HOME INSTITUTIONAL INFORMATIONINFORMATION ON DEGREE PROGRAMMES Computer Engineering (in English)CERTIFICATE PROGRAMMESUSEFUL INFORMATION, RESOURCES & SERVICES FOR STUDENTSUSEFUL LINKS AND DOCUMENTSADITIONAL & SUPPORTING INFORMATION

SECTION I: GENERAL INFORMATION ABOUT THE COURSE

Course Code Course Name Year Semester Theoretical Practical Credit ECTS
60541TAEOZ-MTH3093 Differential Equations 2 Fall 2 2 3 5
Course Type : Compulsory
Cycle: Bachelor      TQF-HE:6. Master`s Degree      QF-EHEA:First Cycle      EQF-LLL:6. Master`s Degree
Language of Instruction: English
Prerequisities and Co-requisities: 60541TAEOZ-MTH3031 - Calculus I
60541TAEOZ-MTH3042 - Calculus II
Mode of Delivery: Face to face
Name of Coordinator: Dr. Öğr. Üyesi BURÇİN KÜLAHÇIOĞLU
Dersin Öğretim Eleman(lar)ı: Dr. Öğr. Üyesi BURÇİN KÜLAHÇIOĞLU
Dersin Kategorisi: Field Specific

SECTION II: INTRODUCTION TO THE COURSE

Course Objectives & Content

Course Objectives: To introduce the basic concepts required to understand, construct, solve and interpret differential equations; to teach various types of differential equation solving techniques; to gain an ability to apply knowledge of mathematics on engineering problems.
Course Content: First Order Differential Equations, Second Order Linear Equations, Higher Order Linear Equations, Series Solutions of Second Order Linear Equations, The Laplace Transform, Systems of First Order Linear Equations.

This course employs the project-based learning approach. In this respect aside from the conventional content the course has a project-based learning component. The project based-learning component aims realising one or more projects designed for learning purposes involving the development of certain intermediary and final deliverables in a step-by-step mannerby the students individually or in project teams. The evaluation of the project-based learning component involves grading the project deliverables and the project works by the instructor and/or a jury.

Course Learning Outcomes (CLOs)

Course Learning Outcomes (CLOs) are those describing the knowledge, skills and competencies that students are expected to achieve upon successful completion of the course. In this context, Course Learning Outcomes defined for this course unit are as follows:
Knowledge (Described as Theoritical and/or Factual Knowledge.)
  1) Understand the conditions for the existence and uniqueness of solutions for linear differential equations.
  2) Find series solutions about ordinary and regular singular points for second order linear differential equations.
Skills (Describe as Cognitive and/or Practical Skills.)
  1) Classify differential equations according to certain features.
  2) Solve first order linear equations and nonlinear equations of certain types and interpret the solutions.
  3) Solve second and higher order linear differential equations with constant coefficients and construct all solutions from the linearly independent solutions.
  4) Solve initial value problems using the Laplace transform.
  5) Solve systems of linear differential equations with methods from linear algebra.
Competences (Described as "Ability of the learner to apply knowledge and skills autonomously with responsibility", "Learning to learn"," Communication and social" and "Field specific" competences.)

Weekly Course Schedule

Week Subject
Materials Sharing *
Related Preparation Further Study
1) Introduction, classification of differential equations Reading assignment, Preparatory study Project work, Homework assignment
2) First Order Differential Equations Reading assignment, Preparatory study Project work, Homework assignment
3) First Order Differential Equations Reading assignment, Preparatory study Project work, Homework assignment
4) First Order Differential Equations
5) Second Order Differential Equations Reading assignment, Preparatory study Project work, Homework assignment
6) Second Order Differential Equations Reading assignment, Preparatory study Project work, Homework assignment
7) Higher Order Differential Equations Reading assignment, Preparatory study Project work, Homework assignment
8) Midterm Exam Reading assignment, Preparatory study Project work, Homework assignment
9) Series Solutions of Second Order Linear Equations Reading assignment, Preparatory study Project work, Homework assignment
10) Series Solutions of Second Order Linear Equations Reading assignment, Preparatory study Project work, Homework assignment
11) The Laplace Transform Reading assignment, Preparatory study Project work, Homework assignment
12) The Laplace Transform
13) Systems of First Order Linear Equations Reading assignment, Preparatory study Project work, Homework assignment
14) Systems of First Order Linear Equations Reading assignment, Preparatory study Project work, Homework assignment
15) Review Reading assignment, Preparatory study Project work, Homework assignment
*These fields provides students with course materials for their pre- and further study before and after the course delivered.

Recommended or Required Reading & Other Learning Resources/Tools

Course Notes / Textbooks: Elementary Differential Equations and Boundary Value Problems, Sixth Edition, William E. Boyce & Richard C. Diprima.
References: Ders notları- Course Notes

SECTION III: RELATIONSHIP BETWEEN COURSE UNIT AND COURSE LEARNING OUTCOMES (CLOs)

(The matrix below shows how the course learning outcomes (CLOs) associates with programme learning outcomes (both KPLOs & SPLOs) and, if exist, the level of quantitative contribution to them.)

