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 Other
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 To evaluate technical concept by using scientific methods, to definite technical problems and to analysis them, to develop solutions related with investigation and proof in Construction Technologies. X
2 To give knowledge and methods of the solutions to the qualified or unqualified groups about the technological subjects of and methods o X
3 In Construction Technologies to develop design projects and to achieve its skills and ability, reading the projects done before and to control them
4 To realize and perform experimental and field studies and to control of them in the Construction Technologies.
5 To achieve and develop of skills about the techniques of wall, frame work, insulation, steel plate and to control of them done before in Construction Technologies.
6 To find out the land for applying of the construction systems, to measurement and
7 To know the process of the applying of constructions systems and to achieve enough knowledge and ability in order to repair or mended of the construction equipments
8 To know foreign language in order to communicate other colleagues in the Construction Technologies.
9 To achieve and learn enough knowledge about work safety , occupational health, social safety and environmental parameters in the Construction Technologies.
10 To be enterprising, competitor, organizer and social in the Construction Technologies.
11 X
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