常微分方程教学日历表

1、 2018 2019 学年第 1 学期教学日历表开课学院：数学学院专业：数学2017级 年级： 2017 级 课程名称：常微分方程总学时56学分数： 3.5 学时分配：讲课48 学时实验学时上机学时录像学时设计学时习题课8 学时实习课学时其他学时授课教师： 职称：副教授所在学院数学学院系所应用数学系填表日期： 2018 年 10 月 1日日期节次教 学 内 容 及 作 业 安 排备 注（必读书籍、参考书籍等）讲课课 堂 作 业课 外 作 业其 它 作 业教学内容（详细到章节）作业名称及要求作业名称及要求作业名称及要求11.511.1 Introduction of Ordinary Diffe

2、rential EquationsTextbooks：1、Ordinary Differential Equations and Their Applications 周宇虹2、An Introduction to Ordinary Differential EquationsRavi P Agarwal3、Elementary Differential Equations C.Henry Edwards机械工业出版社Reference Books：1、常微分方程王高雄等编，高等教育出版社2、 常微分方程教程丁同仁编著 高等教育出版社 第二版11.521.1 Definition of Dif

3、ferential Equations and SolutionsP11 2（4）、3（2）11.631.2 HYPERLINK /geometric%20interpretation Geometric Interpretationof Differential Equations11.642.1 Exact Differential EquationsP24 2、5、6、8、1011.852.2 Separable Equations11.862.2 Applications of Separable EquationsP30 1、(2,3,4,7),2(2,5)11.1272.3 Fir

4、st-order Linear Differential Equations11.1282.3 Basic Properties of Linear Differential EquationsP36 1、(1,3,),2，611.1392.4 Homogeneous Differential Equations 11.13102.4 Bernoulli EquationsP45 1、(1,4,),2(3,4)11.15112.4 Ricatti Equations11.1512 HYPERLINK /exercise%20class Exercise ClassP45 3、(1),4,611

5、.19132.5 Integrating Factor11.19142.5 Integrating Factor Method P51 1、(2,4,6),311.20154.1 First-order Implicit Differential Equations11.20164.1 First-order Implicit Differential EquationsP106 1、(1),2(1,2)11.22172.6 Applications of First-order Equations11.22182.6 Applications of First-order Equations

6、P62 1、(1,4),611.26193.1 Picard Theorem11.26203.1 Proof of Picard Theorem11.27213.1 HYPERLINK /approximate%20solution Approximate Solution11.27223.1 HYPERLINK /sufficiency SufficientCondition of Existence and Uniqueness P71 2，311.29233.2 Euler Curve Method11.29243.2 Ascoli Lemma12.03253.2 Peano Exist

7、ence Theorem 12.03263.3 Idea of Extension of Solution P80 312.04273.3 Proof of Extension of Solution12.04283.3 Applications with Extension of SolutionP89 2、(2,4),412.06293.4 HYPERLINK /by%20comparison ComparisonTheorem12.06303.4 HYPERLINK /by%20comparison ComparisonTheorem12.1031 HYPERLINK /exercise

8、%20class Exercise Class12.1032 HYPERLINK /exercise%20class Exercise Class12.11335.1 Example of High-order Differential Equation12.11345.1 HYPERLINK /reducible ReducibleOrder Differential EquationsP135 112.13355.2 nth-order Equations in Linear Space12.13365.2 nth-order Equations in Linear SpaceP141 2

9、12.17376.1 Basic Theory of Linear Differential Systems12.17386.1 Homogeneous Linear Differential SystemsP168 1、(1,2),312.18396.1 Nonhomogeneous Linear Differential Systems12.18406.1 ApplicationsP169 4,612.20416.2 Matrix-valued Exponential Function12.20426.2 Fundamental Matrix Solution12.24436.2 Solv

10、ing Method to Fundamental Matrix Solution12.24446.2 Matrix-valued Exponential FunctionP189 1、(1,2,3)12.25456.2 Matrix-valued Exponential Function12.25466.2 HYPERLINK /exercise%20class Exercise ClassP189 2、(1) 4,512.27476.3 Basic Theory of High-order Linear Equations12.27486.3 Basic Theory of High-or

11、der Linear EquationsP204 1,3,501.03496.3 Homogeneous Equation with Constant Coefficients01.03506.3 Homogeneous Equation with Constant CoefficientsP205 7,8,10（1-10）01.07518.3 Classification of Singular Point of Linear Systems01.07528.3 Classification of Singular Point of Linear SystemsP276 2、(1,2) 01.0853 HYPERLINK /exercis