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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS FIZ 1112 DIFFERENTIAL EQUATIONS COMPULSORY 2 0 0 3

Offered By

Physics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

DOCTOR ASLIHAN KARTAL TAŞOĞLU

Offered to

Physics Teacher Education

Course Objective

The aim of the course is to introduce different types of differential equations and teach their solutions.

Learning Outcomes of the Course Unit

1   Explains the properties of differential equations, initial and boundary value problems. 2   Recognize the types of first order differential equations and apply them to problems. 3   Recognize the types of first-order and higher-order differential equations and apply them to problems. 4   Recognize the types of higher order linear differential equations and apply them to problems. 5   Solves problems using knowledge of differential equations in mathematics and various disciplines.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Definition of differential equations as mathematical model, order, degree, general solution, special solution 2 Obtaining differential equations and related applications 3 First order differential equations, Separable Equations 4 Homogeneous and exact differential equations, Integrating Factors 5 Linear differential equations, differential equations which can be reduced to linear differential equations 6 Applications of first order differential equations 7 Applications of first order differential equations 8 General Review, Course Evaluation, Midterm Exam 9 Higher order differential equations, variable coefficient differential equations 10 Higher order constant coefficient homogeneous differential equations 11 Non-homogeneous constant-coefficient differential equations Undetermined coefficients and variation of parameters 12 Laplace and Inverse Laplace transforms 13 Application of laplace transformations to differential equations 14 Higher Order Linear Differential Equations with Variable Coefficients 15 Final Exam

Recomended or Required Reading

Karadeniz, A.A.(2007) Yüksek Matematik, Cilt:3, Çağlayan Kitapevi Çağlıyan, M. et. al. (2008). Adi Diferansiyel Denklemler. Bursa: Dora Yayın Hsieh-Sibuya (2001) Basic Theory of Ordinary Differential Equations, Springer

Planned Learning Activities and Teaching Methods

Lecture, question-answer, discussion, problem solving, brain storming

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 VZ Midterm 2 FN Semester final exam 3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60 4 BUT Make-up note 5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

70% of the course obligatory to attend.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

It will be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 2 26 Preparations before/after weekly lectures 13 1 13 Preparation for midterm exam 1 7 7 Preparation for final exam 2 7 14 Final 1 2 2 Midterm 1 2 2 TOTAL WORKLOAD (hours) 64

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 PO.12 PO.13 PO.14 PO.15 PO.16 PO.17 PO.18 PO.19 PO.20 LO.1 5 LO.2 5 LO.3 5 LO.4 5 LO.5 5