AMC10
每年2月
难 度：
含金量：
American Mathematical Competition 10，10年级及以下学生参加，前2.5%可以晋级AIME
翰林国际教育Alevel Further Math-S进阶数学S辅导
Further Math进阶数学课程
进阶数学课程属于英国数学的下一阶段课程，数学和高等数学在申请大学时分别考试，并作为两门成绩被全球认可。高等数学考察纯数学、力学和统计学，在向量、矩阵、微积分方程、动静力学、统计模型等方面考察的内容较深，多为国内大学级别的高等数学课程，含金量与认可度很高。高数学习的时间一般是学生A2年级进行，也有极少数数学天赋出类拔萃的少年选择即完成部分或全部高等数学的学习。各大考试局对于A*的定义不完全一致，但通常总分在90%以上为A*。英国名校的理工科、金融类、经济类、心理学类等专业往往对申请者高等数学的学习有相关要求。
Further Math-S进阶数学-S课本
Further Math-S进阶数学-S真题
真题下载请前往【纯真题】小程序
翰林国际教育 Further Math-S进阶数学S辅导大纲
| Topic | Subtopics | Hours* | Homework | |
| Expectation algebra | Expectation & Variance of a Function of | |||
| Combinations of Random Variables | ||||
| Expectation & Variance of Sample Mean | ||||
| Poisson distribution | Suitability of a Poisson Distribution | |||
| Expectation & Variance | ||||
| Addition of Poisson Distributions | ||||
| Relationship of Inequalities | ||||
| Poisson Approximation of a Binomial Distribution | ||||
| Normal Approximation of a Poisson Distribution | ||||
| Continuous random variable | Probability Density Functions (pdf) | |||
| Cumulative Distribution Function (cdf) | ||||
| Expectation and Variance | ||||
| Obtaining f(x) from F(x) | ||||
| Distribution of a Function of a Random Variable | ||||
| Geometric & exponential distribution | Geometric Distribution | |||
| Cumulative Probabilities | ||||
| Mean & Variance of a Geometric Distribution | ||||
| Exponential Distribution | ||||
| Mean & Variance of an Exponential Distribution | ||||
| Sampling & Central Limit Theorem | Central Limit Theorem | |||
| Point and interval estimation | The Variance | |||
| Point Estimate & Confidence Interval | ||||
| Percentage Points for a Normal Distribution | ||||
| Confidence Interval for a Population Mean | ||||
| Confidence Interval for a Population Proportion | ||||
| Percentage Points for a t-Distribution | ||||
| Confidence Interval for a Population Mean with a Small Sample | ||||
| Hypothesis tests | Null & Alternative Hypothesis | |||
| Hypothesis Testing with Different Distributions | ||||
| Hypothesis Tests and Confidence Interval | ||||
| Type I and Type II Errors | ||||
| Comparison of Two Means | ||||
| Goodness of fit | Chi-squared Test | |||
| Comparing the chi-square Value | ||||
| Goodness of Fit to Prescribed Distribution Type | ||||
| Contingency Table | ||||
| Regression and correlation | Regression | |||
| Calculating the Regression Coefficient | ||||
| Two Regression Lines | ||||
| Correlation | ||||
| Product-Moment Correlation Coefficient | ||||
| Total |
*计划课时仅供学霸级学员参考，实际用时依学员具体情况会有调整。
Further Math进阶数学相关国际学术活动
国际课程+国际学术活动更具竞争力
AMC12
每年2月
难 度：
含金量：
American Mathematical Competition 12，适合12年级及以下学生参加，全球前5%可以晋级AIME
HiMCM
每年10月27日开赛
难 度：
含金量：
High School Mathematical Contest in Modeling，美国高中生数模学术活动，历史悠久，每年超千支队伍，Outstanding特等奖不足1%
Euclid数学学术活动
每年4月12日
难 度：
含金量：
Euclid Mathematics Contest,滑铁卢大学欧几里德数学学术活动，参赛对象12年级学生
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