Course Information
Course Title Code Semester T + P ECTS
Engineering Mathematics I INS219 3 3 + 1 4

Prerequisites none

Language Turkish
Level Bachelor's Degree
Type Compulsory
Coordinator Assist.Prof. SADRİ ŞENSOY
Instructors Assist.Prof. SADRİ ŞENSOY
Goals Modelling and solving of physical phenomenas and engineering problems by mathematical tools
Contents Differential equations, Firts order differential equations and their applications. Higher order differential equations and their applications. Constant coefficient linear differential equations. Second order homogeneous differential equations and their applications. Method of undetermined coefficients. Change of parameters.
Work Placement(s) Absent

Number Learning Outcomes
1 Modelling and solving of engineering problems using differential equations
2 Solving differential equations
3 Applications of differential equations on engineerig problems
4 Solutions of higher order differential equations
5 The Lagrange method

Mode of Delivery Face-to-Face
Planned Learning Activities & Teaching Methods in class teaching and homeworks
Assessment Methods midterm and final



Course Content
Week Topics Study Materials
1 Differential equations rules of derivative
2 First order differential equations and their applications. rules of derivative
3 First order differential quations and their applications rules of derivative
4 First order differential equations and their applications. rules of integration
5 Higher order differential equations. rules of integration
6 linear differential equations with constant coefficients solutions of differential equations
7 Second order homogeneous linear differential equations solutions of differential equations
8 method of undetermined coefficients rules of integration
9 method of undetermined coefficients rules of integration
10 change of parameters rules of integration
11 change of parameters rules of integration
12 applications of second order differential equations electrical circuits
13 applications of second order differential equations the concept of endurance
14 applications of second order differential equations rules of dynamics



Sources
Textbook Rıchard Bronson ,Differential equations, Schaum's series
Additional Resources Phillip E,Bedient, Elementary Diferansiel Eguations



Assessment System Quantity Percentage
In-Term Studies
Mid-terms 1 80
Quizzes 1 10
Assignments 5 10
In-Term Total 7 100
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 Has the sufficient background on mathematics, science and engineering in his own branch. x
2 Makes use of conceptual and applied knowledge in mathematics, science and in his own area in accordance for engineering solutions. x
3 Determines, defines, formulates and solves problems in engineering; fort his aim selects and applies the appropriate analytical models and modeling techniques. x
4 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
5 Selects and uses modern techniques and devices necessary for engineering applications. x
6 Designs and carries out experiments, collects data, analyzes and comments on the findings. x
7 Works effectively and individually on multi disciplinary teams. x
8 Accesses knowledge, and to do this, does research, uses databases and other data sources. x
9 Is aware of the importance of lifelong learning; follows advances in science and technology and updates his knowledge continuously. x
10 Uses communication and information technology at least at advanced level of European Computer Driving License. x
11 Communicates effectively both orally and in writing; uses a foreign language at least at B1 level of European Language Portfolio. x



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) 14 3 42
Assignments 5 2 10
Mid-terms 1 10 10
Final examination 1 10 10
Total Work Load (h) 114
Total Work Load / 30 (h) 3.8
ECTS Credit of the Course 4