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DIFFERENTIAL EQUATIONS I
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| Course Name |
Code |
Regular Semester |
ECTS Credits |
Credits |
Lecture |
4
|
| Application |
-
|
|
Differential Equations I
|
0252081
|
3
|
6
|
4
|
Laboratory (Hour/Week) |
-
|
|
| Course Language |
Turkish
|
| Compulsory or Elective |
Compulsory
|
| Equipment |
Board, Overhead Projector, Projector;, Notebook, CD
|
| Instructor |
Department of Mathematics
|
| Course Contents |
Studying First Order Differential Equations/ Existence and Uniqueness Theorems/ Solutions and Applications of First Order Differential Equations/ Fundamental Theorems for Higher Order Linear Differential Equations with Variables and Constant Coefficients/ Undefined Coefficients and Operator Methods for Constant Coefficient Linear Equations/ Variation of Parameters Method/ Reduction of Order Method; Change of Variable Method/ Euler-Cauchy Differential Equations/ Higher Order Exact Equations/ Systems of Linear Differential Equation
|
| Course Objectives |
To improve mathematical thinking to able to solve the problems which is met in mathematics, physics and engineering
|
Course Outcomes
(The knowledge and the skills that the student will gain at the end of the course) |
To learn the all solution methods of differential equations which consist of functions with one variable.
|
| Textbook |
Lecture Notes
|
| Additional References |
-
“Elementary Differential Equations and Boundary Value Problems”, William E. Boyce – Richard C. Diprima, John-Wiley , 1992
-
“Differential Equations” volume 1 Prof. Yavuz Aksoy YTU, 1990
|
|
| Prerequisite Courses |
-
|
| Prerequisite Subjects |
Subjects of 0251012 Mathematics Analysis 2
|
| Homework/Project |
-
|
| Laboratory |
-
|
| Computer Applications |
-
|
| Additional Practices |
-
|
|
| Course Evaluation Criteria |
|
Number |
Effective Proportion % |
| Midterm Exams |
2
|
60
|
| Quiz |
-
|
-
|
| Homework |
-
|
-
|
| Term Projects |
-
|
-
|
| Term Papers |
-
|
-
|
| Laboratory |
-
|
-
|
| Other |
-
|
-
|
| Final Exam |
1
|
40
|
|
| Division of Course Credit (%) |
Basic Sciences |
-
% |
| Basic Engineering and Departmental Core Courses |
-
% |
| Departmental Core Courses |
100
% |
| Social Sciences |
-
% |
|
|
| WEEKLY COURSE PLAN |
| Week |
Subject |
| 1 |
Studying First Order Differential Equations; Existence and Uniqueness Theorems
|
| 2 |
Solutions and Applications of First Order Differential Equations
|
| 3 |
Solutions and Applications of First Order Differential Equations
|
| 4 |
Solutions and Applications of First Order Differential Equations
|
| 5 |
Higher Order Linear Differential Equations and Fundamental Theorems
|
| 6 |
Reduction of Order Method
|
| 7 |
Undefined Coefficients Methods for Constant Coefficient Equations
|
| 8 |
1st Midterm exam
|
| 9 |
Change of Parameters Method
|
| 10 |
Operator Method
|
| 11 |
Higher Order Exact Differential Equations
|
| 12 |
Change of Variable Method; Euler, Legendre Differential Equations
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| 13 |
2nd Midterm exam
|
| 14 |
Systems of Linear Differential Equation
|
| 15 |
Systems of Linear Differential Equation
|
|
|
| Prepared by |
Department of Mathematics
|
Date |
01.01.2007
|
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