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.
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Introduction to Ordinary Differential Equations
Korea Advanced Institute of Science and Technology(KAIST)
Über diesen Kurs
76,812 kürzliche Aufrufe
Karriereergebnisse der Lernenden
25%
ziehen Sie für Ihren Beruf greifbaren Nutzen aus diesem Kurs
Karriereergebnisse der Lernenden
25%
ziehen Sie für Ihren Beruf greifbaren Nutzen aus diesem Kurs
Zertifikat zur Vorlage
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100 % online
Beginnen Sie sofort und lernen Sie in Ihrem eigenen Tempo.
Flexible Fristen
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Stufe „Anfänger“
Ca. 18 Stunden zum Abschließen
Englisch
Untertitel: Englisch
von
Korea Advanced Institute of Science and Technology(KAIST)
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.
Lehrplan - Was Sie in diesem Kurs lernen werden
2 Stunden zum Abschließen
Introduction
2 Stunden zum Abschließen
9 Videos (Gesamt 76 min)
9 Videos
1-2 Order and Normal Form6m
1-3 Linear and Nonlinear Equations5m
1-4 Solution5m
1-5 Implicit Solution11m
1-6 Types of Solutions12m
1-7 Initial Value Problem10m
1-8 Picard’s Theorem I10m
1-9 Picard’s Theorem II9m
1 praktische Übung
Quiz116m
2 Stunden zum Abschließen
First Order Differential Equation 1
2 Stunden zum Abschließen
9 Videos (Gesamt 85 min)
9 Videos
2-2 Separable Equations - Ex’s 1 & 28m
2-3 Separable Equations - Ex’s 3 & 49m
2-4 Integrating Factor12m
2-5 Does IVP Have a Unique Solution?6m
2-6 Exact Equations I8m
2-7 Exact Equations II18m
2-8 Exact Equations – Ex. 110m
2-9 Exact Equations – Ex. 25m
1 praktische Übung
Quiz212m
2 Stunden zum Abschließen
FIRST ORDER DEFERENTIAL EQUATION 2
2 Stunden zum Abschließen
12 Videos (Gesamt 104 min)
12 Videos
3-2 Integrating Factor II7m
3.3 Integrating Factor III10m
3-4 Substitutions, Ex 18m
3-5 Homogeneous Equations9m
3-6 Substitutions Ex's 2 & 39m
3-7 Bernoulli Equation9m
3-8 Equations with Linear Coefficients9m
3-9 Equations with Linear Coefficients - Ex. 57m
3-10 Ricatti's Equation - Ex. 69m
3-11 Clairaut's Equation8m
3-12 Clairaut's Equation - Ex. 76m
1 praktische Übung
Quiz 312m
1 Stunde zum Abschließen
Mathematical Modeling and Applications
1 Stunde zum Abschließen
5 Videos (Gesamt 54 min)
5 Videos
4-2 Population Dynamics I9m
4-3 Population Dynamics II7m
4-4 Population Dynamics III13m
4-5 Population Dynamics IV11m
1 praktische Übung
Quiz410m
Bewertungen
Top-Bewertungen von INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS
von RVJan 12, 2020
The course is correctly paced. The lectures are extremely good and carries lots of details. Overall, the course is very well organized, extremely thankful to the instructor and others for the support.
von SKJun 18, 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 .
von RAMay 19, 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.
von NSFeb 10, 2018
Really Helpful. Very structured and enough examples to illustrate the concepts. The quizzes are good and sometimes need an extrapolation of the knowledge in the lecture.
von BSOct 9, 2019
coursera is best online platform to learning. i recommend every college school student to learn from coursera it's far better than your school and college teacher
von YYOct 4, 2018
This is a very good course ,It helps me to be an expert in the field of Ordinary differential equation\n\nThanks a lot to Coursera for to provide this course
von MAFeb 12, 2020
It's a great course I recommend to everyone. And we are looking forward to a partial differential equation (PDE) course sooner.\n\nThank you!
von EHJan 5, 2018
It's a really amazing course. Really glad that I take. Some of the video has little sound, but overall it's really good and clear.
von ABMar 11, 2019
Prof not very interactive, there is less motivation for students to discuss among each other but course content is very good!
von AGApr 17, 2019
wonderful course with the best teacher and his teaching, by this i come to know a few topics in mathematics
von MAFeb 19, 2019
Very nice course offered.This course improve my knowledge and skills.I hope that will help me in future.
von SDMar 1, 2018
good course for beginners..discusses the fundamentals of solving differential equations analytically.
von DAMar 17, 2019
A VERY HELPFUL AND WELL EXPLAINED SET OF VIDEOS, HELPED ME UNDERSTAND THIS COURSE QUITE EFFECTIVELY.
von YZOct 6, 2018
Great course - very clear and practical. I appreciate the professor's teaching as well as the exams.
von HDSep 27, 2018
Well structured course. It starts right with the basics and goes all the way to UG level toughness.
von CMFeb 7, 2018
Clear explanation of each concept and then each concept is reinforced with associated exercises.
von SMar 15, 2019
I got my all the doubts cleared and some of the basics also. the explanation is also very good.
von RMDec 16, 2019
Very nice experience.I refreshed my knowledge of differential equation ,Thanks to Coursera.
von CMar 13, 2020
I love it!! Simple explanations and the professor doesn't make it look complicated!!
von CKSep 28, 2018
The one of the course of its kind. Very helpful to students and very informative.
Häufig gestellte Fragen
Wann erhalte ich Zugang zu den Vorträgen und Aufgaben?
Sobald Sie sich für ein Zertifikat angemeldet haben, haben Sie Zugriff auf alle Videos, Quizspiele und Programmieraufgaben (falls zutreffend). Aufgaben, die von anderen Kursteilnehmern bewertet werden, können erst dann eingereicht und überprüft werden, wenn Ihr Unterricht begonnen hat. Wenn Sie sich den Kurs anschauen möchten, ohne ihn zu kaufen, können Sie womöglich auf bestimmte Aufgaben nicht zugreifen.
Was bekomme ich, wenn ich das Zertifikat erwerbe?
Wenn Sie ein Zertifikat erwerben, erhalten Sie Zugriff auf alle Kursmaterialien, einschließlich bewerteter Aufgaben. Nach Abschluss des Kurses wird Ihr elektronisches Zertifikat zu Ihrer Seite „Errungenschaften“ hinzugefügt – von dort können Sie Ihr Zertifikat ausdrucken oder es zu Ihrem LinkedIn Profil hinzufügen. Wenn Sie nur lesen und den Inhalt des Kurses anzeigen möchten, können Sie kostenlos als Gast an dem Kurs teilnehmen.
Wie erfolgen Rückerstattungen?
Ist finanzielle Unterstützung möglich?
Is there any prerequisite for the course?
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.
Q2. What are the main goals of the course?
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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