BUSINESS MATHEMATICS PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
YBS110	BUSINESS MATHEMATICS	2	3	3	6

GENERAL INFORMATION
Language of Instruction :	Turkish
Level of the Course Unit :	BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Type of the Course :	Compulsory
Mode of Delivery of the Course Unit	-
Coordinator of the Course Unit	Assist.Prof. DİDEM TETİK KÜÇÜKELÇİ
Instructor(s) of the Course Unit	Assist.Prof. SERKAN ÇAKMAK-Assist.Prof. YILDIZ AYDIN
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	This course aims to introduce the most important mathematical tools and methods in business and economics environments and to teach the basic principles of mathematics.
Contents of the Course Unit:	Contents of the course include the subjects such as linear algebra-matrices, vectors, geometric series and interest calculations, bonds, residual and nominal value, coordinates, differential equations, linear optimization.

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)
Performs operations on the matrix. (Application, Blooms' 3)
Defines Echelon Form of Matrix, can count Elementary Row Operations. (Knowledge, Blooms' 1)
Converts a given matrix into row Echelon Form. Finds the inverse of the Square Matrix. (Application, Blooms' 3)
Finds solution set of linear equation systems with Gauss-Jordan Elimination Method. (Application, Blooms' 3)
Analyze the linear independence of the given vectors. (Analysis, Blooms' 4)
Finds the inverse of a given square matrix with the help of a determinant and obtains the solution of the linear equation system with Cramer's rule. (Application, Blooms' 3)
Makes input-output analysis of sectors with matrix and determinant and demand table. (Analysis, Blooms' 4)
Given the interest rate and annuity amount, Calculates the amount of installments to be paid in the future or retrospectively. (Analysis, Blooms' 4)
Calculates Marginal revenue, marginal cost and maximum profit by using derivatives. (Analysis, Blooms' 4)
Uses integration methods, shows the consumer and producer surplus on the graph and finds its value. (Insight, Blooms' 2)(Analysis, Blooms' 4)

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	Literature Review	Linear Equations and Joint Solutions, Zero Profit and Market Equilibrium	Lecture & Problem Solving
2	Literature Review	Matrices and Operations on Matrices, Matrix Inverse and Echelon Form Definitions	Lecture & Problem Solving
3	Literature Review	Systems of Linear Equations, Gauss-Jordan Elimination Method, Finding the Inverse Matrix	Lecture & Problem Solving
4	Literature Review	Vectors and Vector Operations, Geometric Interpretation of Vector Operations, Linear Independence	Lecture & Problem Solving
5	Literature Review	Determinants, Determinant of 2x2 and 3x3 Type Matrices, Calculation of Determinant with Minors	Lecture & Problem Solving
6	Literature Review	Adjoint Matrix of a Square Matrix, Finding the Inverse of the Matrix with the Adjoint Matrix, Cramer's Rule	Lecture & Problem Solving
7	Literature Review	Input-Output Analysis	Lecture & Problem Solving
8	-	MID-TERM EXAM	-
9	Literature Review	Arithmetic Series and Simple Interest, Geometric Series and Compound Interest, Future and Present Value of an Investment	Lecture & Problem Solving
10	Literature Review	Anuites and their Present and Future Value,	Lecture & Problem Solving
11	Literature Review	Business Applications of Limit, Continuous Compound Interest	Lecture & Problem Solving
12	Literature Review	Business Applications of Derivative, Marginal Revenue and Marginal Cost Concepts	Lecture & Problem Solving
13	Literature Review	Antiderivative, Integration Methods, Variable Transformation, Partial Integration	Lecture & Problem Solving
14	Literature Review	Integration with Partial Fractions Method	Lecture & Problem Solving
15	Literature Review	Definite Integral, Consumer and Producer Surplus	Lecture & Problem Solving
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

SOURCE MATERIALS & RECOMMENDED READING
Didem TETİK KÜÇÜKELÇİ, Deniz ALTUN, Yıldız AYDIN, Nesibe MANAV MUTLU, Matematik: İktisadi ve İdari Bilimler Fakülteleri İçin, İGÜ Yayınları,
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ASSESSMENT
Assessment & Grading of In-Term Activities	Number of Activities	Degree of Contribution (%)	Description

Level of Contribution
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Define concepts such as management, manager and leader.					4
2	Analyze the accuracy, reliability and validity of the new information obtained from the data.						5

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Report the obtained data.					4
2	Prepare software and projects related with the field.						5

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Use the appropriate resources for data analysis related with the field.						5
2	Analyze the work processes.						5

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Manage projects as part of a team.					4
2	Apply the material, techniques and analyzes in relation with the subject for project and work flows.						5

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Fulfill responsibility with a focus on result in individual and team studies.					4

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Recognizes what he/she knows about his/her field or not.						5
2	Act the theoretical knowledge in real life with learning to learn approach.						5
3	Apply different methods and techniques with an innovative approach in his/her research.						5

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Apply the results obtained in accordance with voluntarism and social responsibility projects.						5
2	Establish a healthy contact with colleagues				3
3	Share the analyzes and obtained results with colleagues.				3
4	Cooperate with colleagues at international level with the help of foreign language competency.			2

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Behave in accordance with ethical values regarding the collection, analysis and reporting of data.						5
2	Participate the design of work processes and systems with full quality.						5
3	Cooperate with other employees for the continuation of sustainability in the profession.					4

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	3	42
Preliminary & Further Study	13	2	26
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	13	1	13
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	1	1
Preparation for the Final Exam	7	5	35
Mid-Term Exam	1	1	1
Preparation for the Mid-Term Exam	6	6	36
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	55	0	154