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.

When will I have access to the lectures and assignments?

To access the course materials, assignments and to earn a Certificate, you will need to purchase the Certificate experience when you enroll in a course. You can try a Free Trial instead, or apply for Financial Aid. The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.

What will I get if I purchase the Certificate?

When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.

Is financial aid available?

Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.

Differential Equations Part I Basic Theory

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Korea Advanced Institute of Science and Technology(KAIST)

Differential Equations Part I Basic Theory

Instructors: Kwon, Kil Hyun

58,541 already enrolled

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9 modules

Gain insight into a topic and learn the fundamentals.

1,438 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.

1,438 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

Shareable certificate

Add to your LinkedIn profile

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.

Module details

What's included

9 videos1 assignment

9 videosTotal 77 minutes

1-1 What is a Differentiable Equation?5 minutes
1-2 Order and Normal Form6 minutes
1-3 Linear and Nonlinear Equations6 minutes
1-4 Solution6 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 II10 minutes

1 assignmentTotal 30 minutes

Quiz130 minutes

What's included

9 videos1 assignment

9 videosTotal 85 minutes

2-1 Separable Equations7 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 I9 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 I8 minutes
3-2 Integrating Factor II7 minutes
3.3 Integrating Factor III11 minutes
3-4 Substitutions, Ex 18 minutes
3-5 Homogeneous Equations10 minutes
3-6 Substitutions Ex's 2 & 310 minutes
3-7 Bernoulli Equation9 minutes
3-8 Equations with Linear Coefficients9 minutes
3-9 Equations with Linear Coefficients - Ex. 58 minutes
3-10 Ricatti's Equation - Ex. 610 minutes
3-11 Clairaut's Equation8 minutes
3-12 Clairaut's Equation - Ex. 77 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 solutions9 minutes
6-2 General solutions13 minutes
6-3 Nonhomogeneous equations I8 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 coefficients15 minutes
6-8 Homogeneous linear equations – Example5 minutes
6-9 Higher order equations7 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

(299 ratings)

Kwon, Kil Hyun

Korea Advanced Institute of Science and Technology(KAIST)

1 Course58,541 learners

Kil Hyun Kwon

Korea Advanced Institute of Science and Technology(KAIST)

3 Courses59,189 learners

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Korea Advanced Institute of Science and Technology(KAIST)

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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 Jul 11, 2020

I enjoyed this course. I'm always glad to see advanced Math courses when they become available.Thanks to the professor.

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.

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