|
所在平台: Udemy |
课程主页: https://www.udemy.com/course/maths-olympiad-master-class/
课程评论：没有评论
**Coursera 课程总结：数学奥林匹克大师班** 本课程“数学奥林匹克大师班”全面涵盖了数学奥林匹克竞赛的全部主题。课程共分为 25 个章节，每个章节包含多个视频，深入讲解理论知识和实际应用。大部分章节还配有来自各类奥赛的习题assignment。 课程的理论部分共包含 60 个视频讲座，总时长接近 46 小时的高质量内容。在这些讲座中，我们将讨论数百道题目，并详细阐述解题思路。 课程涵盖的进阶主题包括：函数、最大值/最小值、不等式、三角学、三角形几何、集合与划分、函数方程、极值原理、数列与级数、高等不等式、解析几何（包括圆锥曲线）、曲线族、数学归纳法、复数及其性质、递推与周期数列、构造法、组合数学、容斥原理、递推计数、数论、同余、丢番图方程、多项式、多项式的根、不可约性、插值与多项式差等。 习题assignment的设计循序渐进，从入门到高级。如果学习过程中遇到困难，学生可以联系讲师，讲师将提供额外的视频解答来帮助大家 Clarify 疑虑。 本课程力求覆盖你在任何奥赛数学背景下遇到的特定概念或定理。祝大家学习愉快，享受解题的乐趣！
The course covers all the topics in Olympiad Maths. The entire course is divided into 25 sections. Each section has multiple videos which cover the theory and applications. Most sections also have assignment with problems from various Olympiads. The theory for the course is covered in a total of 60 video lectures, running for almost 46 hours of high-quality content. We discuss hundreds of problems in these 60 lectures while explaining the ideas. Some of the advanced topics covered in the course include - Functions, Maxima/Minima, Inequalities, Trigonometry, Triangle Geometry, Sets and Partitions, Functional Equations, The extreme principle, Sequences and Series, Advanced Inequalities, Analytic Geometry including Conic Sections, Families of Curves, Mathematical Induction, Complex Numbers and their properties, Recursive and Periodic Sequences, The Construction Method, Combinatorics, Principle of Inclusion and Exclusion, Recursive counting, Number Theory, Congruences, Diophantine Equations, Polynomials, Roots of Polynomials, Irreducibility, Interpolation and Differences of Polynomials etc. The assignment problems have been specially designed to go from beginner to advanced levels. Any students who face difficulties with the assignments can reach out to the instructor and I shall try and provide more content (video solutions) to help clarify your issues. If you have come across a particular idea or theorem in any Olympiad Maths context, we have probably covered it in this course! Happy learning and have fun problem-solving!
