Course Information
Course Title Code Semester T + P ECTS
Engineering Mathematics CEV201 3 3 + 0 4

Prerequisites None

Language Turkish
Level Bachelor's Degree
Type Compulsory
Coordinator Assoc.Prof. AYTEN GENÇ
Instructors Assoc.Prof. AYTEN GENÇ
Goals Students will learn the solution methods of ordinary differential equations which can be observed in mathematical modeling of engineering problems.
Contents Definition of differential equations,Types and classifications, Solutions and general and particular solutions, Some specific solution methods (variation of parameters, integral factors, ..) Second order diferential equations, Solutions of constant parameter second order diferential equations,Variation of constant methods, Variable coefficient differential equations, System of differential equations
Work Placement(s) Absent

Number Learning Outcomes
1 Students can classify ordinary, partial, lineer and homogen differential equations.
2 Students can solve first order differential equations by applying separation of variables, variation of parameters and integral factors and can evaluate general and particular solutions ofdifferential equations.
3 Students can solve second order constant coefficient differential equations.
4 Students can solve second order constant coefficient differential equations by applying undetermined coefficient methods.
5 Students can solve second order differential equations by using the method of undetermined coefficients.

Mode of Delivery Face-to-Face
Planned Learning Activities & Teaching Methods Lecture, Team work, question-answer
Assessment Methods Midterm exam (11 week), Homework, Final exam



Course Content
Week Topics Study Materials
1 Classification of differential equations: ordinary, partial, linear, homogen Students will read pages 13-21 of the textbook.
2 General solutions of differential equations: boundary and initial conditions Students will read pages 13-21 of the textbook.
3 Method of separation of variables for solving diferential equations Students will read pages 13-21 of the textbook
4 Homogen differential equations and solutions Students will read pages 33-39 of the textbook
5 Methods of variation of parameters for solving first order linear differental equations. Students will read pages 23-33 of the textbook
6 Methods of u*v for solving first order linear differental equations. Students will read pages 23-33 of the textbook
7 Methods of integration factor for solving first order linear differental equations and example problems Students will read pages 40-45 of the textbook
8 Modeling examples from environmental engineering: filling of tanks, variations in pollutant concentrations with time. Students will read pages 40-45 of the textbook
9 Bernoulli differential equations and its solution methods. Students will read pages 125-128 of the textbook
10 Exact differential equations and solution methods Students will read pages 40-48 of the textbook
11 Integration factor in solving non-exact differential equations. Students will read pages 40-48 of the textbook
12 Second order constant coefficient differential equations Students will read pages 102-110 of the textbook
13 Examples of second order constant coefficient differential equations Students will read pages 102-110 of the textbook
14 Method of undetermined coefficients Students will read pages 113-120 of the textbook



Sources
Textbook Akyıldız, E., Alpay Ş., Erkip, A., "Differential Equations", METU publications, 1990.
Additional Resources Kreyzig,E. "Advanced Engineering Mathematics", John and Willey Sons, 2008.



Assessment System Quantity Percentage
In-Term Studies
Mid-terms 1 90
Assignments 5 10
In-Term Total 6 100
Contribution of In-Term Studies to Overall 40
Contribution of Final Exam to Overall 60
Total 100





Course's Contribution to PLO
No Key Learning Outcomes Level
1 2 3 4 5
1 Engineering graduates with application skills of fundamental scientific knowledge in the engineering practice. x
2 Determines, defines, formulates and solves problems in engineering; fort his aim selects and applies the appropriate analytical models and modeling techniques.
3 Analyses a system, system component or process and in order to meet the requirements, designs under realistic conditions; thus applies modern techniques of design. x
4 Selects and uses modern techniques and devices necessary for engineering applications.
5 Designs and carries out experiments, collects data, analyzes and comments on the findings.
6 Works effectively and individually on multi disciplinary teams. x
7 Accesses knowledge, and to do this, does research, uses databases and other data sources.
8 Is aware of the importance of lifelong learning; follows advances in science and technology and updates his knowledge continuously. x
9 Uses communication and information technology at least at advanced level of European Computer Driving License x
10 Communicates effectively both orally and in writing; uses a foreign language at least at B1 level of European Language Portfolio.
11 Communicates using technical drawing.
12 Has the awareness of Professional ethics and responsibility. x
13 Has awareness about Project management, workplace applications, health of workers, environment and work security; and about legal consequences of engineering applications.
14 Indicates that he is aware of the universal and social effects of engineering solutions and applications; is aware of entrepreneurship and innovativeness and is knowledgeable about the problems of the current age. x
15 Makes use of conceptual and applied knowledge in mathematics, science and in his own area in accordance for engineering solutions.



ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Activities Quantity Duration (Hour) Total Work Load (h)
Course Duration 14 3 42
Hours for off-the-classroom study (Pre-study, practice) 12 3 36
Assignments 5 5 25
Mid-terms 1 3 3
Final examination 1 3 3
Total Work Load (h) 109
Total Work Load / 30 (h) 3.63
ECTS Credit of the Course 4