Course Information

Semester	Course Unit Code	Course Unit Title	T+P+L	Credit	Number of ECTS Credits	Last Updated Date
1	MYO105	MATHEMATICAL PROBLEM SOLVING TECHNIQUES	2+0+0	2	4	22.04.2026

Course Details

Language of Instruction	Turkish
Level of Course Unit	Bachelor's Degree
Department / Program	ORTAK DERSLER (MYO)
Type of Program	Formal Education
Type of Course Unit	Elective
Course Delivery Method	Face To Face
Objectives of the Course	To provide students with the skills to analyze, model, and solve mathematical problems; to enable them to develop systematic and creative approaches to problems in different disciplines by teaching fundamental strategies such as Polya's problem-solving steps.
Course Content	Introduction to problem-solving strategies, understanding the problem, devising and implementing a plan; theoretical and applied examination of induction, deduction, working backwards, pattern finding, simplification, and mathematical modeling techniques.
Course Methods and Techniques	Lecture, discussion, question-answer, collaborative learning, problem-based learning (PBL), brainstorming, and active learning techniques supported by group work.
Prerequisites and co-requisities	None
Course Coordinator	None
Name of Lecturers	Asist Prof.Dr. Gizem Kahrıman gizem.kahriman@gedik.edu.tr
Assistants	None
Work Placement(s)	No

Recommended or Required Reading

Resources
Course Notes	Weekly lecture presentations prepared by the instructor, problem sets.
Documents	Balcı, M. - "Temel Matematik", Yargı Yayınevi - DGS Matematiksel Akıl Yürütme Soruları

Course Category

Mathematics and Basic Sciences	%80
Education	%20

Planned Learning Activities and Teaching Methods

Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration	Total Work Load
Course Duration	14	2	28
Hours for off-the-c.r.stud	14	2	28
Assignments	2	10	20
Mid-terms	1	8	8
Practice	1	6	6
Final examination	1	12	12
Total Work Load			Number of ECTS Credits 4 102

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:

No	Learning Outcomes
1	Systematically applies problem-solving steps (understanding, planning, implementing, checking) by analyzing mathematical problems.
2	Translates complex problems from daily life or different disciplines into mathematical expressions and constructs appropriate solution models.
3	Makes inferences in numerical logic problems requiring graphics, tables, and spatial skills and develops data-driven solutions.
4	Evaluates the accuracy and logical consistency of the solutions obtained, as well as the efficiency of alternative solution methods, in an academic language.

Weekly Detailed Course Contents

Week	Topics	Study Materials	Materials
1	Fundamental Concepts, Number Base Systems
2	Division and Divisibility, Prime Numbers, Greatest Common Divisor (GCD) and Least Common Multiple (LCM)
3	Rational Numbers, Factorization
4	Equations, Basic Inequalities
5	Exponents and Powers, Radicals and Roots
6	Ratio and Proportion
7	Number and Fraction Problems, Age Problems
8	Percentage, Profit and Loss Problems, Mixture Problems
9	Work and Pipe Problems, Motion (Velocity) Problems, Graph and Data Interpretation Problems
10	Sets, Binary Operations and Modular Arithmetic, Functions
11	Permutations and Combinations, Probability
12	Numerical Logic / Mathematical Reasoning
13	Angles and Triangles, Polygons and Quadrilaterals
14	Circles and Disks, Solid Geometry (3D Shapes), Analytic Geometry

Sustainable Development Goals

Contribution of Learning Outcomes to Programme Outcomes

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https://obs.gedik.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=243289&lang=en