4.6
126 ratings
37 reviews

#### 100% online

Start instantly and learn at your own schedule.

#### Approx. 15 hours to complete

Suggested: 2-3 hours/week...

#### English

Subtitles: English

#### 100% online

Start instantly and learn at your own schedule.

#### Approx. 15 hours to complete

Suggested: 2-3 hours/week...

#### English

Subtitles: English

### Syllabus - What you will learn from this course

Week
1
2 hours to complete

## Introduction

...
9 videos (Total 76 min), 1 quiz
9 videos
1-2 Order and Normal Form6m
1-3 Linear and Nonlinear Equations5m
1-4 Solution5m
1-5 Implicit Solution11m
1-6 Types of Solutions12m
1-7 Initial Value Problem10m
1-8 Picard’s Theorem I10m
1-9 Picard’s Theorem II9m
1 practice exercise
Quiz116m
Week
2
2 hours to complete

## First Order Differential Equation 1

...
9 videos (Total 85 min), 1 quiz
9 videos
2-2 Separable Equations - Ex’s 1 & 28m
2-3 Separable Equations - Ex’s 3 & 49m
2-4 Integrating Factor12m
2-5 Does IVP Have a Unique Solution?6m
2-6 Exact Equations I8m
2-7 Exact Equations II18m
2-8 Exact Equations – Ex. 110m
2-9 Exact Equations – Ex. 25m
1 practice exercise
Quiz212m
Week
3
2 hours to complete

## FIRST ORDER DEFERENTIAL EQUATION 2

...
12 videos (Total 104 min), 1 quiz
12 videos
3-2 Integrating Factor II7m
3.3 Integrating Factor III10m
3-4 Substitutions, Ex 18m
3-5 Homogeneous Equations9m
3-6 Substitutions Ex's 2 & 39m
3-7 Bernoulli Equation9m
3-8 Equations with Linear Coefficients9m
3-9 Equations with Linear Coefficients - Ex. 57m
3-10 Ricatti's Equation - Ex. 69m
3-11 Clairaut's Equation8m
3-12 Clairaut's Equation - Ex. 76m
1 practice exercise
Quiz 312m
Week
4
1 hour to complete

## Mathematical Modeling and Applications

...
5 videos (Total 54 min), 1 quiz
5 videos
4-2 Population Dynamics I9m
4-3 Population Dynamics II7m
4-4 Population Dynamics III13m
4-5 Population Dynamics IV11m
1 practice exercise
Quiz410m
4.6
37 Reviews

## 50%

got a tangible career benefit from this course

### Top Reviews

By SKJun 19th 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 .

By RAMay 20th 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.

## Instructor

### Kwon, Kil Hyun

Professor
Department of Mathematical Sciences

The Korea Advanced Institute of Science and Technology (KAIST) was established in 1971 by the Korean government as the nation’s first research-intensive graduate school for science, engineering and technology. It has now grown into one of the world’s best universities, delivering top notch education and research programs for undergraduate and graduate students. KAIST encourages interdisciplinary and convergent research across a wide spectrum of disciplines, as well as strong collaborations with industry and global institutions....