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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57,947 already enrolled

9 modules

Gain insight into a topic and learn the fundamentals.

1,436 reviews

Beginner level

No prior experience required

Flexible schedule

2 weeks 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.

1,436 reviews

Beginner level

No prior experience required

Flexible schedule

2 weeks 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 videos Total 77 minutes

1-1 What is a Differentiable Equation? 5 minutes
1-2 Order and Normal Form 6 minutes
1-3 Linear and Nonlinear Equations 6 minutes
1-4 Solution 6 minutes
1-5 Implicit Solution 11 minutes
1-6 Types of Solutions 12 minutes
1-7 Initial Value Problem 10 minutes
1-8 Picard’s Theorem I 10 minutes
1-9 Picard’s Theorem II 10 minutes

1 assignment Total 30 minutes

Quiz1 30 minutes

What's included

9 videos1 assignment

9 videos Total 85 minutes

2-1 Separable Equations 7 minutes
2-2 Separable Equations - Ex’s 1 & 2 8 minutes
2-3 Separable Equations - Ex’s 3 & 4 9 minutes
2-4 Integrating Factor 12 minutes
2-5 Does IVP Have a Unique Solution? 6 minutes
2-6 Exact Equations I 9 minutes
2-7 Exact Equations II 18 minutes
2-8 Exact Equations – Ex. 1 10 minutes
2-9 Exact Equations – Ex. 2 5 minutes

1 assignment Total 30 minutes

Quiz2 30 minutes

What's included

12 videos1 assignment

12 videos Total 104 minutes

3-1 Integrating Factor I 8 minutes
3-2 Integrating Factor II 7 minutes
3.3 Integrating Factor III 11 minutes
3-4 Substitutions, Ex 1 8 minutes
3-5 Homogeneous Equations 10 minutes
3-6 Substitutions Ex's 2 & 3 10 minutes
3-7 Bernoulli Equation 9 minutes
3-8 Equations with Linear Coefficients 9 minutes
3-9 Equations with Linear Coefficients - Ex. 5 8 minutes
3-10 Ricatti's Equation - Ex. 6 10 minutes
3-11 Clairaut's Equation 8 minutes
3-12 Clairaut's Equation - Ex. 7 7 minutes

1 assignment Total 30 minutes

Quiz 3 30 minutes

What's included

5 videos1 assignment

What's included

5 videos1 assignment

What's included

9 videos1 assignment

9 videos Total 81 minutes

6-1 Fundamental set of solutions 9 minutes
6-2 General solutions 13 minutes
6-3 Nonhomogeneous equations I 8 minutes
6-4 Nonhomogeneous equations II 5 minutes
6-5 Reduction of order I 11 minutes
6-6 Reduction of order II 8 minutes
6-7 Homogeneous linear equations with constant coefficients 15 minutes
6-8 Homogeneous linear equations – Example 5 minutes
6-9 Higher order equations 7 minutes

1 assignment Total 30 minutes

Quiz6 30 minutes

What's included

5 videos1 assignment

What's included

4 videos1 assignment

What's included

5 videos1 assignment

Instructors

Instructor ratings

(299 ratings)

Kwon, Kil Hyun

Korea Advanced Institute of Science and Technology(KAIST)

1 Course 57,947 learners

Kil Hyun Kwon

Korea Advanced Institute of Science and Technology(KAIST)

3 Courses 58,574 learners

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Korea Advanced Institute of Science and Technology(KAIST)

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Reviewed on Jan 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.

Reviewed on Feb 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.

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.

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