Course Name Code Semester T+U Hours Credit ECTS
Differential Equations IME 302 6 4 + 0 4 5
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Dr.Öğr.Üyesi AYŞE ZEYNEP AZAK
Course Lecturers Dr.Öğr.Üyesi AYŞE ZEYNEP AZAK,
Course Assistants Res.Assist.Mithat TAKUNYACI
Course Category Available Basic Education in the Field
Course Objective Inform areas of mathematics usage with given basic concepts and known solution methods on differential equations by the help of this course which has wide application areas in many science.
Course Content Concept of differential equation, classification of differential equations, initial value problems, general solutions, separable equations to values, homogeneous equations, trasformed equations to homogeneous, total differential equations, integration factor and trasformed to total differential equations, linear differential equations in single order, Bernoulli and Riccati differential equations. High degree equations in single order, equations in second order without one of the values, applications of differential equations in second order. High degree differential equations and linear differential equations and solutions.
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Express concept of differential equation and categorize differential equations Lecture, Drilland Practice, Testing, Homework,
2 Solve differential equations in single order Lecture, Drilland Practice, Testing, Homework,
3 Solve and apply applications of high degree equations in single order and differential equations in second order Lecture, Drilland Practice, Homework, Testing,
4 Explain and solve Bernoulli and Riccati differential equations Drilland Practice, Lecture, Testing, Homework,
5 Explain and solve high degree differential equations Lecture, Drilland Practice, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Concept of differential equation, classification of differential equations
2 Initial value problems, general solutions
3 Separable equations to values and homogeneous equations
4 Trasformed equations to homogeneous and total differential equations
5 Integration factor and trasformed to total differential equations
6 Linear differential equations in single order
7 Bernoulli and Riccati differential equations
8 High degree equations in single order, equations in second order without one of the values
9 Mid- Term Exam
10 Applications of differential equations in second order
11 Applications of differential equations in second order
12 High degree differential equations
13 High degree differential equations
14 Linear differential equations and solutions.
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Have general information about basic concept, theory and applicaitons on mathematics X
2 Have ability of mathematical thinking and apply to real life X
3 Classify a problem systematically also create comprehensible, understandable and objective solutions X
4 Establish relationship among events looked different X
5 Get clear and exact ideas about relationships among time, place and numbers X
6 Use principles of scientific method on problem solving X
7 Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed X
8 Think creative and critical X
9 Improve methods as fast, understandable and practical to faced problems X
10 Have information about national and international modern problems
11 Get life long learning behaviour
12 Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System
13 Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers.
14 Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment.
15 Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) X
Evaluation System
Semester Studies Contribution Rate
1. Ödev 10
1. Ara Sınav 60
1. Kısa Sınav 15
2. Kısa Sınav 15
Total 100
1. Yıl İçinin Başarıya 40
1. Final 60
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 4 64
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 1 10 10
Quiz 2 2 4
Assignment 1 10 10
Final examination 1 15 15
Total Workload 135
Total Workload / 25 (Hours) 5.4
dersAKTSKredisi 5