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MATHEMATICS PROGRAMME COURSE DESCRIPTION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT155 MATHEMATICS 1 2 2 5

GENERAL INFORMATION

Language of Instruction : Turkish
Level of the Course Unit : ASSOCIATE DEGREE, TYY: + 5.Level, EQF-LLL: 5.Level, QF-EHEA: Short Cycle
Type of the Course : Compulsory
Mode of Delivery of the Course Unit -
Coordinator of the Course Unit Assist.Prof. NİHAN ÜNLÜ
Instructor(s) of the Course Unit Lecturer ALEYNA ÇAVDAR
Course Prerequisite No

OBJECTIVES AND CONTENTS

Objectives of the Course Unit: The aim of this course is to provide students with the fundamental concepts and principles of mathematics, to enable them to understand the relationships between number systems and algebraic structures, and to contribute to their effective use of mathematical knowledge in problem-solving processes by developing their mathematical thinking skills.
Contents of the Course Unit: The content of this course covers the following topics: natural and rational numbers, the four basic operations, equations and inequalities, divisibility rules, the concept of place value, prime numbers, GCD-LCM, factorial, exponents and roots, factorization, functions, and identities. • It explains the basic concepts and terms used in mathematics..

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)

Explains fundamental concepts and terms used in mathematics.
Defines number systems and the relationships between them.
Expresses the logic behind basic arithmetic operations and algebraic rules.
Explains basic approaches to solving equations and inequalities.
Expresses different forms of representation of mathematical expressions.
Defines the methods used in the mathematical problem-solving process.
Explains the findings obtained as a result of mathematical operations.
Expresses the relationships between algebraic expressions and relations.
Explains the similarities and differences between mathematical concepts.
Expresses the role and importance of mathematics in problem-solving.

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY

Week Preparatory Topics(Subjects) Method
1 Literature Review Natural numbers and basic operations Explanation, Question-Answer, Problem Solving
2 Literature Review Rational numbers Explanation, Question-Answer, Problem Solving
3 Literature Review Equations and inequalities Explanation, Question-Answer, Problem Solving
4 Literature Review Divisibility rules Explanation, Question-Answer, Problem Solving
5 Literature Review Place value concept and prime numbers Explanation, Question-Answer, Problem Solving
6 Literature Review GCD-LCM Explanation, Question-Answer, Problem Solving
7 Literature Review Applications of GCD-LCM Explanation, Question-Answer, Problem Solving
8 Literature Review Factorial Explanation, Question-Answer, Problem Solving
9 Literature Review Exponents Explanation, Question-Answer, Problem Solving
10 - MID-TERM EXAM -
11 Literature Review Radicals Explanation, Question-Answer, Problem Solving
12 Literature Review Factoring Explanation, Question-Answer, Problem Solving
13 Literature Review Functions Explanation, Question-Answer, Problem Solving
14 Literature Review Identities Explanation, Question-Answer, Problem Solving
15 Literature Review Problems and Applications of Professional Statistics Explanation, Question-Answer, Problem Solving
16 - FINAL EXAM -
17 - FINAL EXAM -

SOURCE MATERIALS & RECOMMENDED READING

Stewart, J., Redlin, L., & Watson, S. (2016). Precalculus: Mathematics for calculus (7th ed.). Boston, MA: Cengage Learning.
Balcı, M. (2018). Genel matematik (7. baskı). Ankara: Palme Yayıncılık.
Özdemir, M. (2015). Genel matematik ve problem çözme. İstanbul: Beta Basım Yayım.
Çelik, A., & Yıldız, N. (2017). Temel matematik. Ankara: Nobel Akademik Yayıncılık.

