Об этом курсе
4.6
69 ratings
24 reviews
In this introductory course on Ordinary Differential Equations, we first provide basic terminologies on the theory of differential equations and then proceed to methods of solving various types of ordinary differential equations. We handle first order differential equations and then second order linear differential equations. We also discuss some related concrete mathematical modeling problems, which can be handled by the methods introduced in this course. The lecture is self contained. However, if necessary, you may consult any introductory level text on ordinary differential equations. For example, "Elementary Differential Equations and Boundary Value Problems by W. E. Boyce and R. C. DiPrima from John Wiley & Sons" is a good source for further study on the subject. The course is mainly delivered through video lectures. At the end of each module, there will be a quiz consisting of several problems related to the lecture of the week....
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Beginner Level

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Предполагаемая нагрузка: 2-3 hours/week

Прибл. 18 ч. на завершение
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English

Субтитры: English
Globe

Только онлайн-курсы

Начните сейчас и учитесь по собственному графику.
Calendar

Гибкие сроки

Назначьте сроки сдачи в соответствии со своим графиком.
Beginner Level

Начальный уровень

Clock

Предполагаемая нагрузка: 2-3 hours/week

Прибл. 18 ч. на завершение
Comment Dots

English

Субтитры: English

Программа курса: что вы изучите

1

Раздел
Clock
2 ч. на завершение

Introduction

...
Reading
9 видео (всего 76 мин.), 1 тест
Video9 видео
1-2 Order and Normal Form6мин
1-3 Linear and Nonlinear Equations5мин
1-4 Solution5мин
1-5 Implicit Solution11мин
1-6 Types of Solutions12мин
1-7 Initial Value Problem10мин
1-8 Picard’s Theorem I10мин
1-9 Picard’s Theorem II9мин
Quiz1 практическое упражнение
Quiz116мин

2

Раздел
Clock
2 ч. на завершение

First Order Differential Equation 1

...
Reading
9 видео (всего 85 мин.), 1 тест
Video9 видео
2-2 Separable Equations - Ex’s 1 & 28мин
2-3 Separable Equations - Ex’s 3 & 49мин
2-4 Integrating Factor12мин
2-5 Does IVP Have a Unique Solution?6мин
2-6 Exact Equations I8мин
2-7 Exact Equations II18мин
2-8 Exact Equations – Ex. 110мин
2-9 Exact Equations – Ex. 25мин
Quiz1 практическое упражнение
Quiz212мин

3

Раздел
Clock
2 ч. на завершение

FIRST ORDER DEFERENTIAL EQUATION 2

...
Reading
12 видео (всего 104 мин.), 1 тест
Video12 видео
3-2 Integrating Factor II7мин
3.3 Integrating Factor III10мин
3-4 Substitutions, Ex 18мин
3-5 Homogeneous Equations9мин
3-6 Substitutions Ex's 2 & 39мин
3-7 Bernoulli Equation9мин
3-8 Equations with Linear Coefficients9мин
3-9 Equations with Linear Coefficients - Ex. 57мин
3-10 Ricatti's Equation - Ex. 69мин
3-11 Clairaut's Equation8мин
3-12 Clairaut's Equation - Ex. 76мин
Quiz1 практическое упражнение
Quiz 312мин

4

Раздел
Clock
1 ч. на завершение

Mathematical Modeling and Applications

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Reading
5 видео (всего 54 мин.), 1 тест
Video5 видео
4-2 Population Dynamics I9мин
4-3 Population Dynamics II7мин
4-4 Population Dynamics III13мин
4-5 Population Dynamics IV11мин
Quiz1 практическое упражнение
Quiz410мин
4.6

Лучшие рецензии

автор: 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 .

автор: 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.

Преподаватель

Kwon, Kil Hyun

Professor
Department of Mathematical Sciences

О 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....

Часто задаваемые вопросы

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

  • 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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