我们为工程和科学应用设计最先进的数学和计算模型、方法和算法。该计划与学术界和工业界的工程师和科学家密切合作，开发改进的计算方法和推进学科领域。特别是，它利用了斯坦福在物理、生物、数学和信息科学工程应用方面的优势，并与斯坦福五所学院的近 20 个系建立了联系。

该项目确定了将受益于计算数学发挥关键作用的多学科方法的研究领域。这种多学科的知识环境是该项目的核心优势，具有不同背景和专业知识的学生和教师之间的互动。学生和教师活跃于许多研究领域：空气动力学和空间应用、流体动力学、蛋白质折叠、包括机器学习和推荐系统在内的数据科学、海洋动力学、气候建模、水库工程、计算机图形学、金融数学等等

Numerical Linear Algebra

Partial Differential Equations of Applied Mathematics

Discrete Mathematics and Algorithms

Numerical Solution of Partial Differential Equations

Optimization

Convex Optimization I

Stochastic Methods in Engineering

Basic Probability and Stochastic Processes with Engineering Applications

Requirement 2: Programming (3 units)

Aeronautics and Astronautics

Introduction to Symmetry Analysis

Computational and Mathematical Engineering

Introduction to Linear Dynamical Systems

Computational Biology: Structure and Organization of Biomolecules and Cells

Computational Biology in Four Dimensions

Computer Science

Artificial Intelligence: Principles and Techniques

Probabilistic Graphical Models: Principles and Techniques

Machine Learning

Introduction to Cryptography

Optimization and Algorithmic Paradigms

Topics in Computer Systems

Computer Graphics: Geometric Modeling & Processing

Electrical Engineering

Applied Quantum Mechanics II

Management Science and Engineering

Probabilistic Analysis

Stochastic Modeling

Simulation

Fundamentals of Data Science: Prediction, Inference, Causality

Introduction to Stochastic Control with Applications

Linear Programming

Discrete Mathematics and Algorithms

Stochastic Systems

Stochastic Calculus and Control

Mathematics

Stochastic Processes

Fundamental Concepts of Analysis

Introduction to Stochastic Differential Equations

Mathematical Finance

Mechanical Engineering

Finite Element Analysis

Introduction to Molecular Simulations

Spectral Methods in Computational Physics

Computational Methods in Fluid Mechanics

Statistics

Bootstrap, Cross-Validation, and Sample Re-use

Introduction to Stochastic Processes I

Stochastic Processes

Mathematical Finance

Applied Statistics I

Theory of Probability I

Topic: Monte Carlo

Mechanics and Finite Elements

Imaging with Incomplete Information

Machine Learning and Causal Inference

Analysis and Control of Nonlinear Systems

个人陈述——简洁、重点突出

三封推荐信（斯坦福大学教师优先）

当前的斯坦福成绩单（非官方，列出了获得的总学分和 GPA）以及斯坦福以外任何课程的成绩单

该项目的申请和所有支持文件必须在 1 月 12 日之前在线提交和接收 。

金融、计算机、信息行业等