and will focus on using Machine Learning

in PDE-based modeling.

## Other Courses

Deep Learning (CS2470) |

Advanced Thermodynamics (CHEM2010) |