|
所在平台: Udemy |
课程主页: https://www.udemy.com/course/game-of-matrices-a-crash-course-on-linear-algebra/
课程评论：没有评论
**课程名称：** 矩阵的博弈：线性代数速成班 **课程概述：** 本课程专为工程背景的学生设计，涵盖了线性代数的核心概念。扎实的线性代数知识将帮助学习者更轻松地理解向量概念，而向量在数据集中被广泛应用，例如： * **宏观与微观力学：** 计算抛射体运动等。 * **统计推断：** （例如，在医学研究中）。 * **热力学与传热学：** 理解更高级的概念。 * **计算机编程与研究：** 在一维和二维数组等形式中发挥作用。 * **信号分析与计算机图形学：** 利用贝塞尔曲线等设计图形。 * **高级应用：** 利用特征向量进行主成分分析，如面部识别。 **课程内容：** 1. **矩阵基础：** 涵盖行列式及其性质、矩阵的逆等。 2. **方程组：** 介绍如何理解和解决方程组。 3. **特征值与特征向量：** 深入探讨这一重要概念。 4. **LU分解：** 讲解 LU 分解及其相关内容。 **学习辅助：** * **问题集：** 包含 14 道不同模型的问题，覆盖课程中的大部分矩阵概念。 * **测验：** 包含 2 个小测验，帮助学习者检验自身掌握程度，增加互动性。
The course covers concepts of Linear Algebra essential for a student of engineering background.One with a great knowledge on Linear Algebra, going forward can easily understand concepts of vectors which is extensively used in various fields in the form of data sets which include likes of - 1. macro and micro mechanics of objects such as calculating projectile motions, 2. statistical inferences by medical researchers etc. 4. Heat Transfer, Thermodynamics concepts to understand various advanced concepts.4. Even in computer programming and research, linear algebra plays a part in the forms such as 1-D arrays. 2-D arrays5. Signal Analysis, design computer graphics using curves such as Bezier curves etc.6. Advances use of eigne vectors is used for component analysis such as facial recognitionIn this course we cover following:The basics of matrices such as Determinant and its properties, Inverse of matrix etc are explained in section 1. Once student is familiarized with basics, Concept - System of Equations is explained. Then comes Eigen values and vectors and finally followed by LU decomposition and related explanations.14 problems of different model each are covered for benefit of students involving almost all the concepts of matrices covered in the course.To make course a bit interactive, 2 quizzes are also included to test yourself.
