About this Course

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Learner Career Outcomes

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got a tangible career benefit from this course
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Beginner Level
Approx. 15 hours to complete
English

Learner Career Outcomes

25%

got a tangible career benefit from this course
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Beginner Level
Approx. 15 hours to complete
English

Offered by

Placeholder

Korea Advanced Institute of Science and Technology(KAIST)

Syllabus - What you will learn from this course

Content RatingThumbs Up94%(1,826 ratings)Info
Week
1

Week 1

2 hours to complete

Introduction

2 hours to complete
9 videos (Total 76 min)
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
Quiz130m
Week
2

Week 2

2 hours to complete

First Order Differential Equation 1

2 hours to complete
9 videos (Total 85 min)
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
Quiz230m
Week
3

Week 3

2 hours to complete

FIRST ORDER DEFERENTIAL EQUATION 2

2 hours to complete
12 videos (Total 104 min)
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 330m
Week
4

Week 4

1 hour to complete

Mathematical Modeling and Applications

1 hour to complete
5 videos (Total 54 min)
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
Quiz430m

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