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所在平台: Udemy |
课程主页: https://www.udemy.com/course/applied-numerical-methods-for-engineering-science-students/
课程评论：没有评论
课程名称：工程与科学学生的应用数值方法 课程简介： 本课程旨在为工程与科学专业的大学生提供应用数值方法的基础知识，特别适合对数值方法感兴趣的学生，或希望复习相关知识的学习者。由于科学和工程中的许多数学公式无法解析求解，因此需要采用数值方法，这种方法通常涉及大量的算术运算，非常适合在计算机上编程实现。此外，数值方法在金融和经济学领域也得到广泛应用。 课程内容： 本课程内容主要面向大二或大三学生，要求学生具备基本的微积分和计算机编程知识。主要涵盖的主题包括： - 误差分析与泰勒级数展开 - 根的寻找 - 线性和非线性方程组的解法 - 数值微分与积分 - 曲线拟合 此外，普通和偏微分方程的数值解法以及优化问题的讨论将在单独的课程中进行。为了最大限度地受益，学生需完成基础微积分课程，并且应具备插入编程语言的计算机。课程中提供了Fortran和Python语言的代码下载，同时使用Octave进行图形处理。此外，所有授课所用的PowerPoint幻灯片也可供下载。
Motivation:Many, if not most, mathematical formulations resulting from the application of physical laws in science and engineering are not amenable to analytic solutions. This leads to a numerical approach which generally involves the formulation of problems so that they may be solved using what is typically a large number of arithmetic operations, ideally suited for programming on a computer. Numerical methods are also widely employed in fields of finance and economics.This Course:This is a first course in applied numerical methods for engineering and science university students, or those interested in a refresher course in numerical methods. It may also be of interest to students with interests in the fields of finance and economics. Course content is aimed toward students at the sophomore or junior level who have a basic knowledge of calculus and computer programming. Topics covered include errors and Taylor series expansions, root finding, solution of systems of linear and nonlinear equations, numerical differentiation and integration, and curve fitting. The subject of numerical solutions to ordinary and partial differential equations is covered in a separate course as is the subject of optimization. To receive the most benefit from this course, students should have completed a basic calculus class and have access to a computer with a programming language installed. Codes are available for download in both Fortran and Python languages, while Octave is used for graphics. All PowerPoint slides used in the lectures are also available for download.
