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Course Information
Course Unit Title : Engineering Calculus
Course Unit Code : MAT119
Type of Course Unit : Compulsory
Level of Course Unit : First Cycle
Year of Study : 2
Semester : 3.Semester
Number of ECTS Credits Allocated : 4,00
Name of Lecturer(s) :
Course Assistants :
Learning Outcomes of The Course Unit : Acquaintance on the applications of differential equations in engineering and methods to provide solutions to the differential equations
Acquaintance on the use of double integration in engineering
Acquaintance on the use of triple integration in engineering
Mode of Delivery : Face-To-Face
Prerequisities and Co-requisities Courses : Unavailable
Recommended Optional Programme Components : Unavailable
Course Contents : First order differential equations: Separable equations, exact differential equations, integrating factors, homogeneous, linear, Bernoulli and Riccati equations, Langrange and Clairaut equations, applications.
Higher order differential equations: Linear differential equations with constant coefficients, linear differential equations with variable coefficients, Cauchy-Euler equation, systems of linear differential equations and applications.
Systems of linear differential equations: Homogeneous linear systems, non-homogeneous linear systems, and solutions of linear differential equations with constant coefficients.
Series solutions of linear differential equations: Power series solutions about an ordinary point and solutions about singular points, the method of Frobenius.
Languages of Instruction : Turkish
Course Goals : Formulate some engineering problems with mathematical expressions, solving the expression by using boundary and initial conditions.
Course Aims : Formulate some engineering problems with mathematical expressions, solving the expression by using boundary and initial conditions.
WorkPlacement   Not Available
Recommended or Required Reading
Textbook :
Additional Resources : 1. Ross, S. L., ?Differantial Equations?, John Wiley, 1974.
2. Türker, E. S., ?Diferensiyel Denklemler? , Değişim Yayınları, 2001.
3. Aydın, M., ?Diferensiyel Denklemler ve Uygulamaları?, Barış Yayınları, 1999.
Material Sharing
Documents :
Assignments :
Exams :
Additional Material :
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
ECTS / Table Of Workload (Number of ECTS credits allocated)
Student workload surveys utilized to determine ECTS credits.
Activity :
Number Duration Total  
Course Duration (Excluding Exam Week) :
14 3 42  
Time Of Studying Out Of Class :
14 3 42  
Homeworks :
0 0 0  
Presentation :
0 0 0  
Project :
0 0 0  
Lab Study :
0 0 0  
Field Study :
0 0 0  
Visas :
1 10 10  
Finals :
1 15 15  
Workload Hour (30) :
30  
Total Work Charge / Hour :
109  
Course's ECTS Credit :
4      
Assessment Methods and Criteria
Studies During Halfterm :
Number Co-Effient
Visa :
1 100
Quiz :
0 0
Homework :
0 0
Attendance :
0 0
Application :
0 0
Lab :
0 0
Project :
0 0
Workshop :
0 0
Seminary :
0 0
Field study :
0 0
   
TOTAL :
100
The ratio of the term to success :
40
The ratio of final to success :
60
TOTAL :
100
Weekly Detailed Course Content
Week Topics  
1 First order differential equations
 
2 First order differential equations
 
3 First order differential equations
 
4 Higher order differential equations
 
5 Higher order differential equations
 
6 Higher order differential equations
 
7 Higher order differential equations
 
8 Higher order differential equations
 
9 Systems of linear differential equations
 
10 Systems of linear differential equations
 
11 Systems of linear differential equations
 
12 Series solutions of linear differential equations
 
13 Series solutions of linear differential equations
 
14 Series solutions of linear differential equations