2023 ARML美国区域数学联赛冲刺班
翰林的ARML美国区域数学联赛冲刺班是为想要参加ARML比赛的学生提供。翰林的课程内容包括广泛的数学知识和技巧，包括数论、代数、几何和组合数学。翰林的课程目标是为学生提高数学竞赛水平，让他们有更好的竞争力。翰林提供高质量的学习材料和团队竞赛模拟考试，帮助学生更好地准备比赛。
- 课时：30课时/10次课
Product Details
参赛须知
ARML 区域学术活动内容包括几何，代数，组合数学，概率，不等式等，简答为主，以6 人制团队形式参赛，更加注重数学的趣味性、跨学科运用的综合性以及同学们团队协作能力。ARML晋级挑战赛仅邀请在ARML区域赛中获得优异成绩团队参赛，以团队形式参赛，题型全部为证明题。晋级挑战赛非常新颖，通常是以某热门社会话题、议题为切入点，让团队用数学的方法解决问题，非常强调数学的应用性。
比赛语言：英文
考试地点： 考点学校（建议考点学校的同学选择本校考试，非考点学校的同学可以联系本校相关负责老师申请成为考点组织考试）
参赛资格：高中各个年级学生，6人组队参赛
课程大纲
| Number Theory | Prime factorization; Number of divisors, Sum of divisors, Product of divisors; LCM and GCD |
| Euclidean Algorithm and Bezout's Theorem | |
| Congruence and Divisibility | |
| Chinese remainder theorem(CRT), Fermat’s little theorem, Euler’s function and theorem, Wilson's Theorem | |
| Diophantine Equations | |
| Algebra | Algebraic identities and Algebraic manipulations |
| Function Composition and Functional Equations (Induction and iteration Method) | |
| Polynomials and Vieta's Theorem; Newton's Sum; | |
| Fundamental inequalities, Cauchy inequality, other advanced inequalities | |
| Rescursive Sequence; Characteristic Equation | |
| Geometry | Basics in Geometry( Polygon; Area Method; The law of Cosine and the law of Sine) |
| Triangles, Centers of triangle; Menelaus's theorem, Ceva's theorem, Stewart Theorem | |
| Circles; Cyclic Quadrilateral;Power of Point Theorem: Ptolemy's theorem; Radical Axis; | |
| Probability and Statistic | Counting Principles (Sum Rules, Product Rules, Permutation and Combinations) |
| Geometric probability; Conditional Probability; Bayes Theorem | |
| Logic reasoning (Pigeon Hole's Principle; Winning Strategy; Prove by contradiction; Principles of Inclusion and Exclusion) | |
| Elementary Graph Theory; Coloring Problem and Labelling Method | |
| College Topics | Limit, Differentiation, and simple Integration, |
| Simple Series and convergency test | |
| Simple Group Theory |
