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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MTH 2011 CALCULUS III COMPULSORY 4 0 0 4

Offered By

Faculty of Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

DOCTOR ALI SEVIMLICAN

Offered to

Textile Engineering

Course Objective

To define ,to solve, classifications and applications of differential equations

Learning Outcomes of the Course Unit

1   To define and classifications of differential equations 2   To solve first order differential equations 3   Applications of first order differential equations 4   To solve higher order differential equations 5   Applications of higher order differential equations

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Introduction to differential equations, Definition and classifications of differential equations 2 First order differential equations, separations of variable differential equations 3 Linear differential equations, homogen differential equations 4 Exact differential equations, Integral multipliers, non-linear differential equations Envelopes 5 Higher degree first order differential equations, Envelopes , etc. 6 Application of first order differential equations for geometric and physical problems 7 Higher order differential equations and their solutions Linear independency, wronskian,etc.. 8 1st Midterm 9 Higher order non-homogen differential equations and their solutions: Undetermined Coefficients method, Lagrange method 10 Operator Method, Cauchy-Euler differential equation Legendre differential equation 11 Power series , Solutions of differential equations with power series, Fourier series 12 Laplace transformation method for solving differential equations 13 2nd.midterm 14 Application of differential equations, Solutions of the system of differential equations with operator method and Laplace transformation methods

Recomended or Required Reading

Textbook(s): Prepareted course notes Supplementary Book(s): Akyıldız, E.T., Alpay, Ş., Erkip, A. (1990) .Differential Equations, Şafak Matbaacılık, Ankara. Kreyszig, E. (1993) .Advanced Engineering Mathematics, John Wiley&Sons. Inc, New York. Ayres, F. (1978). Differential Equations, Schaums Outline Series, Mc-Graw-Hill Book Company, New York. References: Materials:

Planned Learning Activities and Teaching Methods

Books, presentations and homeworks, midterm exams, final exam, make up exam.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 FIN FINAL EXAM 3 FCG FINAL COURSE GRADE MTE * 0.50 + FIN * 0.50 4 RST RESIT 5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.50 + RST * 0.50

Further Notes About Assessment Methods

None

Assessment Criteria

ÖÇ 1-5: Evaluated by midterm and final questions.

Language of Instruction

English

Course Policies and Rules

Attendance will be considered in the evaluation

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Tutorials 0 0 0 Lectures 14 4 56 Preparation for midterm exam 2 4 8 Preparation for final exam 1 6 6 Preparing presentations 14 1 14 Preparations before/after weekly lectures 14 1 14 Midterm 2 2 4 Quiz etc. 0 0 0 Final 1 2 2 TOTAL WORKLOAD (hours) 104

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 LO.1 5 LO.2 5 4 3 5 LO.3 5 4 3 5 LO.4 5 4 3 5 LO.5 5 4 3 5