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所在平台: Udemy |
课程主页: https://www.udemy.com/course/complete-a-level-maths-statistics-in-6-lectures/
课程评论：没有评论
**Coursera课程《6讲学完A-Level数学：统计学》内容总结** 本课程由两位剑桥大学毕业生创立的Westbound Maths提供，旨在帮助学生为A-Level数学考试（统计学部分）进行备考和提高成绩。课程覆盖了A-Level应用数学统计学 syllabus 的全部内容，这部分内容占A-Level数学总考试权重的六分之一。 **课程特色与结构：** * **内容全面：** 课程共由6讲组成，包含7小时以上的教学视频，涵盖了统计学的核心概念和应用。 * **实战导向：** 每讲视频都从关键概念和定义入手，随后立即通过历年真题（来自各大主流考试局）展示这些概念的实际应用，并提供考题风格的课堂练习及详细解答，帮助学生理解考查方式。 * **配套材料：** 每讲配备讲义，总结核心概念、解题示例和练习解答；另有包含考题风格的课后作业，鼓励学生在模拟考试条件下完成，以发现知识盲点。 * **重点在于“诊断错误”：** 课程强调通过详尽的解题思路来诊断作业中的错误，这是提升成绩的关键。 **课程教授的核心话题：** 1. **统计抽样方法 (Statistical Sampling Methods)：** 随机抽样与非随机抽样方法的区别、优劣势分析。 2. **统计量 (Statistical Measures)：** * **集中趋势度量：** 众数、中位数、平均数、四分位数、百分位数。 * **离散程度度量：** 四分位距 (IQR)、方差、标准差。 3. **相关与回归 (Correlation, Linear and Exponential Regression)：** 变量之间的相关性分析及线性/指数回归模型的建立。 4. **离散概率分布 (Discrete Probability Distribution)：** 离散均匀分布、离散非均匀分布；二项分布。 5. **连续概率分布 (Continuous Probability Distribution)：** 正态分布、标准正态分布；以及使用正态分布近似二项分布。 6. **假设检验 (Hypothesis Testing)：** * 检验两个变量之间的相关性。 * 检验二项分布成功概率是否等于特定值。 * 检验正态分布均值是否等于特定值。 7. **概率 (Probability)：** 使用文氏图求解概率；条件概率。 **对于过往学生的成效：** Westbound Maths 提供的课程曾帮助88%的学员将最终成绩提升了至少一个等级。
Founded by two recent Cambridge graduates, Westbound Maths has been running in-person training for students based in North London since 2018, and now we are online! Our courses are designed for Exam Preparation and Grade Improvement with proven results- 88% of our past students improved their final grades by at least one band from predicted grades!What Complete A-Level Maths: Statistics Course in 6 Lectures teach:The Westbound Maths Complete A-Level Applied Maths: Statistics Course covers the entire A-Level applied Maths: statistcis syllabus which represents 1/6 of the final exam weight for A-Level Mathematics qualification. The course consists of 6 lectures with over 7 hours of class videos, accompanying exam- styled homework and detailed mark scheme for the following topics:Statistical Sampling Methods: random vs. non-random sampling methods, and their respective advantages and disadvantagesStatistical Measures: measures of location including mode, median, mean, quartiles and percentiles; measures of spread including interquartile range (IQR), variance and standard deviationCorrelation, linear and exponential regressionDiscrete Probability Distribution: discrete uniform distribution, discrete non-uniform distribution; and binomial distributionContinuous Probability Distribution: normal distribution, standard normal distribution; approximating binomial distribution using normal distribution.Hypothesis testing and its three applications: 1) testing for the correlation between two variables; 2) testing whether the probability of success in a binomial distribution is of a certain value; 3) testing whether the mean of a normal distribution is of a certain value. Probability: how to find probabilities using a Venn diagram; conditional probability. How to fully utilize the course materials:Class video: we always start with the key concepts and definition within a topic, and then jump straight into a past exam question (sourced across major exam boards) to see how these concepts are tested and applied, then you will be given an exam-styled classroom exercise for practice followed by a detailed step-by-step guide on how to solve it.Handouts: every lecture is accompanied with a handout that summarizes key concepts covered, exam- styled question solving examples, and classroom exercise solutions.Homework with exam-styled questions: for each lecture, the homework contains exam-styled questions which should be completed under exam conditions to help students identify any knowledge gap.Mistake Diagnosis: use the detailed sample solution to diagnose any mistake in homework which is the key to grade improvement.
