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所在平台: Udemy |
课程主页: https://www.udemy.com/course/permutations-combinations-tricks-math-precalculus-course/
课程评论:没有评论
**Coursera课程摘要:掌握排列、组合与概率基础** 本课程全面深入地讲解排列、组合与概率的基本概念,共包含81个教学视频,总时长超过9小时。课程内容分为8个主要章节,并特别增设了一个关于GMAT历年真题的专题部分。 **课程亮点:** * **深入讲解:** 每个知识点都通过大量例题进行详尽讲解,并鼓励学生在课堂上跟随解答。 * **实践练习:** 每节课后都提供练习题和测验,帮助学生巩固所学。 * **GMAT专练:** 包含20道GMAT历年真题的步骤化解题过程。 * **全方位支持:** 提供课程终身访问权限、问题解答和学习支持。 * **证书认证:** 完成课程可获得Udemy结业证书。 * **无忧保障:** 提供30天退款保证。 **核心内容概览:** **第一部分:排列 (Permutations)** 涵盖基本计数原理、直线排列、非全同元素排列、条件排列、带限制条件数位构成、圆周排列以及复杂的排列难题。 **第二部分:组合 (Combinations)** 深入讲解组合的性质、基本问题、带限制条件组合问题、组合难题以及涉及排列与组合的综合应用题,从简单到高阶问题均有覆盖。 **第三部分:概率 (Probability)** 系统介绍经验概率、理论概率、重要术语、硬币与骰子问题(含技巧)、事件代数、样本空间、互斥事件、基于数值的概率计算、几率分析、排列与组合在概率问题中的应用、涉及P(AUB)或P(AUB&B)的问题。 **第四部分:条件概率与贝叶斯定理 (Conditional Probability and Bayes' Theorem)** 详细解析条件概率、乘法定理及其应用,独立事件,以及全概率定律与贝叶斯定理的原理和应用,并提供大量实践练习。 **第五部分:GMAT历年真题 (GMAT - Past Paper Problems)** 提供GMAT考试历年真题的详细解题步骤。 **学员评价:** 学员普遍赞扬课程解释清晰,注重理论与实践结合,题目难度高且 instructor 乐于解答问题,同时也提供了快速解题的技巧。
This course is carefully designed to cover all the fundamental concepts of Permutations, Combinations & Probability.It has 81 lectures spanning 9+ hours of on-demand videos that are divided into 8 sections along with a special section on GMAT Past Paper problems. Each topic is explained extensively - by solving multiple questions along with the student during the lectures. The students are also provided and encouraged to solve practice questions & quizzes provided at the end of each topic.Topics covered in the course:PermutationsFundamental principles of countingArrangement in a rowPermutations of objects not all DistinctConditional PermutationsFormation of numbers with different restrictionsCircular PermutationsChallenging Problems on PermutationCombinationsProperties of C (n, r)Basic Problems on CombinationsCombination Problems with restrictionsChallenging questions on CombinationProblems involving both Permutations and CombinationsSimple problemsHighly Skilled ProblemsProbabilityEmpirical ProbabilityTheoretical ProbabilitySome Important terms of ProbabilityCoins and Simple Problems on CoinsDice short TricksAlgebra of Events based on Set TheorySample SpaceMutually Exclusive EventsProbability based on numbersOdds in favor and Odds againstProbability Based upon Permutation or arrangementsProbability based on combinations or selectionProblems on Balls using combinationsProblems involving P(AUB) or P(AUBUB)Conditional Probability and Baye's TheoremConditional ProbabilityPractice Problems on Conditional ProbabilityMultiplication Theorem on ProbabilityPractice Problems on Multiplication TheoremIndependent EventsPractice Questions on Addition & multiplication TheoremThe Law of Total Probability and Baye's TheoremThe law of total ProbabilityPractice Problems on the Law of Total ProbabilityBaye's TheoremPractice Problems on Baye's TheoremGMAT - Past Paper ProblemsGMAT Problems (step by step solutions of 20 problems)Here's what some students say about the course:"Great! Very good explanations with great care in conveying the principles as well as the practical aspects of the concepts" - Anacleto Correia"The course is amazing and the level of the questions is very high. Plus the instructor is also a supporting one. She answer each and every question. I am having a great learning till now" - Mayank Ahuja"Great Course. Very Useful Tricks provided to solve problems quickly" - Kamlesh JaiswalWith this course you'll also get:Full lifetime access to the courseComplete support for any question, clarification or difficulty you might face on the topicUdemy Certificate of Completion available for download30-day money back guaranteeFeel free to contact me for any questions or clarifications you might have.I look forward to seeing you in the course!:)