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3.016材料科学家和工程师数学

3.016 Mathematics for Materials Scientists and Engineers
课程网址: http://ocw.mit.edu/courses/materials-science-and-engineering/3-01...  
主讲教师: Prof. W. Craig Carter
开课单位: 麻省理工学院
开课时间: 2005-01-01
课程语种: 英语
中文简介:
本课程涵盖了理解材料科学和工程主题所需的数学技术,如能量学、材料结构和对称性、材料对应用领域的响应、固体和软材料的力学和物理学。该课程使用材料科学与工程核心课程(3.012 和 3.014)中的例子来介绍数学概念和与材料相关的问题解决技能。主题包括线性代数和正交基、特征值和特征向量、二次形式、张量运算、对称运算、多个变量的微积分、复分析简介、常微分方程和偏微分方程、分布理论和傅里叶分析。 用户可以在 Carter 教授的 3.016 课程网站上找到其他或更新的材料。
课程简介: This course covers the mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from the materials science and engineering core courses (3.012 and 3.014) to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, and fourier analysis. Users may find additional or updated materials at Professor Carter's 3.016 course Web site.
关 键 词: 材料科学; 线性代数; 标准正交基; 特征向量
课程来源: 麻省理工学院公开课
最后编审: 2024-05-28:chenjy
阅读次数: 38