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 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 equationsAcquaintance on the use of double integration in engineeringAcquaintance 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
 Textbook : Additional Resources : 1. Ross, S. L., ?Differantial Equations?, John Wiley, 1974.2. T�rker, E. S., ?Diferensiyel Denklemler? , De�i�im Yay�nlar�, 2001.3. Ayd�n, M., ?Diferensiyel Denklemler ve Uygulamalar�?, Bar�� Yay�nlar�, 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
 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 