Relationship Between CLOs & PLOs

(KPLOs and SPLOs are the abbreviations for Key & Sub- Programme Learning Outcomes, respectively. )
CLOs/PLOs KPLO 1 KPLO 2 KPLO 3 KPLO 4 KPLO 5
1 1 2 3 4 1 2 3 4 5 6 7 8 9 10 1 2 3 4 1 2 3 4 5 6 7 8 9 10 11 12
CLO1
CLO2
CLO3
CLO4
CLO5
CLO6
CLO7

Level of Contribution of the Course to PLOs

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Programme Learning Outcomes Contribution Level (from 1 to 5)
1) Uses and applies theoretical and applied sciences in the field of basic science subjects for the solution of computer engineering problems. 5
2) Analyzes computer engineering applications, designs and develops models to meet specific requirements under realistic constraints and conditions. For this purpose, selects and uses appropriate methods, tools and technologies. 5
3) Owns the competencies required by the constantly developing field of computer engineering and the global competitive environment. 3
4) Applies the theoretical knowledge in business life during a semester.
5) S/he acquires the competencies that develop by the expectations of business world and the society defined as the institutional outcomes of our university on the advanced level in relation with his/her field.

SECTION IV: TEACHING-LEARNING & ASSESMENT-EVALUATION METHODS OF THE COURSE

Teaching & Learning Methods of the Course

(All teaching and learning methods used at the university are managed systematically. Upon proposals of the programme units, they are assessed by the relevant academic boards and, if found appropriate, they are included among the university list. Programmes, then, choose the appropriate methods in line with their programme design from this list. Likewise, appropriate methods to be used for the course units can be chosen among those defined for the programme.)
Teaching and Learning Methods defined at the Programme Level
Teaching and Learning Methods Defined for the Course
Lectures
Discussion
Case Study
Problem Solving
Demonstration
Views
Laboratory
Reading
Homework
Project Preparation
Thesis Preparation
Peer Education
Seminar
Technical Visit
Course Conference
Brain Storming
Questions Answers
Individual and Group Work
Role Playing-Animation-Improvisation
Active Participation in Class

Assessment & Evaluation Methods of the Course

(All assessment and evaluation methods used at the university are managed systematically. Upon proposals of the programme units, they are assessed by the relevant academic boards and, if found appropriate, they are included among the university list. Programmes, then, choose the appropriate methods in line with their programme design from this list. Likewise, appropriate methods to be used for the course units can be chosen among those defined for the programme.)
Aassessment and evaluation Methods defined at the Programme Level
Assessment and Evaluation Methods defined for the Course
Midterm
Presentation
Final Exam
Quiz
Report Evaluation
Homework Evaluation
Oral Exam
Thesis Defense
Jury Evaluation
Practice Exam
Evaluation of Implementation Training in the Workplace
Active Participation in Class
Participation in Discussions

Relationship Between CLOs & Teaching-Learning, Assesment-Evaluation Methods of the Course

(The matrix below shows the teaching-learning and assessment-evaluation methods designated for the course unit in relation to the course learning outcomes.)
LEARNING & TEACHING METHODS
COURSE LEARNING OUTCOMES
ASSESMENT & EVALUATION METHODS
CLO1 CLO2 CLO3 CLO4 CLO5 CLO6 CLO7
-Lectures -Midterm
-Discussion -Presentation
-Case Study -Final Exam
-Problem Solving -Quiz
-Demonstration -Report Evaluation
-Views -Homework Evaluation
-Laboratory -Oral Exam
-Reading -Thesis Defense
-Homework -Jury Evaluation
-Project Preparation -Practice Exam
-Thesis Preparation -Evaluation of Implementation Training in the Workplace
-Peer Education -Active Participation in Class
-Seminar - Participation in Discussions
-Technical Visit
-Course Conference
-Brain Storming
-Questions Answers
-Individual and Group Work
-Role Playing-Animation-Improvisation
-Active Participation in Class

Contribution of Assesment & Evalution Activities to Final Grade of the Course

Measurement and Evaluation Methods # of practice per semester Level of Contribution
Quizzes 2 % 10.00
Project 1 % 20.00
Midterms 1 % 20.00
Semester Final Exam 1 % 50.00
Total % 100
PERCENTAGE OF SEMESTER WORK % 50
PERCENTAGE OF FINAL WORK % 50
Total % 100

SECTION V: WORKLOAD & ECTS CREDITS ALLOCATED FOR THE COURSE

WORKLOAD OF TEACHING & LEARNING ACTIVITIES
Teaching & Learning Activities # of Activities per semester Duration (hour) Total Workload
Course 14 2 28
Laboratory 0 0 0
Application 14 2 28
Special Course Internship (Work Placement) 0 0 0
Field Work 0 0 0
Study Hours Out of Class 14 2 28
Presentations / Seminar 0 0 0
Project 1 12 12
Homework Assignments 4 2 8
Total Workload of Teaching & Learning Activities - - 104
WORKLOAD OF ASSESMENT & EVALUATION ACTIVITIES
Assesment & Evaluation Activities # of Activities per semester Duration (hour) Total Workload
Quizzes 2 3 6
Midterms 1 6 6
Semester Final Exam 1 12 12
Total Workload of Assesment & Evaluation Activities - - 24
TOTAL WORKLOAD (Teaching & Learning + Assesment & Evaluation Activities) 128
ECTS CREDITS OF THE COURSE (Total Workload/25.5 h) 5