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Ca. 12 Stunden zum Abschließen
Englisch
Untertitel: Englisch

Karriereergebnisse der Lernenden

25%

ziehen Sie für Ihren Beruf greifbaren Nutzen aus diesem Kurs
Zertifikat zur Vorlage
Erhalten Sie nach Abschluss ein Zertifikat
100 % online
Beginnen Sie sofort und lernen Sie in Ihrem eigenen Tempo.
Flexible Fristen
Setzen Sie Fristen gemäß Ihrem Zeitplan zurück.
Stufe „Anfänger“
Ca. 12 Stunden zum Abschließen
Englisch
Untertitel: Englisch

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Korea Advanced Institute of Science and Technology(KAIST)-Logo

Korea Advanced Institute of Science and Technology(KAIST)

Lehrplan - Was Sie in diesem Kurs lernen werden

InhaltsbewertungThumbs Up92%(1,321 Bewertungen)Info
Woche
1

Woche 1

2 Stunden zum Abschließen

Introduction

2 Stunden zum Abschließen
9 Videos (Gesamt 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 praktische Übung
Quiz116m
Woche
2

Woche 2

2 Stunden zum Abschließen

First Order Differential Equation 1

2 Stunden zum Abschließen
9 Videos (Gesamt 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 praktische Übung
Quiz212m
Woche
3

Woche 3

2 Stunden zum Abschließen

FIRST ORDER DEFERENTIAL EQUATION 2

2 Stunden zum Abschließen
12 Videos (Gesamt 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 praktische Übung
Quiz 312m
Woche
4

Woche 4

1 Stunde zum Abschließen

Mathematical Modeling and Applications

1 Stunde zum Abschließen
5 Videos (Gesamt 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 praktische Übung
Quiz410m

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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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