Vector Algebra (Part I): A Pre-Calculus Series

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课程主页: https://www.udemy.com/course/vector-algebra-i/

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**课程名称:** 向量代数 (第一部分):预备微积分系列 **课程概述:** 本课程是关于向量代数的入门课程,旨在帮助学习者掌握向量的基本概念、运算以及在工程和科学领域的广泛应用。课程内容从基础的向量与标量区分、表示方法和性质开始,逐步深入到向量加法的法则、向量分量,以及向量的点积和叉积的理解、重要性、意义和性质。课程还包含对点积和叉积的深入比较,以及它们之间的重要关系。最后,课程将通过功、力矩、三角形和 parallelogram 面积等实际应用案例,展示向量代数的强大功能。 **课程结构 (共6个模块):** * **模块一:** 向量与标量的基础知识、表示方法、向量性质 * **模块二:** 向量加法法则、向量分量 * **模块三:** 点积 - 理解、重要性、意义和性质 * **模块四:** 叉积 - 理解、重要性、意义和性质 * **模块五:** 点积与叉积的洞察与比较、两个向量之间的夹角、重要结果 * **模块六:** 应用部分 - 功、力矩(转矩)、三角形和 parallelogram 的面积 每个模块包含详细的概念讲解和已解决的示例。 **课程特色:** * 内容由浅入深,覆盖从基础到中级水平的向量知识。 * 提供终身访问权限。 * 通过问答区提供支持和疑难解答。 * 本系列课程的第二部分将包含三维几何中的更高级概念和应用。 **目标受众:** 本课程适合有志于在竞争性考试中取得优异成绩,或希望深入了解向量代数在工程与科学领域应用的学习者。 **讲师:** Pranav Trivedi

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Vector quantities are widely used and major impact on various engineering and science fields. Understanding the vector algebra, how the products of vectors and applications of the same are important in very competitive examinations. So this course is designed in a such way that it will fulfill both above persectives.This course contains details about the vectors from the very basics to the intermediate level. The course is divided into 6 modules, rich with contents as follows:Module 1: Basics of vector and scalars, Representation, Properties of vectorsModule 2: Laws of Vector addition, Components of vectorModule 3: Dot Product - Understaning, Importance, Significance and propertiesModule 4: Cross Product - Understaning, Importance, Significance and propertiesModule 5: Insights and Comparison between Dot & Cross products, Angle between two vectors, Important resultsModule 6: Application part - Work done, Torque (moment), Area of a Triangle and ParallelogramEach of the above modules has a detailed explanation of concepts followed by Solved examples.Course has Lifetime access with support and doubt solving via the Q & A section.The second part of this course will include higher level of concepts with application in 3D geometry as well.So, Enroll today and dive into the world of vectors.Waiting for you inside the course!- Pranav Trivedi

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