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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57,970 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 57,970 learners

Kil Hyun Kwon

Korea Advanced Institute of Science and Technology(KAIST)

3 Courses 58,598 learners

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Korea Advanced Institute of Science and Technology(KAIST)

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Reviewed on Feb 12, 2020

It's a great course I recommend to everyone. And we are looking forward to a partial differential equation (PDE) course sooner.Thank you!

Reviewed on Aug 14, 2020

Great introductory course! A follow-up course would be fantastic to elucidate more of the concepts covered in this first course.

Reviewed on Apr 25, 2020

Really very interesting. Weekend so no other work than doing courses. Thank you so much for offering the chance to do some courses in coursera. Thank you

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