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 Students gain an advanced and contemporary knowledge and practical skill after general or vocational high school qualification. To obtain an ability to support his/her knowledge and practical skill with technical sources and equipments and to use basic and principle technical terminology of metal technologies. Student gain an insight to the subject to analyze, discuss, evaluate and bring about solutions for the problems in metal technologies and related teaching subjects. He/She gains an ability to solve problems in metal technologies using general and foundational since and knowledge. X
2 Student can gather and use data to solve well defined problems on metal technology subjects. He/She can efficiently use his or her practical and knowledge skills in practical applications. Students know general definitions of engineering drawing subject; he/she can read engineering drawings in metal technologies and also can design using computer programs. Students are familiar to measuring equipments used in metal technologies he/she has knowledge and practice to use and maintenance of measuring equipments. X
3 Students know manufacturing processes in metal technologies sectors and can offer improvements when needed. He/she has knowledge of quality control processes and has practical skill to use quality control in metal manufacturing processes. X
4 To gain theoretical and practical skills in joining of metallic materials, implementing quality control in welded structures and to give training on these subjects. X
5 To obtain an adequate theoretical knowledge and practical skills on oxy-gas, electric arc welding and brazing techniques and to use these techniques in teaching and training in vocational schools. Tracing any faults of welding machines and providing for necessary maintenance and repairing. X
6 Students have an adequate knowledge to offer solution for problems arising during welding of ferrous or non-ferrous materials and also provide suitable methods for welding.
7 Students gain skills for technical communication and team work with his/her colloquies and superior on subjects related to his/her teachings such as design and practice. He/she has an ability to use Turkish language effectively in his/her personal or official communication. He/She has skill to represent his company/institution, sharing technical and intuitional information in electronic environment by oral or written communication.
8 Gaining ability to self learning and also implementing his/her learning. To gain skill to conduct research on his/her subject personally and present results as technical reports. Monitoring new improvements and updating him/herself continuously and also updating and upgrading these improvements to his/her institution. X
9 Having use of foreign languages can make communication and follow up new technologies in metal technologies
10 Having adequate computing skill to use wordprocessing, internet communication, CAD programs such as autocad, solidworks etc.
11 Having an adequate knowledge of health and safety in metal work sectors and also knowledge of social security, ethic values, quality assurance systems, management and environment.
12 Being aware of Atatürk’s principles and his revolutions.
13 Students have enough theoretical and practical knowledge of teaching on metal technology subjects.
14 Having ability to evaluate student’s progress and activities, he/she also provide for an environment to evaluate students each other. He/she can use and share the results obtained from evaluations to make improvements in teaching and training activities.
15 Having ability to self evaluate him/her self to make progress and improvements. Being open minded to ideas and improvements he/she supports him/her self and institutions. He/she has knowledge of law, regulation and policy related to his/her job and obeys all the rules accordingly. He/she has a respect and awareness of the environment and the society.
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