Energy Systems Engineering (English) | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MATH216 | ||||||||
Course Name: | Mathematics IV | ||||||||
Course Semester: | Spring | ||||||||
Course Credits: |
|
||||||||
Language of instruction: | EN | ||||||||
Course Requisites: | |||||||||
Does the Course Require Work Experience?: | No | ||||||||
Type of course: | Compulsory | ||||||||
Course Level: |
|
||||||||
Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR | ||||||||
Course Lecturer(s): |
Prof. Dr. SEZGİN SEZER Prof. Dr. VASFİ ELDEM Prof. Dr. HASAN ÖZEKES |
||||||||
Course Assistants: |
Course Objectives: | The aim of this course is to gain basic knowledge and abilities about classification of differential equations, first order differential equations: solution of separable, linear and exact differential equations, substitution methods and order reduction, higher order differential equations: linear, homogeneous equations with constant coefficients, nonhomogeneous equations, method of undetermined coefficients, method of variation of parameters, Laplace transform solution of initial value problems, linear systems of differential equations: homogeneous differential equations in R2, homogeneous differential equations in R3, matrix exponential and fundamental matrix solution, solution of systems of nonhomogeneous equations, Laplace transform methods to the students. |
Course Content: | This course will investigate classification of differential equations, first order differential equations: solution of separable, linear and exact differential equations, substitution methods and order reduction, higher order differential equations: linear, homogeneous equations with constant coefficients, nonhomogeneous equations, method of undetermined coefficients, method of variation of parameters, Laplace transform solution of initial value problems, linear systems of differential equations: homogeneous differential equations in R2, homogeneous differential equations in R3, matrix exponential and fundamental matrix solution, solution of systems of nonhomogeneous equations, Laplace transform methods |
The students who have succeeded in this course;
|
Week | Subject | Related Preparation |
1) | Some Basic Mathematical Models; Direction Fields Classification of Differential Equations | Lecture Notes |
2) | First Order Differential Equations | Lecture Notes |
3) | First Order Differential Equations | Lecture Notes |
4) | Higher Order Linear Equations | Lecture Notes |
5) | Higher Order Linear Equations | Lecture Notes |
6) | The Laplace Transform | Lecture Notes |
7) | The Laplace Transform | Lecture Notes |
8) | The Laplace Transform | Lecture Notes |
9) | ||
10) | Systems of First Order Linear Differential Equations | Lecture Notes |
11) | Systems of First Order Linear Differential Equations | Lecture Notes |
12) | Systems of First Order Linear Differential Equations | Lecture Notes |
13) | Systems of First Order Linear Differential Equations | Lecture Notes |
14) | Systems of First Order Linear Differential Equations | Lecture Notes |
Course Notes / Textbooks: | Elementary Differential Equations and Boundary Value Problems, 10th Edition with WileyPlus Card William E. Boyce, Richard C. DiPrima John Wiley & Sons Pte Ltd |
References: | Lecture notes- Ders notu |
Learning Outcomes | 1 |
2 |
3 |
4 |
---|---|---|---|---|
Program Outcomes | ||||
1) Closed Department |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Closed Department |
Lesson | |
Reading | |
Problem Solving | |
Q&A / Discussion |
Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing) |
Semester Requirements | Number of Activities | Level of Contribution |
Midterms | 2 | % 50 |
Final | 1 | % 50 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 50 | |
PERCENTAGE OF FINAL WORK | % 50 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 15 | 4 | 60 |
Study Hours Out of Class | 15 | 4 | 60 |
Midterms | 2 | 15 | 30 |
Final | 1 | 20 | 20 |
Total Workload | 170 |