MATHEMATICS II PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MAT126	MATHEMATICS II	2	3	3	7

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	Assoc.Prof. ONUR ÖZDEMİR
Instructor(s) of the Course Unit
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	The aim of this course, which is a continuation of Mathematics I course for International Trade students, is to teach theoretical information such as derivative and integral based on the concepts and methods learned in Mathematics I course and to show the application of theoretical knowledge in international trade.
Contents of the Course Unit:	Linear algebra - matrices, vectors, limit and applications, derivative and applications, integral and applications

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)
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	Reading	Business Applications of Limit, Continuous Compound Interest	Lecture&Question and Answer&Discussion
2	Reading	Business Applications of Derivative, Marginal Revenue and Marginal Cost Concepts	Lecture&Question and Answer&Discussion
3	Reading	Antiderivative, Integration Methods, 1-Substitution Method	Lecture&Question and Answer&Discussion
4	Reading	2-Partial Integration Method 3-Integration with Partial Fractions Method	Lecture&Question and Answer&Discussion
5	Reading	Definite Integral	Lecture&Question and Answer&Discussion
6	Reading	Integral Area Account	Lecture&Question and Answer&Discussion
7	Reading	Consumer and Producer Surplus	Lecture&Question and Answer&Discussion
8	Reading	Linear Equations and Joint Solutions, Zero Profit and Market Equilibrium	Lecture&Question and Answer&Discussion
9	Reading	Matrices and Operations on Matrices, Matrix Inverse and Echelon Form Definitions	Lecture&Question and Answer&Discussion
10	-	MID-TERM EXAM	-
11	Reading	Systems of Linear Equations, Gauss-Jordan Elimination Method	Lecture&Question and Answer&Discussion
12	Reading	Finding the Inverse Matrix	Lecture&Question and Answer&Discussion
13	Reading	Vectors and Vector Operations, Geometric Interpretation of Vector Operations	Lecture&Question and Answer&Discussion
14	Reading	Linear Independence, Determinants, Determinant of 2x2 and 3x3 Type Matrices, Calculation of Determinant with Minors	Lecture&Question and Answer&Discussion
15	Reading	Adjoint Matrix of a Square Matrix, Finding the Inverse of the Matrix with the Adjoint Matrix, Cramer's Rule	Lecture&Question and Answer&Discussion
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
Kline, M. (1999). Calculus : An Intuitive and Physical Approach. New York, United States: Dover Publications Inc.
Morgan, F. (2012). Calculus. Williamstown, Massachusetts: Createspace.
Spivak, M. (2006). Calculus. Cambridge, United Kingdom: Cambrıdge Unıversıty Press, 3rd Edition.

ASSESSMENT
Assessment & Grading of In-Term Activities	Number of Activities	Degree of Contribution (%)	Description	Examination Method

Level of Contribution
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Describe basic theories of microeconomics and macroeconomics by benefiting from assumptions and axioms.			2
2	Recognize the entries in the book and financial balance sheet of the business organization.		1
3	Define concepts, theories and principles of basic and subfields of international trade by adhering to the background knowledge.		1

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Summarize historical development of the international trade theories by adhering to the chronological order.	0
2	Use theoretical knowledge gained in the field of international trade in occupational practices and daily life.				3
3	Solve financial and legal problems confronted in international trade practices.				3

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Relate statistical raw data by benefiting from computer programs and relate data with one another in consideration of theoretical knowledge.	0
2	Evaluate developments in the world in consideration of common courses in the faculty with an intellectual perspective.	0

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Interpret current events and facts in international trade based on advanced knowledge and skills from an analytical and systematic holistic view.	0

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Relate knowledge about economic globalization and internationalization with current knowledge in the field.		1

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Examine current economic policies applied over the gained advanced knowledge and skills by a critical approach.			2

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Explain demands in written or verbally by using the foreign language skill in business and social life effectively.		1
2	Tell knowledge, thoughts and solution offers regarding subjects in international trade to relevant stakeholders demands in written or verbally.		1
3	Design a healthy communication network for themselves in the business world by using social life skills.			2

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Analyze current issues, events and problems by benefiting from theoretical and historical knowledge of international trade and economics.				3
2	Develop suggestions for international trade policies by determining economic problems in the macro level.				3
3	Apply commercial applications in consideration of knowledge gained in financing and management of international trade by being inclusive of international market					4
4	Discuss the effects of commercial and financial globalization processes on the income distribution, by benefiting from data.				3

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)	6	3	18
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	6	10	60
Mid-Term Exam	1	1	1
Preparation for the Mid-Term Exam	3	10	30
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	44	0	178