Differential Equations Part I Basic Theory

Korea Advanced Institute of Science and Technology(KAIST)

Differential Equations Part I Basic Theory

Instructors: Kwon, Kil Hyun

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56,781 already enrolled

9 modules

Gain insight into a topic and learn the fundamentals.

4.7

(1,431 reviews)

Beginner level

No prior experience required

Flexible schedule

1 week at 10 hours a week

Learn at your own pace

95%

Most learners liked this course

9 modules

Gain insight into a topic and learn the fundamentals.

4.7

(1,431 reviews)

Beginner level

No prior experience required

Flexible schedule

1 week at 10 hours a week

Learn at your own pace

95%

Most learners liked this course

Skills you'll gain

Details to know

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Assessments

9 assignments

Taught in English

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There are 9 modules in this course

This introductory courses on (Ordinary) Differential Equations are mainly for the people, who need differential equations mostly for the practical use in their own fields. So we try to provide basic terminologies, concepts, and methods of solving various types of differential equations as well as a rudimentary but indispensable knowledge of the underlying theory and some related applications.

What's included

9 videos1 assignment

9 videosTotal 76 minutes

1-1 What is a Differentiable Equation?4 minutes
1-2 Order and Normal Form6 minutes
1-3 Linear and Nonlinear Equations5 minutes
1-4 Solution5 minutes
1-5 Implicit Solution11 minutes
1-6 Types of Solutions12 minutes
1-7 Initial Value Problem10 minutes
1-8 Picard’s Theorem I10 minutes
1-9 Picard’s Theorem II9 minutes

1 assignmentTotal 30 minutes

Quiz130 minutes

What's included

9 videos1 assignment

9 videosTotal 84 minutes

2-1 Separable Equations6 minutes
2-2 Separable Equations - Ex’s 1 & 28 minutes
2-3 Separable Equations - Ex’s 3 & 49 minutes
2-4 Integrating Factor12 minutes
2-5 Does IVP Have a Unique Solution?6 minutes
2-6 Exact Equations I8 minutes
2-7 Exact Equations II18 minutes
2-8 Exact Equations – Ex. 110 minutes
2-9 Exact Equations – Ex. 25 minutes

1 assignmentTotal 30 minutes

Quiz230 minutes

What's included

12 videos1 assignment

12 videosTotal 104 minutes

3-1 Integrating Factor I7 minutes
3-2 Integrating Factor II7 minutes
3.3 Integrating Factor III10 minutes
3-4 Substitutions, Ex 18 minutes
3-5 Homogeneous Equations9 minutes
3-6 Substitutions Ex's 2 & 39 minutes
3-7 Bernoulli Equation9 minutes
3-8 Equations with Linear Coefficients9 minutes
3-9 Equations with Linear Coefficients - Ex. 57 minutes
3-10 Ricatti's Equation - Ex. 69 minutes
3-11 Clairaut's Equation8 minutes
3-12 Clairaut's Equation - Ex. 76 minutes

1 assignmentTotal 30 minutes

Quiz 330 minutes

What's included

5 videos1 assignment

What's included

5 videos1 assignment

What's included

9 videos1 assignment

9 videosTotal 81 minutes

6-1 Fundamental set of solutions8 minutes
6-2 General solutions13 minutes
6-3 Nonhomogeneous equations I7 minutes
6-4 Nonhomogeneous equations II5 minutes
6-5 Reduction of order I11 minutes
6-6 Reduction of order II8 minutes
6-7 Homogeneous linear equations with constant coefficients14 minutes
6-8 Homogeneous linear equations – Example4 minutes
6-9 Higher order equations6 minutes

1 assignmentTotal 30 minutes

Quiz630 minutes

What's included

5 videos1 assignment

What's included

4 videos1 assignment

What's included

5 videos1 assignment

Instructors

Instructor ratings

4.5 (297 ratings)

Kwon, Kil Hyun

Korea Advanced Institute of Science and Technology(KAIST)

1 Course56,781 learners

Kil Hyun Kwon

Korea Advanced Institute of Science and Technology(KAIST)

3 Courses57,373 learners

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Korea Advanced Institute of Science and Technology(KAIST)

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4.7

1,431 reviews

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Reviewed on Jul 15, 2021

It was very informative and has several examples which makes it easier to understand and solve problems. The pace of this course is 'just right' and it does not make one feel too bored to study it.

Reviewed on May 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.

Reviewed on Sep 21, 2020

I enjoyed learning Introduction to Ordinary Differential Equations on Coursera. My knowledge have been broadened and I give a big thumbs up to Professor Kwon, Kil Hyun.

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