COURSE UNIT TITLE

: DIFFERENTIAL EQUATION APPLICATIONS IN LOGISTICS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
LOG 5019 DIFFERENTIAL EQUATION APPLICATIONS IN LOGISTICS ELECTIVE 3 0 0 7

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

Offered to

Logistics Engineering (Non-Thesis-Evening)
Logistics Engineering

Course Objective

The aim of this course is to give basic knowledge of differential equations which is useful in various fields of applications in science and engineering.

Learning Outcomes of the Course Unit

1   Wil be able to understand the basic theory of ordinary differential equations.
2   Wil be able to use the techiques and use for solving linear and nonlinear first-order ordinary differential equations.
3   Wil be able to use the techniques for solving linear higher order ordinary differential equations.
4   Wil be able to solve linear systems of ordinary differential equations.
5   Will be able to apply Laplace transform for solving differential equations and systems of differential equations in pplied sciences.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Differential equations and their solutions
2 First order equations for which exact solutions are obtainable
3 First order equations for which exact solutions are obtainable
4 Explicit methods of solving higher order linear differential equations
5 The method of undetermined coefficients
6 The method of variation of parameters, The Cauchy-Euler Equation
7 Second order linear differential equations with constant coefficients and their applications
8 Midterm exam.
9 Series solutions of Linear Differential Equations
10 Series solutions of Linear Differential Equations
11 Systems of Linear Equations
12 Systems of Linear Equations
13 The Laplace transform
14 Partial differential equations

Recomended or Required Reading

Textbook: Differential Equations, Shepley L. Ross, John Willey, 1984
Supplementary Book(s):
References:
1. Theory and Problems of Differential Equations, Frank JR Ayres, Schoum Publishing Co. 1952.
2. Elementary Differential Equations and Boundary Value Problems, W. Boyce & R. Diprima, John Wiley, 1977
3. Differential Equations and Boundary Value Problems, Henry C. Edwards & David E. Penney, Pearon Ed. Inc.
Materials: Presentiations

Planned Learning Activities and Teaching Methods

Lecture notes, presentiations, solving problems, homework.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 PRJ PROJECT
2 MTE MIDTERM EXAM
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE PRJ * 0.30 + MTE * 0.30 + FIN * 0.40
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) PRJ * 0.30 + MTE * 0.30 + RST * 0.40


Further Notes About Assessment Methods

None

Assessment Criteria

Midterm exam, homework, final exam

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

e-mail: gonca.onargan@deu.edu.tr, tel: (232) 301 85 81

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Preparations before/after weekly lectures 12 3 36
Preparation for midterm exam 1 25 25
Preparation for final exam 1 30 30
Preparing assignments 5 6 30
Midterm 1 3 3
Final 1 3 3
TOTAL WORKLOAD (hours) 166

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.15555535355535
LO.25554555545554
LO.33335555545554
LO.45555555454545
LO.55555355455354