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Niveau débutant
Approx. 12 heures pour terminer
Anglais
Sous-titres : Anglais

Résultats de carrière des étudiants

25%

ont bénéficié d'un avantage concret dans leur carrières grâce à ce cours
Certificat partageable
Obtenez un Certificat lorsque vous terminez
100 % en ligne
Commencez dès maintenant et apprenez aux horaires qui vous conviennent.
Dates limites flexibles
Réinitialisez les dates limites selon votre disponibilité.
Niveau débutant
Approx. 12 heures pour terminer
Anglais
Sous-titres : Anglais

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Logo Institut supérieur coréen des sciences et technologies (KAIST)

Institut supérieur coréen des sciences et technologies (KAIST)

Programme du cours : ce que vous apprendrez dans ce cours

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Semaine
1

Semaine 1

2 heures pour terminer

Introduction

2 heures pour terminer
9 vidéos (Total 76 min)
9 vidéos
1-2 Order and Normal Form6 min
1-3 Linear and Nonlinear Equations5 min
1-4 Solution5 min
1-5 Implicit Solution11 min
1-6 Types of Solutions12 min
1-7 Initial Value Problem10 min
1-8 Picard’s Theorem I10 min
1-9 Picard’s Theorem II9 min
1 exercice pour s'entraîner
Quiz116 min
Semaine
2

Semaine 2

2 heures pour terminer

First Order Differential Equation 1

2 heures pour terminer
9 vidéos (Total 85 min)
9 vidéos
2-2 Separable Equations - Ex’s 1 & 28 min
2-3 Separable Equations - Ex’s 3 & 49 min
2-4 Integrating Factor12 min
2-5 Does IVP Have a Unique Solution?6 min
2-6 Exact Equations I8 min
2-7 Exact Equations II18 min
2-8 Exact Equations – Ex. 110 min
2-9 Exact Equations – Ex. 25 min
1 exercice pour s'entraîner
Quiz212 min
Semaine
3

Semaine 3

2 heures pour terminer

FIRST ORDER DEFERENTIAL EQUATION 2

2 heures pour terminer
12 vidéos (Total 104 min)
12 vidéos
3-2 Integrating Factor II7 min
3.3 Integrating Factor III10 min
3-4 Substitutions, Ex 18 min
3-5 Homogeneous Equations9 min
3-6 Substitutions Ex's 2 & 39 min
3-7 Bernoulli Equation9 min
3-8 Equations with Linear Coefficients9 min
3-9 Equations with Linear Coefficients - Ex. 57 min
3-10 Ricatti's Equation - Ex. 69 min
3-11 Clairaut's Equation8 min
3-12 Clairaut's Equation - Ex. 76 min
1 exercice pour s'entraîner
Quiz 312 min
Semaine
4

Semaine 4

1 heure pour terminer

Mathematical Modeling and Applications

1 heure pour terminer
5 vidéos (Total 54 min)
5 vidéos
4-2 Population Dynamics I9 min
4-3 Population Dynamics II7 min
4-4 Population Dynamics III13 min
4-5 Population Dynamics IV11 min
1 exercice pour s'entraîner
Quiz410 min

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  • Yes, Coursera provides financial aid to learners who cannot afford the fee. Apply for it by clicking on the Financial Aid link beneath the "Enroll" button on the left. You’ll be prompted to complete an application and will be notified if you are approved. Learn more.

  • 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.

  • 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.

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