【科研论文】线性代数与微分方程的研究与应用

项目包含:科研能力提升课程、课题研究、学术论文写作指导,1对1推荐信沟通

项目收获:教授推荐信(100%美国大学网申提交),国际EI/CPCI会议期刊第一作者论文发表,科研项目证书,期刊收录证书,学术能力评估报告

课程费用:52750/人

描述

美国名校教授线上科研论文项目

项目成果

教授推荐信(100%美国大学网申提交)

国际EI/CPCI会议期刊第一作者论文发表

科研项目证书

期刊收录证书

学术能力评估报告


线性代数与微分方程的研究与应用
Developments and Applications in Linear Algebra with Differential Equations

Research introduction:

Matrix algebra and inverses, Gaussian elimination and solving systems of linear equations, determinants, vector spaces, linear dependence, bases, dimension, eigenvalue problems. First order differential equations including separable equations and linear equations. Linear nth order differential equations with constant coefficients, undetermined coefficients, first order linear homogenous systems of differential equations.

The concepts of a vector space, linearity and so forth found in linear algebra are what comes of stripping away the unnecessary information involved in solving simultaneous equations, studying systems of differential equations, higher order differential equations, multivariable calculus, as well as the physics of three (or four) dimensional space and advanced econometrics models. Just as a function is a higher level of abstraction than the quantity the function represents, vector spaces are more abstract than the functions, equations, or physical or economic situations which they represent.

Topics covered:

Applications of differential equations to physical, engineering, and life sciences. Finite-dimensional vector spaces over R (real numbers) and C (complex numbers) presented from two view points: axiomatically and with coordinate calculations. Forms, linear transformations, matrices, eigenspaces.


研究方向:

数学/理论数学/应用数学/线性代数/微分方程/微分几何

项目班型:

3-5人科研小班

项目导师:

美国名校教授,课题导师/论文导师

项目导师:

1.美国名校教授,课题导师/论文导师
2.Professor DL
(1)美国数学研究协会主席
(2)斯坦福大学应用数学教授
(3)马里兰大学数学科学院院长
(4)加州伯克利大学应用数学荣誉教授

适合学生

9-12年级高中在读, 相关专业本科,研究生


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