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初級レベル
約12時間で修了
英語
字幕:英語

受講生の就業成果

25%

コースが具体的なキャリアアップにつながった
共有できる証明書
修了時に証明書を取得
100%オンライン
自分のスケジュールですぐに学習を始めてください。
柔軟性のある期限
スケジュールに従って期限をリセットします。
初級レベル
約12時間で修了
英語
字幕:英語

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Korea Advanced Institute of Science and Technology(KAIST) ロゴ

Korea Advanced Institute of Science and Technology(KAIST)

シラバス - 本コースの学習内容

コンテンツの評価Thumbs Up92%(1,321 件の評価)Info
1

1

2時間で修了

Introduction

2時間で修了
9件のビデオ (合計76分)
9件のビデオ
1-2 Order and Normal Form6 分
1-3 Linear and Nonlinear Equations5 分
1-4 Solution5 分
1-5 Implicit Solution11 分
1-6 Types of Solutions12 分
1-7 Initial Value Problem10 分
1-8 Picard’s Theorem I10 分
1-9 Picard’s Theorem II9 分
1の練習問題
Quiz116 分
2

2

2時間で修了

First Order Differential Equation 1

2時間で修了
9件のビデオ (合計85分)
9件のビデオ
2-2 Separable Equations - Ex’s 1 & 28 分
2-3 Separable Equations - Ex’s 3 & 49 分
2-4 Integrating Factor12 分
2-5 Does IVP Have a Unique Solution?6 分
2-6 Exact Equations I8 分
2-7 Exact Equations II18 分
2-8 Exact Equations – Ex. 110 分
2-9 Exact Equations – Ex. 25 分
1の練習問題
Quiz212 分
3

3

2時間で修了

FIRST ORDER DEFERENTIAL EQUATION 2

2時間で修了
12件のビデオ (合計104分)
12件のビデオ
3-2 Integrating Factor II7 分
3.3 Integrating Factor III10 分
3-4 Substitutions, Ex 18 分
3-5 Homogeneous Equations9 分
3-6 Substitutions Ex's 2 & 39 分
3-7 Bernoulli Equation9 分
3-8 Equations with Linear Coefficients9 分
3-9 Equations with Linear Coefficients - Ex. 57 分
3-10 Ricatti's Equation - Ex. 69 分
3-11 Clairaut's Equation8 分
3-12 Clairaut's Equation - Ex. 76 分
1の練習問題
Quiz 312 分
4

4

1時間で修了

Mathematical Modeling and Applications

1時間で修了
5件のビデオ (合計54分)
5件のビデオ
4-2 Population Dynamics I9 分
4-3 Population Dynamics II7 分
4-4 Population Dynamics III13 分
4-5 Population Dynamics IV11 分
1の練習問題
Quiz410 分

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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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