Algebra for Math Contests (AMC, AIME, IMO)

所在平台: Udemy

课程主页: https://www.udemy.com/course/algebra-for-math-contests-amc-aime-imo/

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**课程名称:** 竞赛数学代数(AMC、AIME、IMO) **课程概述:** 本课程全面涵盖奥林匹克竞赛代数的所有主题,共分为五个部分。每个部分包含多个视频,深入讲解理论知识及应用。大部分部分还设有习题,收录了各类奥林匹克竞赛题目。 **课程内容亮点:** * **理论讲解:** 共计 25 个视频讲座,总时长近 20 小时,提供高质量的学习内容。 * **问题解析:** 课程中讨论了数百个问题,并详细解释了其解题思路。 * **高级主题:** 涵盖二次函数代数、高级不等式、复数及其性质、代数表达式的极值、包括拉格朗日恒等式和索菲·热尔曼恒等式在内的代数恒等式、多项式、自反多项式及其根、不可约性、插值和多项式差等。 * **习题设计:** 习题难度从入门级循序渐进至高级,专门为帮助学生冲击奥林匹克竞赛而设计。 * **个性化支持:** 对于习题有困难的学生, instructor will provide additional content (video solutions) for clarification. **目标学员:** 任何在奥林匹克竞赛代数领域遇到过特定概念或定理的学生,都可以在本课程中找到相关内容。 **学习目标:** 通过学习本课程,学生将能够掌握奥林匹克竞赛所需的代数知识和解题技巧,为参加 AMC、AIME、IMO 等数学竞赛做好充分准备。

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课程详情

The course covers all the topics in Olympiad Algebra. The entire course is divided into 5 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 25 video lectures, running for almost 20 hours of high-quality content. We discuss hundreds of problems in these 25 lectures while explaining the ideas. Some of the advanced topics covered in the course include - Algebra of Quadratic functions, Advanced Inequalities, Complex Numbers and their properties, extrema of algebraic expressions, Algebraic identities including Lagrange's identity and Sophie Germain identities, Polynomials, self-reciprocal polynomials and Roots of Polynomials, Irreducibility, Interpolation and Differences of Polynomials etc. We also cover lots of problems on these topics to help you crack the Olympiads.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 Algebra context, we have probably covered it in this course! Happy learning and have fun problem-solving!

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