Course Name Code Semester T+U Hours Credit ECTS
Differantial Equations MAT 231 3 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 MEHMET GÜNER
Course Lecturers Dr.Öğr.Üyesi MEHMET GÜNER,
Course Assistants
Course Category
Course Objective To help students gain the fundamental knowledge of mathematıcs, mechanics and dynamics during their education.
Course Content Verifying Solutions.Foming Differantial Equations of Families of Curves.Initial Conditions, First –Order Differantial Equations, First –Order Differantial Equations with Variables Separable, First-Order Homogeneous Differantial Equations., Linear Differantial Equations, Miscellaneous Exercises on First-Order Differantial Equations, Linear Differantial Equations of Second Order with Constant Coefcients., First–Order Linear Differantial Equation, Euler´s Equation, Systems of Differantial Equation, Bernoulli’s Equation, Fourier’s Method, Integration of Differential Equations.
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Perceives the diferential methods and processes. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
2 Progress in problem solving. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
3 Applies diferantial calculations to engineering problems. Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
4 Gains competencies in taking derivatives. Drilland Practice, Problem Solving, Testing, Homework,
5 Optains the techniques for the use of the diferantials in error calculations. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
6 Applies the rule of diferentiation to special physical problems. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Verifying Solutions. Forming Differantial Equations of Families of Curves, Initial Conditions
2 First –Order Differantial Equations
3 First –Order Differantial Equations with Variables Separable.
4 First-Order Homogeneous Differantial Equations.
5 Linear Differantial Equations
6 Miscellaneous Exercises on First-Order Differantial Equations.
7 Linear Differantial Equations of Second Order with Constant Coefficients.
8 First–Order Linear Differantial Equation
9 MIDTERM EXAM
10 Euler´s Equation.
11 Systems of Differantial Equation.
12 Bernoulli’s Equation.
13 Fourier’s Method.
14 Integration of Differential Equations.
Resources
Course Notes YÜKSEK MATEMATİK Cilt 1,Prof.Dr.Ahmet A.KARADENİZ.-1996.
Course Resources 1. MATEMATİK ANALİZ ALIŞTIRMA VE PROBLEMLER DERLEMESİ. B. DEMIDOVITCH, 1992.
Week Documents Description size
0 DİFERANSİYEL DENKLEMLER-2 0.47 MB
0 DİFERANSİYEL DENKLEMLER-1 0.56 MB
0 dif denk-1 0.14 MB
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Having enough background in engineering topics related to mathematics, science and their fields. Skill of using theoretical and applied knowledge with engineering solutions in the field, X
2 Identifing, determining, formulating and solving engineering problems. With this purpose choosing and applying analytical methods and modelling techniques, X
3 To analyze a system, a part of a system or a process itself and the skill of design under the given constrains in order to fulfill the specifications. In that direction, the skill of applying modern design techniques X
4 Skill of choosing and applying the modern techniques and vehicles needed by the engineering applications. Skill of using the information technology effectively. X
5 Skill of designing and performing an experiment, data acquisition, analyzing and interpreting results, X
6 Ability of accessing information and doing research. Skill of using databases and other information sources. X
7 Effective working ability both as an individual and as a part of a multi-disciplinary team, self-esteem on taking responsibility,
8 Ability to make oral or written communication in Turkish. At least one foreign language knowledge, X
9 Consciousness of the necessity of the life time learning, following the developments in science and technology and ability of ones’ continous self renewal. X
10 Consciousness of occupational and ethical responsability, X
11 Consciousness on the subjects of project management, field applications, employees health, environment and work safety; awareness on legal consequences of engineering applications, X
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 70
1. Kısa Sınav 10
2. Kısa Sınav 10
1. Ödev 10
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
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 3 48
Mid-terms 1 5 5
Quiz 2 4 8
Assignment 1 5 5
Final examination 1 7 7
Total Workload 137
Total Workload / 25 (Hours) 5.48
dersAKTSKredisi 5