Differential Equations Part I Basic Theory

Korea Advanced Institute of Science and Technology(KAIST)

Differential Equations Part I Basic Theory

Instructors: Kwon, Kil Hyun

Access provided by Coursera Learning Team

54,894 already enrolled

9 modules

Gain insight into a topic and learn the fundamentals.

4.7

(1,424 reviews)

Beginner level

No prior experience required

Flexible schedule

Approx. 14 hours

Learn at your own pace

95%

Most learners liked this course

9 modules

Gain insight into a topic and learn the fundamentals.

4.7

(1,424 reviews)

Beginner level

No prior experience required

Flexible schedule

Approx. 14 hours

Learn at your own pace

95%

Most learners liked this course

Skills you'll gain

Details to know

Shareable certificate

Add to your LinkedIn profile

Assessments

9 assignments

Taught in English

See how employees at top companies are mastering in-demand skills

Learn more about Coursera for Business

Earn a career certificate

Add this credential to your LinkedIn profile, resume, or CV

Share it on social media and in your performance review

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 minutesPreview module
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 minutesPreview module
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 minutesPreview module
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 minutesPreview module
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 (293 ratings)

Kwon, Kil Hyun

Korea Advanced Institute of Science and Technology(KAIST)

1 Course54,894 learners

Kil Hyun Kwon

Korea Advanced Institute of Science and Technology(KAIST)

3 Courses55,457 learners

Offered by

Korea Advanced Institute of Science and Technology(KAIST)

Why people choose Coursera for their career

Felipe M.

Learner since 2018

"To be able to take courses at my own pace and rhythm has been an amazing experience. I can learn whenever it fits my schedule and mood."

Jennifer J.

Learner since 2020

"I directly applied the concepts and skills I learned from my courses to an exciting new project at work."

Larry W.

Learner since 2021

"When I need courses on topics that my university doesn't offer, Coursera is one of the best places to go."

Chaitanya A.

"Learning isn't just about being better at your job: it's so much more than that. Coursera allows me to learn without limits."

Learner reviews

4.7

1,424 reviews

5 stars
80.89%
4 stars
14.88%
3 stars
2.45%
2 stars
0.84%
1 star
0.91%

Showing 3 of 1424

Reviewed on Jun 19, 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 .

Reviewed on Jun 10, 2020

Very helpful and practical. Best match to whom wants to know how to solve some specific kinds of DEs. I love it. Thank you professor.

Reviewed on Oct 16, 2020

Gives you in-depth knowledge of Differential equations but there is a little bit less explaination in WEEK-7 topic- ANNIHILATOR. But overall the course is very good to study.

View more reviews