30 自然科学课程 暑期课程 Programs in 北美

What are the theoretical limits of computing power? What problems can be solved with computers? Which ones cannot? And how can we reason about the answers to these questions with mathematical certainty? This course explores the answers to these questions and serves as an introduction to discrete mathematics, computability theory, and complexity theory. At the completion of the course, students will feel comfortable writing mathematical proofs, reasoning about discrete structures, reading and writing statements in first-order logic, and working with mathematical models of computing devices. Throughout the course, students will gain exposure to some of the most exciting mathematical and philosophical ideas of the late nineteenth and twentieth centuries.

High-performance computing (HPC) is a field at the forefront of a range of high-tech applications such as computational fluid dynamics, image processing, and financial risk management. With the demands of machine learning outstripping conventional computing, HPC is also at the forefront of artificial intelligence. This course will discuss how HPC clusters are used in large-scale problems in academia and industry alike. Students will learn about HPC clusters from the ground up and gain a solid foundation in parallel computer architectures, cluster operating systems, resource management, and containers. They will build their own systems via the remote installation of physical hardware, configuration and optimization of a high-speed network, and integration of other technologies used throughout the HPC world.

离散和连续时间马尔可夫链、泊松过程、随机游走、分支过程、首次通过时间、递归和瞬态、平稳分布。非统计学硕士生可能会考虑参加 STATS 215。

以神经毒素为视角，研究毒液对哺乳动物生理系统的影响；神经毒素的潜在临床应用；细胞和分子水平的神经毒素；神经毒性农药的作用机制和可能的影响；以及神经毒性化学武器的生理影响。

本课程将探讨在火星上建造人类居住地的挑战和机遇，整合土木工程、材料科学和太空探索领域的前沿研究。从理论概念到实际设计挑战，本课程弥合了地球工程与未来太空殖民之间的差距。

通过卫星对地球的观测，经济测量的可能性已经发生了变化。在本课程中，我们将研究免费和商业图像中的各种可能性，并将其与经济研究和工业中的应用联系起来。

分析不确定性下的问题的基本概念和工具，重点是结构化、模型构建和分析。法律、社会、医疗和身体问题的例子。主题包括概率公理、概率树、置信网络、随机变量、条件反射和期望。该课程节奏快，但没有先决条件。

CAS PY 105 课程涵盖了日常生活物理学的一些基本原理，包括力和运动、动量和能量、谐波运动、旋转以及热和热力学。

本课程通过借鉴古典和现代波斯文学作品，探讨伊朗电影中如何呈现传统与现代相互竞争的观念，以找出阅读与电影之间的潜在联系。

探索历史上文化接触促使欧洲人重新思考他们如何在文化和地理上定义自己的关键时刻。讲座和讨论与参观当地博物馆/档案馆相结合，以分析这一自我定义过程的物质遗迹。

估计和假设检验的基本概念、概率思想；单样本、双样本和多样本问题。应用领域是社会科学，学生将能够理解使用样本预测不确定性的基础知识。