
教授介绍
Miller教授
威廉姆斯学院 数学系教授
科研大纲
L1: Introduction to GamesIncluding tic-tac-toe and generalizations, geometry games ( rectangles, chocolate bar, triangle), Conway’s checker game. These introduce the concept of a mono-variant.L2: Definitions
How do we define what is the right quantity to study? Topics include the notion of a mean, the AM-GM and generalizations, dimension and dimensional analysis (Pythagorean Theorem).L3: Fixed point theorems and fractals (iterate Newton’s method and win if iterate to your point).
Includes Intermediate Value Theorem and Pascal’s triangle. Connection with Triangle game.L4: Egg drop game
Including some good problems for students to explore. It can change what we are trying to minimize from the standard analysis. Talk about data collection and how that can inspire modeling.L5: German Tank Problem
If students have skills in coding and gathering data, this provides an opportunity to discuss real-world applications and limitations, good application of calculus and linear algebra.L6: Zeckendorf game
Introduction to Fibonacci numbers, interesting properties, the power of different methods of proof, and some open problems in a game related to Fibonacci numbers.
科研时间

项目优势
✨顶级教授亲自指导
教授任职于文理学院排名第一的威廉姆斯学院,在本科生的科研指导方面取得了丰硕成果。教授是Phi Beta Kappa Senate的Senator-at-large,且为American Mathematical Society成员。顶级教授亲自指导,助力科研成果的产出。✨自主研发的先进直播与录播系统
高效求知和研究离不开系统支持。课上实时互动,听课效率加倍提升;同时,课堂梗概、课后作业、历史讨论、课程文件随时帮大家准备好,便于追溯复习;此外,每节课前会收到贴心提醒,确保不会错失每一分钟。✨一对一指导答疑
课程围绕数学领域中实用性强的理论展开,为了帮助大家更好地习得知识并研究理论。我们设置了Office Hour,确保在全程中遇到的问题都可以获得针对性的指导,进一步促进科研成果的达成。✨表现优异者可获亲笔推荐信
认真钻研、作出成果是我们对同学们共同的期待,教授本人也非常欣赏积极参与研究的同学,并且愿意在学术发展上为同学提供更多助力,会为表现优秀的同学写推荐信。✨自主科研实践成果
科研进行中,同学们将会接受系统的课题训练、作出课题实践改进、完善个人研究方向的理论和实践细节,并在课题研究结束后形成独立研究报告。报名方式
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