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所在平台: Udemy |
课程主页: https://www.udemy.com/course/fundamentals-basics-of-mathematics/
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**课程名称：** 基础数学 (Fundamentals of Mathematics) **课程概览：** 本课程通过动画形式，以简洁、快速、生动有趣的方式教授数学基础知识。课程内容从入门和基础概念讲起，逐步深入到图形和数值分析，包含公式、验证和证明。最后，通过大量详解的例题巩固学习效果。 **课程特色：** * Animations and engaging visuals. * Concise and fast-paced lectures. * Ideal for learners who prefer shorter, impactful learning sessions. * Focuses on maximizing knowledge gain in a limited time. **涵盖主题：** 1. **集合 (Sets)** * 定义、名称、类型、表示法 * 数值问题 * 集合运算：定义、类型、性质、运算定律、德摩根定律（第一、第二） * 相关示例 * 文氏图：子集、不相交集合、相交集合、补集、差集 * 部分已解决问题 2. **二元运算 (Binary Operations)** * 定义、性质 * 加法定律及应用 * 乘法定律及应用 * 部分已解决问题 3. **数制系统 (Numerical System)** * 实数 (Real numbers) * 复数 (Complex numbers) * 复数推导与验证：共轭复数、复数模、相等与不等性质 * 加法定律 * 乘法定律 * 已解决问题 4. **坐标系 (Coordinate System)** * 笛卡尔坐标系 (Cartesian coordinate system)：X-Y 平面 * 复平面 (Complex plane) * 极坐标系 (Polar coordinate system) * 实数平面与复数平面 * 已解决的数值问题 5. **群 (Groups)** * 类别：群oid, Monoid, Semi-Group, Group, Abelian Group * 部分已解决问题
Learn the Fundamental of Mathematics through animation. This course includes videos explanation starting right from introduction and basics, then takes graphical and numerical phase with formulas, verification and proofs. At the end it carries plenty of solved numerical problems with the relevant examples. The lectures' videos are appealing, attractive, fancy (with some nice graphic designing), fast and take less time to walk you through the whole lecture. It's a prefect choice for students who feel boredom watching long lectures and wants things to finish them quickly with the maximum knowledge gain. So join me here and do it in a quick and easy way. This course covers the below list of topics:SetsIntroductionNamesTypes FormsNumerical problems Set OperationsIntroductionTypesPropertiesLaws of set operationDe Morgan's LawsDe Morgan's First Law De Morgan's Second Law Relevant examplesVenn DiagramsVenn diagrams for subset of sets Venn diagrams for disjoint of setsVenn diagrams for overlapping of setsVenn diagrams for complement of setsVenn diagrams for difference of sets. Some solved problemsBinary OperationsIntroductionProperties Addition Laws with applicationsMultiplication Laws with applicationsSome solved problems Numerical SystemReal numbersComplex numbersDerivations & VerificationConjugate of complex numbersmodulus of complex numbersProperties of equality & InequalityAddition LawsMultiplication Laws Solved ProblemsCoordinate SystemCartesian coordinate systemX-Y planeCartesian coordinate systemX-Y planeComplex planePolar coordinate systemReal plane & complex planeSolved numerical problemsGroupsCategoriesGroupoidMonoidSemi-GroupGroupAbelian GroupSome solved problems
