At the end of this course, the students; 1) Increase the awareness of his mental potential and abilities; gain an ability to utilize a higher percentage the capacity of the mind via brain exercises. 2) Solidify the patterns of rational or mathematical (and therefore exact) thinking. 3) Have a knowledge with the Engineering Mathematics needed in diverse areas of science and technology in general, and specific areas of engineering in particular. 4) Acquire effective analytical thinking ability and study habits; and also deepen and widen his thought and vision. 5) Develop problem-solving skills. 6) Will be able to apply the Engineering Mathematics knowledge for solving science and engineering problems. 7) Acquire the ability of keeping up with the constantly changing science, technology and engineering methods.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
Yes(MAT152)
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
This course contains these concepts: Origin and Classifications of Differential Equations, Exact Differential Equations, Linear Differential Equations, Bernoulli's Equation, Applications, Higher Order Differential Equations, Equations with Constant Coefficients, Cauchy Equation, Legendre Equation, Variation of Parameters, Power Series Solutions, Applications, Laplace Transform, Inverse Laplace Transforms, Laplace Solutions, System of Differential Equations and Solutions, Partial Differential Equations and Applications.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Classification of the Differential Equations, Isoclines
2nd Week
Separation of Variables, Homogeneous Equations
3rd Week
Exact Differential Equation, Linear Equations, Bernoulli Equation
4th Week
Nonlinear Equations, Applications of Differential Equations
5th Week
Differential Equations of Higher Order
6th Week
Linear Differential Equations of Higher Order with Constant Coefficient
7th Week
Variation of parameters, Power Series Solutions
8th Week
Midterm Exam
9th Week
The Laplace transform, Inverse Laplace Transform
10th Week
Solutions of Differential Equations using Laplace transform
11th Week
Systems of Homogeneous Differential Equations
12th Week
Systems of Nonhomogeneous Differential Equations
13th Week
Numerical Solution Method
14th Week
Partial Differential Equations
RECOMENDED OR REQUIRED READING
Rainville, E.D., Bedient P.E.,Bedient R.E., Elementary Differential Equations (1997), Prentice Hall. Shepley L. Ross, Differential Equations (1984), John Wiley&Sons.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
Lecture,Questions/Answers
ASSESSMENT METHODS AND CRITERIA
Quantity
Percentage(%)
Mid-term
1
30
Quiz
2
20
Attendance
1
10
Total(%)
60
Contribution of In-term Studies to Overall Grade(%)
60
Contribution of Final Examination to Overall Grade(%)
40
Total(%)
100
ECTS WORKLOAD
Activities
Number
Hours
Workload
Midterm exam
1
2
2
Preparation for Quiz
2
5
10
Individual or group work
0
0
0
Preparation for Final exam
1
45
45
Course hours
14
4
56
Preparation for Midterm exam
1
30
30
Laboratory (including preparation)
0
0
0
Final exam
1
2
2
Homework
0
0
0
Quiz
2
1
2
Total Workload
147
Total Workload / 30
4,9
ECTS Credits of the Course
5
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
