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SECTION I: GENERAL INFORMATION ABOUT THE COURSE

Course Code Course Name Year Semester Theoretical Practical Credit ECTS
60541TATOZ-DOT0311 Numerical Methods and Applications 1 Fall 2 0 2 4
Course Type : Compulsory
Cycle: Bachelor      TQF-HE:6. Master`s Degree      QF-EHEA:First Cycle      EQF-LLL:6. Master`s Degree
Language of Instruction: Turkish
Prerequisities and Co-requisities: N/A
Mode of Delivery: Face to face
Name of Coordinator: Instructor ERSİN ŞAHİN
Dersin Öğretim Eleman(lar)ı: Instructor ERSİN ŞAHİN
Dersin Kategorisi: Field Specific

SECTION II: INTRODUCTION TO THE COURSE

Course Objectives & Content

Course Objectives: Developing problem solving skills using numerical methods and computer programs. It is the creation of the digital infrastructure required for writing.
Course Content: Basic Python usage, Scratch program usage, number systems, error analysis, basic analysis of algorithms (Flow diagrams, Kruskal, Greed algorithm, Euclidean, Magic Square, etc.), matrix operations, recursive functions, numerical derivative and integral, interpolation, data visualization
and graphing operations with matploit, data analysis with pandas, determining the roots of equations with numerical methods. finding (trapezoidal, beam, Newton-raphson), pigeonhole principle, data types, basic computer measurement numerical analysis of various games (xox, nim, saying zero loses, coin flip, win-win, postman, surviving slave), Nash theorem, graph theorem

Course Specific Rules

There is no specific rules.

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) Defines the algorithm elements of the programming process.
  2) Error analysis explains the basic terminology of the field.
  3) Explains data structures.
  4) Explain the basic computer concepts.
Skills (Describe as Cognitive and/or Practical Skills.)
  1) To have the ability to develop algorithms
  2) To have the ability to write programs in the Python language
  3) To have knowledge about data structures and data analysis
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.)
  1) Applies the numerical methods acquired in code writing projects.

Weekly Course Schedule

Week Subject
Materials Sharing *
Related Preparation Further Study
1) Introduction of the Python program, Basic computer terms (data types), Computer measurement units, Number systems (2,8,16 number systems-ASCII codes) Analysis of the algorithms of Nurikabe, Sudoku and lights out game problems None -
2) Numerical Error Analysis, Error sources, Usage of small and large numbers in the same process, Types of Errors; Truncation error, Rounding error, Error Calculation Methods, Absolute error, Relative error, Approximation error None -
3) Basic Algorithm analysis- flow diagrams, Kruskal Greed algorithm, Magic square algorithm (for 3x3 and 4x4), Euclidean algorithm, Card sequencing algorithm, Sorting algorithms, Fast sorting, Bubble sorting, Hidden secrets of modern life documentary None -
4) Matrix Operations, Matrix types (identity matrix, symmetric ...), Four operations in matrices, Determinant of matrices, Transposition of matrices, trace, Finding inverse matrix, Covariance matrix, Numerical operations on matrices with Python Numpy, Quiz-1 (5%) None -
5) Recursive functions, Numerical derivative, Numerical integral, Interpolation None -
6) Data analysis with Python Pandas None -
7) Data visualization Quiz-2 with Python Matploit (5%) None -
8) Mid-term (%30) None -
9) Finding the roots of equations by numerical methods, Trapezoidal, Beam Method, Newton-Raphson, Pigeonhole principle and its applications None -
10) Nash Theorem, Prisoner-prisoner dilemma (Game theory), John Nash documentary program None -
11) Min-Max theorem (XOX), Concept of symmetry (round checkers), Postman question (girl's age), Algorithm to find the surviving slave with the king, Racehorse problem, Hanoi towers numerical analysis, Poker return matrix None -
12) The theory of the table game and its application with Python, None -
13) Finding the money in the pocket game, 9 Billiard games, Dividing the clock into three zones game, 4 +4 numbers / 137 / numbers game Finding gold by digital measuring game, Maze game, Competitive-collaborative games, None -
14) Graph theory (graph theorem), Three-door game (Monty Hall problem), X and Y game, Representation of Finite and Infinite games, Birthdays (statistical calculation), Fizz-buzz game with Python, Digital game design with Scratch program, Daisy Horoscope, Game factors, Fraudulent dice problem None -
*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: Hoca Ders Notu / Lecturer Course Note
References: 1- Bakioğlu, M.; Sayısal Analiz, Beta Yayınları.
2- Veri Yapıları ve Algoritmalar, Toros Rifat ÇÖLKESEN
3- Data Veri Madenciliği - Veri Analizi, Haldun Akpınar, Papatya Yayınları
4- Nümerik Analiz, Bekir Karaoğlu
5- Veri Analizi, Nuran Bayram
6-Behiç Çağal : Sayısal Analiz, Birsen Yayınevi.
7-Sayısal analiz ve mühendislik uygulamaları / İrfan Karagöz.
8-Sayısal analiz / Behiç Çağal
9-Sayısal yöntemler / Zekai Yılmaz.
10-Sayısal çözümleme / Recep Tapramaz.
11- Matematik ve Oyun / Ali Nesin

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 2 3 1 2 3 4 5 6 7 1 2 3 1 2 3 1 2 3 4 5 6 7 8 9 10 11 12
CLO1
CLO2
CLO3
CLO4
CLO5
CLO6
CLO7
CLO8

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) Defines the concepts of computer science and design techniques required in Digital Game Design.
2) Creates digital games supported with current technology and designs in line with the determined goals. 4
3) Designs artistic structure to support digital game design.
4) Analyzes the structures, logical framework and mechanisms of analog and digital games. 3
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. 5

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 CLO8
-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 1 % 10.00
Homework Assignments 1 % 10.00
Midterms 1 % 30.00
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 2 10 20
Special Course Internship (Work Placement) 0 0 0
Field Work 0 0 0
Study Hours Out of Class 0 0 0
Presentations / Seminar 0 0 0
Project 0 0 0
Homework Assignments 1 5 5
Total Workload of Teaching & Learning Activities - - 53
WORKLOAD OF ASSESMENT & EVALUATION ACTIVITIES
Assesment & Evaluation Activities # of Activities per semester Duration (hour) Total Workload
Quizzes 2 10 20
Midterms 1 10 10
Semester Final Exam 1 15 15
Total Workload of Assesment & Evaluation Activities - - 45
TOTAL WORKLOAD (Teaching & Learning + Assesment & Evaluation Activities) 98
ECTS CREDITS OF THE COURSE (Total Workload/25.5 h) 4