ECTS - Theory of Difference Equations

Theory of Difference Equations (MATH485) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Theory of Difference Equations MATH485 Area Elective 3 0 0 3 6
Pre-requisite Course(s)
N/A
Course Language English
Course Type Technical Elective Courses
Course Level Bachelor’s Degree (First Cycle)
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture, Question and Answer, Team/Group.
Course Coordinator
Course Lecturer(s)
Course Assistants
Course Objectives
Course Learning Outcomes The students who succeeded in this course;
  • understand that there is an analogy between the difference and the differential equations,
  • find explicit solutions of linear difference equations with constant coefficients,
  • have tools for mathematical modeling of some practical discrete phenomena.
Course Content The difference calculus, linear difference equations, linear systems of difference equations, self-adjoint second-order linear equations, the Sturm-Liouville eigenvalue problem, boundary value problems for nonlinear equations.

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 The difference operator, Summation. pp. 15-36

Sources

Course Book 1. W. G. Kelly and A. C. Peterson, Difference Equations: An Introduction with Applications, Academic Press, New York, 1991.
Other Sources 2. R. Agarwal, Difference Equations and Inequalities, 2nd ed., Marcell Dekker, New York, 2000.
3. S. Elaydi, An Introduction to Difference Equations, Springer-Verlag, New York, 1996.

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 5 10
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 50
Final Exam/Final Jury 1 40
Toplam 8 100
Percentage of Semester Work 60
Percentage of Final Work 40
Total 100

Course Category

Core Courses X
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Adequate knowledge in mathematics, science and subjects specific to the software engineering discipline; the ability to apply theoretical and practical knowledge of these areas to complex engineering problems. X
2 The ability to identify, define, formulate and solve complex engineering problems; selecting and applying proper analysis and modeling techniques for this purpose.
3 The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose.
4 The ability to develop, select and utilize modern techniques and tools essential for the analysis and determination of complex problems in software engineering applications; the ability to utilize information technologies effectively.
5 The ability to gather data, analyze and interpret results for the investigation of complex engineering problems or research topics specific to the software engineering discipline.
6 The ability to work effectively in inter/inner disciplinary teams; ability to work individually.
7 Effective oral and written communication skills in Turkish; the ability to write effective reports and comprehend written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
8 The knowledge of at least one foreign language; the ability to write effective reports and comprehend written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
9 Recognition of the need for lifelong learning; the ability to access information and follow recent developments in science and technology with continuous self-development
10 The ability to behave according to ethical principles, awareness of professional and ethical responsibility.
11 Knowledge of the standards utilized in software engineering applications.
12 Knowledge on business practices such as project management, risk management and change management.
13 Awareness about entrepreneurship, and innovation.
14 Knowledge on sustainable development.
15 Knowledge of the effects of software engineering applications on the universal and social dimensions of health, environment, and safety.
16 Awareness of the legal consequences of engineering solutions.
17 An ability to apply algorithmic principles, mathematical foundations, and computer science theory in the modeling and design of computer-based systems with the trade-offs involved in design choices.
18 The ability to apply engineering approach to the development of software systems by analyzing, designing, implementing, verifying, validating and maintaining software systems.

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class
Presentation/Seminar Prepration
Project
Report
Homework Assignments 5 4 20
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 20 40
Prepration of Final Exams/Final Jury
Total Workload 60