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所在平台: Udemy |
课程主页: https://www.udemy.com/course/foundational-math-for-actuaries/
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**Coursera课程总结：精算师/CFA/FRM基础数学** 本课程由Fellow Actuary MJ主讲，旨在帮助学习者夯实精算师、CFA（特许金融分析师）和FRM（金融风险管理师）考试所需的基础数学知识。课程内容涵盖国际精算协会大纲要求的核心数学概念，与CFA和FRM的数学要求高度一致。 **课程内容详述：** * **集合与函数 (Sets and Function):** 深入讲解集合论和函数的概念。 * **微积分 (Differentiation & Integration):** * **微分:** 学习微分法则、求曲线的驻点、链式法则、乘积法则和商法则、偏导数、求曲面驻点，以及使用拉格朗日乘子法进行最优解求解。 * **积分:** 介绍积分概念、观察法积分、部分分式积分、换元积分法、分部积分法、二重积分。 * **微分方程 (Differential Equations):** 讲解微分方程的通解、特解、两个函数积分法以及积分因子。 * **数列与级数 (Sequences & Series):** 介绍数列和级数的基本概念，以及等差数列和等比数列。 * **线性代数 (Linear Algebra):** 涵盖线性代数基础，包括向量及其运算、矩阵及其运算、行列式和逆矩阵。 **讲师介绍：** MJ是一位资深精算师，自2013年起在YouTube上制作教学视频。他已通过所有精算师考试，主修数理统计，并在《南非科学杂志》上发表过关于人工智能的研究，还曾就高级学习方法做过TED演讲。MJ致力于确保学员理解每一个知识点，并随时提供帮助。 **其他课程：** MJ也提供R语言入门、数理统计、金融数学等以及更多精算科学和金融学相关课程。 完成本课程后，学员将能够应对精算职业的数理统计和金融数学相关考试。
Course OverviewBefore writing the Actuarial, CFA or FRM Exams, you need to have a solid understanding of Mathematics. In this course we will go through the International Actuarial Association syllabus requirements for Foundational Maths which is very similar to the requirement for CFA and FRM. We will look at Set Theory, Functions, Differentiation and Integration. Once you have completed this course you will be able to attempt the Mathematical Statistics and Financial Mathematics exams of the Actuarial Profession.ContentsSets and FunctionSet TheoryFunctionsDifferentiationRules of DifferentiationFinding Stationary Points on a curveChain RuleProduct & Quotient RulePartial DerivativesFinding Stationary Points on a surfaceLagrange Multipliers for Optimal SolutionsIntegrationIntroduction to the IntegralIntegration by InspectionPartial FractionsIntegration by SubstitutionIntegration by PartsDouble IntegralsDifferential EquationsGeneral SolutionParticular SolutionTwo FunctionsIntegrating FactorsSequences & SeriesIntroduction to Sequences and SeriesTheory of SequencesArithmetic ProgressionGeometric ProgressionSeriesLinear AlgebraIntroduction to Linear AlgebraVectors and their OperationsMatrices and their OperationsDeterminants and Inverse MatricesAbout the Presenter:Hi I'm MJ the Fellow Actuary. I've been making educational videos since 2013 on YouTube. I've passed all the actuarial exams and am here to help you do the same. I've majored in Mathematical Statistics and have published research in the South African Journal of Science on Artificial Intelligence. I've also done a Ted Talk on advanced studying methods. As your instructor my purpose is to make sure you understand every concept in these courses. If you get stuck with anything, send me a message, I'm here to help.Other Courses that I offer:Introduction to R programmingMathematical StatisticsFinancial MathematicsAnd more on Actuarial Science and Finance
