工程數學 - 微分方程 | 台大開放式課程線上共學社群

目標對象

本開放式課程線上共學社群使用的學習內容適合對於工程數學 - 微分方程有興趣的學生或一般民眾。

學習目標

我們協助蒐集各種優質的跨領域閱讀和自主學習資源，節省教育工作者和學習者的寶貴時間和提高學習成效，同時提供學習者一個可以交流討論、社群共學，教學相長的優質學習空間。歡迎加入我們，一起分享你推薦的學習資源清單、學習計畫、問題交流討論和學習筆記，認識志同道合的學習夥伴和戰友，一起學習成長！

事前準備

具備基礎電腦網路操作和高中學科能力，準備電腦及網路並預留學習時間即可線上參與。鼓勵學員積極參與並遵守社群規範。

內容描述

厭倦了自己獨自觀看影片卻無人可以分享筆記、討論問題嗎？趕快加入開放式課程線上共學社群！一個人線上自學很孤獨，一群人社群共學才幸福 #社群共學 #問題討論 #筆記共享

本學習社群採線上非同步方式進行，學習內容主要使用台大丁建均老師臺大開放式課程 NTU OCW 教材 (CC BY-NC-SA 3.0 TW)，並額外規劃筆記共享及問題討論區幫助學員交流學習，只要有電腦和網路即可線上隨時隨地參與社群共學並組成學習讀書會。

	新手出發
1	社群共學進行方式
2	問題討論和共享筆記方式
1	Chap. 1 Introduction to Differential Equations
2	Sections 2-1 and 2-6, Solution Curves and A Numerical Method
3	Sections 2-2 and 2-3 Separable Variables and Linear Equations
4	Section 2-3 Linear Equations
5	Chap. 3 Modeling with 1st Orer Differential Equations
6	Section 2-4 Exact Equations
7	Sections 2-4 and 2-5 Exact Equations and Solutions by Substitutions
8	Section 4-1 Preliminary Theory for Linear Higher Order Differential Equations
9	Section 4-2 Reduction of Order
10	Sections 4-3 and 4-4 Solving the Linear and Constant Coefficient DE
11	Section 4-5 Annilator Approach
12	Sections 4-6 and 4-7 Variation of Parameters and Cauchy-Euler Equation
13	Section 5-1 Applications of Linear DE
14	Sections 4-9 and 4-10 Systems of Linear DEs; Nonlinear DEs
15	Section 5-3 Nonlinear Models
16	Chap. 8 Systems of Linear First-Order Differential Equations
17	Sections 6-1 and 6-2 Review of Power Series and Solutions About Ordinary Points
18	Section 6-2 Solutions about Ordinary Points
19	Sections 6-3 and 6-4 Solutions About Singular Points
20	Section 7-1 Definition of the Laplace Transform
21	Sections 7-2 and 7-3 Inverse Laplace Transforms and Properties of Laplace Transforms (I)
22	Section 7-4 Properties of Laplace Transforms (II)
23	Sections 7-5 and 7-6 The Dirac Delta Function and Systems of Linear DEs
24	Section 11-1 Orthogonal Functions
25	Sections 11-2 and 11-3 Fourier Series, Fourier Cosine and Sine Series
26	Section 11-3 Fourier Cosine and Sine Series
27	Sections 14-3 and 14-4 Fourier Integral and Fourier Transforms
28	Section 14-4 Fourier Transforms
29	Sections 12-1, 12-2, 12-4 Separation of Variables for Solving Partial Differential
30	Section 12-5 Laplace’s Equation

新手出發

社群共學進行方式

問題討論和共享筆記方式

課程內容

Chap. 1 Introduction to Differential Equations

Sections 2-1 and 2-6, Solution Curves and A Numerical Method

Sections 2-2 and 2-3 Separable Variables and Linear Equations

Section 2-3 Linear Equations

Chap. 3 Modeling with 1st Orer Differential Equations

Section 2-4 Exact Equations

Sections 2-4 and 2-5 Exact Equations and Solutions by Substitutions

Section 4-1 Preliminary Theory for Linear Higher Order Differential Equations

Section 4-2 Reduction of Order

Sections 4-3 and 4-4 Solving the Linear and Constant Coefficient DE

Section 4-5 Annilator Approach

Sections 4-6 and 4-7 Variation of Parameters and Cauchy-Euler Equation

Section 5-1 Applications of Linear DE

Sections 4-9 and 4-10 Systems of Linear DEs; Nonlinear DEs

Section 5-3 Nonlinear Models

Chap. 8 Systems of Linear First-Order Differential Equations

Sections 6-1 and 6-2 Review of Power Series and Solutions About Ordinary Points

Section 6-2 Solutions about Ordinary Points

Sections 6-3 and 6-4 Solutions About Singular Points

Section 7-1 Definition of the Laplace Transform

Sections 7-2 and 7-3 Inverse Laplace Transforms and Properties of Laplace Transforms (I)

Section 7-4 Properties of Laplace Transforms (II)

Sections 7-5 and 7-6 The Dirac Delta Function and Systems of Linear DEs

Section 11-1 Orthogonal Functions

Sections 11-2 and 11-3 Fourier Series, Fourier Cosine and Sine Series

Section 11-3 Fourier Cosine and Sine Series

Sections 14-3 and 14-4 Fourier Integral and Fourier Transforms

Section 14-4 Fourier Transforms

Sections 12-1, 12-2, 12-4 Separation of Variables for Solving Partial Differential

Section 12-5 Laplace’s Equation

工程數學 - 微分方程 | 台大開放式課程線上共學社群

目標對象

學習目標

事前準備

內容描述

目錄大綱

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終身閱讀學習知識分享社群

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工程數學 - 微分方程 | 台大開放式課程線上共學社群

目標對象

學習目標

事前準備

內容描述

目錄大綱

主持人/策展人介紹

Yohowto | Operation 終身閱讀學習知識分享社群

ReadThinker 跨閱思考 跨領域閱讀思考和個人成長媒體社群

FAQ 常見問題

Yohowto | Operation
終身閱讀學習知識分享社群

ReadThinker 跨閱思考
跨領域閱讀思考和個人成長媒體社群