教學大綱 Syllabus

科目名稱:微分方程式

Course Name: Differential Equations

修別:選

Type of Credit: Elective

3.0

學分數

Credit(s)

20

預收人數

Number of Students

課程資料Course Details

課程簡介Course Description

介紹微分方程的基本理論本學期課程包含起始值問題解的存在唯一性定理線性系統的基本性質

核心能力分析圖 Core Competence Analysis Chart

能力項目說明


    課程目標與學習成效Course Objectives & Learning Outcomes

    孰悉微分方程的基本理論並能加以運用

    每周課程進度與作業要求 Course Schedule & Requirements

    教學週次Course Week 彈性補充教學週次Flexible Supplemental Instruction Week 彈性補充教學類別Flexible Supplemental Instruction Type
    週次 Week 課程主題 Course Theme 課程內容與指定閱讀 Content and Reading Assignment 教學活動與作業 Activity and Homework 學習投入時數 Estimated time devoted to coursework per week
    課堂講授 Lecture Hours 課程前後 Preparation Time

    1

    Preliminaries to Existence and Uniqueness of Solutions
    lecture 7
    老師講授

    3.0

    6

    2

    Picard’s Method of Successive Approximations
    lecture 8
    老師講授&習題檢討

    3.0

    6

    3

    Existence Theorems
    lecture 9
    老師講授&習題檢討

    3.0

    6

    4

    Uniqueness Theorems
    lecture 10
    老師講授&習題檢討
    3.0 6

    5

    Differential Inequalities
    lecture 11
    老師講授&習題檢討
    3.0 6

    6

    Continuous Dependence on Initial Conditions
    lecture 12
    老師講授&習題檢討
    3.0 6

    7

    Preliminary Results from Algebra and Analysis
    lecture 13
    老師講授&習題檢討
    3.0 6

    8

    Preliminary Results from Algebra and Analysis
    lecture 14
    老師講授&習題檢討
    3.0 6

    9

    期中考
    
     
    考試
     

     

    10

    Existence and Uniqueness of Solutions of Systems

    lecture 15 老師講授

    3.0

    6

    11

    檢討期中考卷
    檢討期中考卷
    老師講授&檢討期中考卷
    3.0 6

    12

    Existence and Uniqueness of Solutions of Systems
    lecture 16
    老師講授&習題檢討
    3.0 6

    13

    General Properties of Linear Systems
    lecture 17
    老師講授&習題檢討
    3.0 6

    14

    General Properties of Linear Systems
    lecture 17
    老師講授&習題檢討
    3.0 6

    15

    Fundamental Matrix Solution
    lecture 18
    老師講授&習題檢討
    3.0 6

    16

    Systems with Constant Coefficients
    lecture 19
    老師講授&習題檢討

    2.0

    6

    17

    期末考
    
     
    考試
    3.0

     

    18

    期末考檢討
    
     
    老師講授  

     

     

    授課方式Teaching Approach

    70%

    講述 Lecture

    30%

    討論 Discussion

    0%

    小組活動 Group activity

    0%

    數位學習 E-learning

    0%

    其他: Others:

    評量工具與策略、評分標準成效Evaluation Criteria

    作業50%

    期中考25%

    期末考25%

    指定/參考書目Textbook & References

    An Introduction Ordinary Differential Equations, R.P.Agarwal & R.C.Gupta

    已申請之圖書館指定參考書目 圖書館指定參考書查詢 |相關處理要點

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    課程相關連結Course Related Links

    
                

    課程附件Course Attachments

    課程進行中,使用智慧型手機、平板等隨身設備 To Use Smart Devices During the Class

    需經教師同意始得使用 Approval

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