Course Name Code Semester T+U Hours Credit ECTS
Mathematics III MAT 215 3 3 + 0 3 3
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Doç.Dr. YALÇIN YILMAZ
Course Lecturers
Course Assistants Research Assistants in mathematics department
Course Category
Course Objective To introduce differential equations and to solve the problems arising in engineering and science
Course Content Classification of Differential Equations and Their Solutions, First Order Equations, High Order Equations, The Homogeneous Linear Equations with Constant Coefficients
# Course Learning Outcomes Teaching Methods Assessment Methods
1 He/She Recognizes differential equation Lecture, Problem Solving, Question-Answer, Discussion, Drilland Practice, Testing, Homework,
2 He/She Classifies differential equations Drilland Practice, Discussion, Question-Answer, Problem Solving, Lecture, Homework, Testing,
3 He/She Finds equation which solution is known Lecture, Problem Solving, Question-Answer, Discussion, Drilland Practice, Testing, Homework,
4 He/She Recognizes and solves first order equation Drilland Practice, Discussion, Question-Answer, Problem Solving, Lecture, Homework, Testing,
5 He/She Finds a curve which cuts another curve Lecture, Problem Solving, Question-Answer, Discussion, Drilland Practice, Testing, Homework,
6 He/She Recognizes high order equation Drilland Practice, Discussion, Question-Answer, Problem Solving, Lecture, Homework, Testing,
7 He/She Finds a solution linear homogenous equation with constant coefficient Lecture, Problem Solving, Question-Answer, Discussion, Drilland Practice, Testing, Homework,
8 He/She Finds a solution linear nonhomogenous equation with constant coefficient Drilland Practice, Discussion, Question-Answer, Problem Solving, Lecture, Homework, Testing,
Week Course Topics Preliminary Preparation
1 Definition and Classification of Differential quations
2 Seperable Equations and Equations Reducible to This Form
3 Homogeneous Differential Equations
4 Exact Differential Equations and Integrating Factors
5 Linear Equations
6 Bernoulli Equations
7 Riccati Equations
8 First Order Higher Degree Differential Equations.Clairaut Equations
9 First Order Higher Degree Differential Equations.Clairaut Equations
10 Lagrange Equations, Orthogonal and Oblique Trajectories
11 The Homogeneity of a Linear Equation with Constant Coefficients
12 The Homogeneity of a Linear Equation with Constant Coefficients
13 The Method of Undetermined Coefficients
14 Variation of Parameters
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Having necessary knowledge and skills for performing his/her proficiency in the subject of motor Technologies and basic manufacturing processes X
2 Having the latest knowledge and skills for theoretical and practical applications of motor systems and principals
3 Having the latest knowledge and skills for theoretical and practical applications of vehicle systems
4 Having the latest knowledge and skills for performing tests, control and maintenance of motor/vehicle systems and hardware
5 Having the latest knowledge and skills for diagnostics and renovation processes of vehicle/motor systems
6 Having the latest knowledge in Science and Engineering X
7 Having the latest knowledge and skills in the area of electric-electronic-computer for performing tasks related to his/her proficiency
8 Having foreign language skills and knowledge for making tasks related to his/her proficiency
9 Having the latest knowledge and skills for making design and research projects in his/her area X
10 Having the latest knowledge and skills in the area of servicing/management/job security related to his/her proficiency
11 Having the latest knowledge and skills for performing tasks in teaching and education in his/her area
12 Having necessary knowledge for performing tasks in the automobile industry
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 70
1. Kısa Sınav 10
1. Ödev 10
2. Kısa Sınav 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 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 1 16
Mid-terms 1 3 3
Quiz 2 2 4
Assignment 1 2 2
Final examination 1 5 5
Total Workload 78
Total Workload / 25 (Hours) 3.12
dersAKTSKredisi 3