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所在平台: Udemy |
课程主页: https://www.udemy.com/course/combinatorics-for-math-contests/
课程评论：没有评论
**课程名称：** 数学竞赛组合学 (AMC, AIME & IMO) **课程概述：** 本课程共计27讲，总时长超过17小时，旨在全面涵盖组合学的理论知识和解题技巧。课程内容丰富，特别适合参加美国数学竞赛（AMC）、美国高中数学奥林匹克（AIME）、国际数学奥林匹克（IMO）、印度国家数学奥林匹克（RMO）、印度数学奥林匹克（INMO）等国家级及国际级数学竞赛的学生。 课程重点讲解了包括容斥原理、抽屉原理、单变量与不变量、递推关系求解、生成函数以及图论在内的多种高级组合学技巧。此外，课程还将深入探讨条件概率、组合游戏等主题，并通过大量的练习题帮助学员巩固和深化对这些知识点的理解。 课程结构清晰，分为“理论讲解”和“问题解决”两个部分，学员可以按照顺序学习，也可以在理论和实践之间自由切换，即学即练。本课程是为有志于深入学习奥林匹克组合学的学生量身定制，将帮助学员掌握大量新颖的思想和概念。讲师承诺会根据学员的加入和需求，持续更新增加更多的解题视频。学员如有任何疑问或需要特定主题的帮助，均可在Udemy平台上联系讲师，讲师将乐意补充相关内容。本课程是一个合作学习的平台，学员的反馈对于课程的改进至关重要。 **祝您学习愉快！**
This course has 27 lectures and over 17 hours of content. The course covers both the theoretical and problem-solving aspects of Combinatorics. As such, it will be useful for students who wish to appear in National and International Math Contests like the AMC, AIME, IMO, RMO, INMO etc. The course covers advanced techniques like Principle of Inclusion and Exclusion, Pigeonhole Principle, Mono variants and Invariants, solutions of Recurrence relations, Generating functions and Graph Theory. We also discuss problems based on Conditional Probability, Combinatorial Games and there are a lot of practice problems for you to gain a better understanding of these topics. The course is divided into two sections - Theory and Problem-solving lectures. You can do them in a sequence or you can switch between the two sections and get your hands dirty with some problems. Anyone who wishes to get started with Olympiad Combinatorics can use this course fruitfully and will learn a lot of new ideas and concepts. I will be adding more problem-solving videos to the course as students join in. Feel free to reach out to me on Udemy in case you need help with a particular topic, and I will be happy to add more content around that topic. This course is a collaborative learning experience, and your feedback makes the course better.Happy learning!