ASSESSMENT

Assessment & Grading of In-Term Activities Number of Activities Degree of Contribution (%) Description Examination Method
Mid-Term Exam 1 50 Classical Exam
Final Exam 1 50 Classical Exam
TOTAL 2 100
Level of Contribution
0 1 2 3 4 5

CONTRIBUTION OF THE COURSE UNIT TO THE PROGRAMME LEARNING OUTCOMES

KNOWLEDGE

Theoretical

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Students acquire up-to-date theoretical knowledge in Anatomy, Physiology, Physics, Physics and Geometric Optics, Optical Instruments and Materials, which are required in the field of optometry.
5

KNOWLEDGE

Factual

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
The principles of occupational health and safety, environmental awareness, professional ethics, and quality assurance processes necessary for safe, controlled, and standards-compliant work in the optician's environment are based on theoretical foundations.
1

SKILLS

Cognitive

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
It evaluates professional problems and situations encountered in the field of optometry with an analytical, critical, and scientifically based approach, and offers appropriate solutions.
4

SKILLS

Practical

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
They effectively use professional information technologies, optical design programs, measurement software, and digital data management systems.
1
2
By using optical devices, measuring instruments, and workshop equipment efficiently, safely, and methodically, he integrates them into professional practices by monitoring technological developments.
1

OCCUPATIONAL

Autonomy & Responsibility

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Of the obligations to be fulfilled successfully and correctly.
3
2
Knowing the risks to the health sector and industry make the right decisions.
0
3
Health sector and the sector's risk requires knowing the true teamwork in the unit, compatible and effective to çalışır.al.
2

OCCUPATIONAL

Learning to Learn

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
They communicate effectively and clearly, both orally and in writing, expressing their knowledge and opinions in their field, thus maintaining effective communication with colleagues, patients, and other healthcare professionals.
3
2
In professional settings, they assume responsibility as an effective team member in workshop and optical sales environments.
0
3
As an optician, they possess the ability to quickly assess, make appropriate decisions, and generate solutions in unexpected and complex professional situations, thus adapting to varying working conditions.
3
4
As an individual with a lifelong learning culture focused on continuous self-improvement, they follow professional innovations, developments in optical technologies, and current scientific publications.
2

OCCUPATIONAL

Communication & Social

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
They gain language proficiency in a foreign language that enables them to communicate with healthcare professionals through professional publications and national and international resources.
0
2
Demonstrates practical skills in inventory management, customer relations, sales processes, and compliance with professional regulations in optical retail businesses.
0

OCCUPATIONAL

Occupational and/or Vocational

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
By analyzing the technical specifications of eyeglass frames, contact lenses, and optical materials, it selects and adapts products to suit an individual's vision needs.
0
2
The optical workshop ensures product quality by performing frame assembly, lens edge processing, repair, and adjustment processes in accordance with standards.
0
3
By evaluating prescription parameters, it accurately and precisely applies lens centering, optical axis adjustment, pupillary distance measurement, and related optical calculations.
0

WORKLOAD & ECTS CREDITS OF THE COURSE UNIT

Workload for Learning & Teaching Activities

Type of the Learning Activites Learning Activities (# of week) Duration (hours, h) Workload (h)
Lecture & In-Class Activities 14 2 28
Preliminary & Further Study 14 6 84
Land Surveying 0 0 0
Group Work 0 0 0
Laboratory 0 0 0
Reading 0 0 0
Assignment (Homework) 0 0 0
Project Work 0 0 0
Seminar 0 0 0
Internship 0 0 0
Technical Visit 0 0 0
Web Based Learning 0 0 0
Implementation/Application/Practice 0 0 0
Practice at a workplace 0 0 0
Occupational Activity 0 0 0
Social Activity 0 0 0
Thesis Work 0 0 0
Field Study 0 0 0
Report Writing 0 0 0
Final Exam 1 2 2
Preparation for the Final Exam 1 8 8
Mid-Term Exam 1 2 2
Preparation for the Mid-Term Exam 1 5 5
Short Exam 0 0 0
Preparation for the Short Exam 0 0 0
TOTAL 32 0 129
Total Workload of the Course Unit 129
Workload (h) / 25.5 5,1
ECTS Credits allocated for the Course Unit 5,0