一、 THE COURSE, DIFFERENTIAL EQUATIONS, IS A FUNDAMENTAL MATHEMATICS FOR THE STUDENTS IN THE EE DEPARTMENT. BASED ON THE CONCEPTS OF LOGICS AND SETS, THE DERIVATIONS OF BOTH THE DIFFERENTIAL EQUATION ITSELF AND THE ASSOCIATED SOLUTION SET (ESPECIALLY THE SINGULAR SOLUTION) ARE DISCUSSED. NOT ONLY THE SOLUTION METHODS BUT ALSO THE MATHEMATIC CONCEPTS ARE EMPHASIZED. THE STUDENTS ARE SUGGESTED TO FOLLOW THE SCHEDULE IN TIME, OTHERWISE WILL BE LOST IN THE COURSE. THE COURSE WILL BE TAUGHT ACCORDING TO THE LECTURER’S NOTEBOOK. THE STUDENTS HAD BETTER REVIEW IT AFTER EACH COURSE IN ORDER CATCH UP WITH THE SCHEDULE. THE EE ASSIGNED TEXTBOOK IS A REFERENCE. BOTH OF THE CONTENTS ARE CONSISTENT AND LISTED AS FOLLOWS.
1、 FIRST ORDER DIFFERENTIAL EQUATIONS
2、 DIFFERENTIAL EQUATIONS OF HIGHER ORDER
3、 LAPLACE TRANSFORM
4、 SERIES SOLUTIONS OF LINEAR EQUATIONS
5、 SYSTEMS OF DIFFERENTIAL EQUATIONS
6、 FOURIER SERIES AND BOUNDARY-VALUE PROBLEMS
7、 NUMERICAL ANALYSIS