课程信息
4.6
100 个评分
34 个审阅
100% online

100% online

立即开始,按照自己的计划学习。
可灵活调整截止日期

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初级

初级

完成时间(小时)

完成时间大约为17 小时

建议:2-3 hours/week...
可选语言

英语(English)

字幕:英语(English)...
100% online

100% online

立即开始,按照自己的计划学习。
可灵活调整截止日期

可灵活调整截止日期

根据您的日程表重置截止日期。
初级

初级

完成时间(小时)

完成时间大约为17 小时

建议:2-3 hours/week...
可选语言

英语(English)

字幕:英语(English)...

教学大纲 - 您将从这门课程中学到什么

1
完成时间(小时)
完成时间为 2 小时

Introduction

...
Reading
9 个视频(共 76 分钟), 1 个测验
Video9 个视频
1-2 Order and Normal Form6分钟
1-3 Linear and Nonlinear Equations5分钟
1-4 Solution5分钟
1-5 Implicit Solution11分钟
1-6 Types of Solutions12分钟
1-7 Initial Value Problem10分钟
1-8 Picard’s Theorem I10分钟
1-9 Picard’s Theorem II9分钟
Quiz1 个练习
Quiz116分钟
2
完成时间(小时)
完成时间为 2 小时

First Order Differential Equation 1

...
Reading
9 个视频(共 85 分钟), 1 个测验
Video9 个视频
2-2 Separable Equations - Ex’s 1 & 28分钟
2-3 Separable Equations - Ex’s 3 & 49分钟
2-4 Integrating Factor12分钟
2-5 Does IVP Have a Unique Solution?6分钟
2-6 Exact Equations I8分钟
2-7 Exact Equations II18分钟
2-8 Exact Equations – Ex. 110分钟
2-9 Exact Equations – Ex. 25分钟
Quiz1 个练习
Quiz212分钟
3
完成时间(小时)
完成时间为 2 小时

FIRST ORDER DEFERENTIAL EQUATION 2

...
Reading
12 个视频(共 104 分钟), 1 个测验
Video12 个视频
3-2 Integrating Factor II7分钟
3.3 Integrating Factor III10分钟
3-4 Substitutions, Ex 18分钟
3-5 Homogeneous Equations9分钟
3-6 Substitutions Ex's 2 & 39分钟
3-7 Bernoulli Equation9分钟
3-8 Equations with Linear Coefficients9分钟
3-9 Equations with Linear Coefficients - Ex. 57分钟
3-10 Ricatti's Equation - Ex. 69分钟
3-11 Clairaut's Equation8分钟
3-12 Clairaut's Equation - Ex. 76分钟
Quiz1 个练习
Quiz 312分钟
4
完成时间(小时)
完成时间为 1 小时

Mathematical Modeling and Applications

...
Reading
5 个视频(共 54 分钟), 1 个测验
Video5 个视频
4-2 Population Dynamics I9分钟
4-3 Population Dynamics II7分钟
4-4 Population Dynamics III13分钟
4-5 Population Dynamics IV11分钟
Quiz1 个练习
Quiz410分钟
4.6
34 个审阅Chevron Right

热门审阅

创建者 SKJun 19th 2018

I heartily thankful to Coursera team who helped me lot to complete this course and last but not least I would like to say thanks to Prof. K.H.Kwon.I have learned lot thorough this course .

创建者 RAMay 20th 2018

I have enjoyed taking this course. The topics have been divided very well in that they are not too long and hard just the right amount. The lecturer was delightful and easy to understand.

讲师

Avatar

Kwon, Kil Hyun

Professor
Department of Mathematical Sciences

关于 Korea Advanced Institute of Science and Technology

The Korea Advanced Institute of Science and Technology (KAIST) was established in 1971 by the Korean government as the nation’s first research-intensive graduate school for science, engineering and technology. It has now grown into one of the world’s best universities, delivering top notch education and research programs for undergraduate and graduate students. KAIST encourages interdisciplinary and convergent research across a wide spectrum of disciplines, as well as strong collaborations with industry and global institutions....

常见问题

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  • Yes. One must be familiar with the basic differential and integral calculus, which are the main contents of college level introductory Calculus course. Although the course does not require more than high school linear algebra, it will be very helpful if one has a little bit of knowledge on Linear Algebra such as the determinant of a square matrix, linear (in)dependence of vectors, and Cramer’s rule of solving a determined system of simultaneous linear algebraic equations.

    "The beginner should not be discouraged if he finds that he does not have the prerequisites for reading the prerequisites.' from P. R. Halmos, I want to be a mathematician, Math. Assoc. America, 1985.

  • The course is designed to introduce basic theory, techniques, and applications of differential equations to beginners in the field, who would like to continue their study in the subjects such as natural sciences, engineering, and economics etc. The course is emphasizing methods and techniques of solving certain differential equations.

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