SECTION I: GENERAL INFORMATION ABOUT THE COURSE

Course Code	Course Name	Year	Semester	Theoretical	Practical	Credit	ECTS
ISL6106	Business Mathematics	0	Spring	3	0	3	6

Course Type :	University Elective
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 FATMA NUR BUDAK
Dersin Öğretim Eleman(lar)ı:	Instructor FATMA NUR BUDAK
Dersin Kategorisi:

SECTION II: INTRODUCTION TO THE COURSE

Course Objectives & Content

Course Objectives:

The objective of this course is to equip students with fundamental mathematical knowledge, including the basic concepts of limits and differential calculus methods related to functions, and the ability to sketch the graphs of some essential functions. Furthermore, the course aims to provide students with the necessary mathematical background for subsequent courses such as Microeconomics and Operations Research.

Course Content:

This course covers the concepts of limits and continuity, derivatives and differentiation rules, derivatives of logarithmic and exponential functions, implicit and logarithmic differentiation, local maxima and minima, concavity analysis, curve sketching, L’Hôpital’s rule, optimization, antiderivatives and integration techniques, change of variables, integration by parts and partial fractions, area calculations between curves, and the fundamental concepts of multivariable functions.

Course Specific Rules

Attendance: Students are required to attend at least 70% of the classes.

Class Participation: Active participation, asking questions, and engaging in problem-solving discussions are expected throughout the course.

Late Submissions: Assignments must be submitted on the specified dates. Late submissions may result in a deduction of points.

Academic Integrity: Cheating, plagiarism, or presenting another person’s work as one’s own is strictly prohibited.

Exam Rules: The use of electronic devices other than a calculator is not allowed during exams.

Communication: Students are encouraged to ask questions and seek clarification on topics they do not understand during class or office hours.

Classroom Discipline: Students should avoid any distracting behaviors (such as phone use or side conversations) during class sessions.

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) Can explain the concepts of limit and continuity and perform limit calculations for different types of functions.
Skills *(Describe as Cognitive and/or Practical Skills.)*
1) Can calculate the derivatives of power, product, quotient, exponential, and logarithmic functions using the concept of derivatives and apply the chain rule.
2) Implicit differentiation and logarithmic differentiation methods to obtain the derivatives of complex functions
3) Can determine the local maximum and minimum points of a function and perform curve sketching by analyzing its concavity and convexity properties.
4) Can solve area calculations between curves and application problems using indefinite integrals and basic integration techniques (such as substitution and integration by parts), and can interpret the fundamental properties of multivariable functions.
5) Can apply partial differentiation techniques for functions of multiple variables and use these methods to interpret marginal analysis problems in the fields of business and economics.
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) Can solve optimization problems using L`Hospital`s Rule and the concept of derivatives, and can construct mathematical models for economic and applied problems.

Weekly Course Schedule

Week	Subject	Materials Sharing *
		Related Preparation	Further Study
1)	Limits and Continuity	Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
2)	Limits and Continuity	Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
3)	Derivative, Derivative of Power, Derivative of Product and Division	Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
4)	Derivatives of Logarithmic and Exponential Functions and the Chain Rule	Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
5)	Implicit Differentiation and Logarithmic Differentiation	Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
6)	Local Maximum–Minimum and Curvature (Inward/Outward Orientation)	Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
7)	Curve Drawing	Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
8)	Midterm Exam
9)	L'Hospital's Rule and Optimization	Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
10)	Antiderivatives and Indefinite Integrals, Integration Techniques	Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
11)	Transformation of Variables and Integration with Rational Fractions	Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
12)	Partial Integration	Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
13)	Area Between Curves and Its Applications	Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
14)	Functions of More Than One Variable	Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.

*These fields provides students with course materials for their pre- and further study before and after the course delivered.

DERS ÖĞRENME ÇIKTILARI - PROGRAM ÖĞRENME ÇIKTILARI İLİŞKİSİ

Contribution of The Course Unit To The Programme Learning Outcomes

Ders Öğrenme Çıktıları (DÖÇ)	1	2	3	4	6	7	5
Program Öğrenme Çıktıları (PÖÇ)
1) Explain the fundamental concepts, historical development, and theoretical framework of graphic design.
2) Define typography, color theory, and composition principles in visual communication design.
3) Evaluate the social, cultural, and ethical aspects of graphic design to develop an interdisciplinary perspective.
4) Develop original and innovative design solutions using creative problem-solving methods.
5) Apply visual hierarchy, perception psychology, and user experience (UX) principles to design for international markets.
6) Effectively use digital tools and design software to produce professional graphic design work.
7) Take responsibility in international graphic design projects individually or within a team to develop creative solutions.
8) Manage graphic design projects and plan processes while applying a professional work discipline.
9) Continuously improve by following global innovations, technologies, and methodologies in graphic design.
10) Adopt intercultural design principles to create visual solutions for global audiences.
11) Develop design solutions that are culturally sensitive, ethically appropriate, and sustainable.
12) Work independently or participate in teamwork within graphic design processes.

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

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)	Explain the fundamental concepts, historical development, and theoretical framework of graphic design.
2)	Define typography, color theory, and composition principles in visual communication design.
3)	Evaluate the social, cultural, and ethical aspects of graphic design to develop an interdisciplinary perspective.
4)	Develop original and innovative design solutions using creative problem-solving methods.
5)	Apply visual hierarchy, perception psychology, and user experience (UX) principles to design for international markets.
6)	Effectively use digital tools and design software to produce professional graphic design work.
7)	Take responsibility in international graphic design projects individually or within a team to develop creative solutions.
8)	Manage graphic design projects and plan processes while applying a professional work discipline.
9)	Continuously improve by following global innovations, technologies, and methodologies in graphic design.
10)	Adopt intercultural design principles to create visual solutions for global audiences.
11)	Develop design solutions that are culturally sensitive, ethically appropriate, and sustainable.
12)	Work independently or participate in teamwork within graphic design processes.

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
Problem Solving
Demonstration
Brain Storming
Questions Answers
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
Final Exam
Quiz

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

Measurement and Evaluation Methods	# of practice per semester	Level of Contribution
Quizzes	1	% 15.00
Midterms	1	% 35.00
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	3	42
Laboratory	0	0	0
Application	0	0	0
Special Course Internship (Work Placement)	0	0	0
Field Work	0	0	0
Study Hours Out of Class	14	1.5	21
Presentations / Seminar	0	0	0
Project	0	0	0
Homework Assignments	0	0	0
Total Workload of Teaching & Learning Activities	-	-	63
WORKLOAD OF ASSESMENT & EVALUATION ACTIVITIES
Assesment & Evaluation Activities	# of Activities per semester	Duration (hour)	Total Workload
Quizzes	1	16	16
Midterms	1	30	30
Semester Final Exam	1	44	44
Total Workload of Assesment & Evaluation Activities	-	-	90
TOTAL WORKLOAD (Teaching & Learning + Assesment & Evaluation Activities)			153
ECTS CREDITS OF THE COURSE (Total Workload/25.5 h)			6