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所在平台: Udemy |
课程主页: https://www.udemy.com/course/discrete-math-high-school-junior-high/
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**课程名称：** 离散数学及其应用（高中/初中课程） **课程概述：** 本课程旨在为高中及初中学生提供离散数学的入门级概览，重点关注其在工程、计算机科学、商业、经济学、科学以及通用问题解决和批判性思维等领域的现实世界应用。不同于传统的代数、微积分和几何，离散数学涉及许多基础理论，是许多高阶学习和职业发展的基石。 尽管离散数学在高等教育和众多职业领域中应用广泛，但在美国高中阶段的普及度并不高，主要原因是SAT考试中未包含相关内容。通过学习本课程，学生可以： * **激发学习兴趣：** 接触新兴技术和职业领域，拓展对应用数学的理解。 * **为未来学习打下基础：** 为进入大学或从事与系统、工程、计算机科学、商业和经济学相关的职业做好准备。 * **提升思维能力：** 锻炼批判性思维和解决问题的能力。 本系列课程采用易于理解的讲解方式，通过包含课堂练习和课后作业，让学生能够亲身体验离散数学的魅力。每节课都包含暂停视频完成练习并与教师核对答案的环节，并提供课后练习题及答案。 **核心内容：** * **命题逻辑：** 运算、真值表、简化命题。 * **图论：** 基本概念、最短路径算法。 * **集合论：** 基本概念、文氏图、集合运算、一阶集合逻辑。 * **状态机。** * **数论：** 互质数、同余类。 * **计数：** 组合、排列。 * **概率。** * **证明：** 直接证明、逆否证法、分类讨论证明。 本课程的教学灵感来源于Oscar Levin的著作《离散数学：开放导论》。
School Computer Curriculum - Suitable for part of a semester for high school or middle school gradesFor teacher curriculum bundle see Termeric Education website.Discrete Mathematics covers many fundamental theories which are the foundation for many fields in systems, engineering, computer science, business, economics, sciences, general problem solving, critical thinking, and more. Roughly, it is the math that is not part of Algebra/Calculus/Geometry which are typically taught in schools.Sadly, despite its application in higher education and many careers and fields, Discrete Mathematics is seldom taught in the USA high schools, for the unfortunate reason that it is not covered in the SAT examinations.Learning about topics in Discrete Mathematics can help junior high and high school students in the following ways:Find inspiration about future technology and other career interests by encountering new topics from a different kind of applied mathPrepare their minds for future technical knowledge they will encounter in college or many careers in systems, engineering, computer science, business, and economicsImprove upon their critical thinking and problem solving skillsIn this class series, high school and junior high students get an accessible, hands-on overview to several topics in Discrete Math. We won't go too deep in each subject, but students will get a nice preview of several important subjects in Discrete Math and understand their application to the real world.Each class includes class-time exercises. The student will be prompted to pause the video, do the exercise, and then resume the video to compare his/her work with the teacher. Each unit includes take-home exercises and solutions.Topics covered in this course include:Propositional LogicOperationsTruth TablesSimplifying StatementsGraphsBasic ConceptsShortest Path AlgorithmSets Basic ConceptsVenn DiagramsOperationsFirst-Order Set Logic State Machines Number TheoryCoprimesRemainder ClassesCountingCombinationsPermutationsProbabilityProofsDirectBy ContrapositiveBy CasesI have used "Discrete Mathematics: An Open Introduction" by Oscar Levin, a great free online textbook, as an inspiration to create this course.
