COURSE INFORMATION Course Title: MATH. FOR ECONOMICS AND BUSINESS II

Code	Course Type	Regular Semester	Theory	Practice	Lab	Credits	ECTS
BUS 102	A	2	4	0	0	4	5

Academic staff member responsible for the design of the course syllabus (name, surname, academic title/scientific degree, email address and signature)	NA
Lecturer (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	Fatih Mehmet Karakuş
Second Lecturer(s) (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	NA
Teaching Assistant(s) and Office Hours:	NA
Language:	English
Compulsory/Elective:	Compulsory
Classroom and Meeting Time:
Course Description:	Mathematics for Economics and Business II: Limits and Continuity. Average Rate of Change and Slope. Derivatives, Instantaneous Rate of Change, Higher Order Derivatives. Optimization, Concavity of Inflection Points. Maxima and Minima. Revenue, Cost and Profit Applications, Anti Derivatives, Rules of Integration, Differential Equations, Mathematics of Finance, Simple and Compound Interest, Present Value, Effective Interest, Future Value, Annuities.
Course Objectives:	The aim of this course is to give the basic ingredients of mathematics for business and economics. Namely, functions, derivatives and differentials. Moreover, most of the models in economics appear in the form of linear models.

COURSE OUTLINE

Week	Topics
1	Differentiation & Marginal Functions
2	Optimization
3	Elasticity
4	Partial differentiation
5	Partial Elasticity
6	Review: Partial differentiation
7	Midterm
8	Lagrange Multipliers
9	Unconstrained Optimization
10	Constrained Optimization
11	Integration
12	Matrices
13	Differential equations
14	Review: Integration, Matrices, Differential equations

Prerequisite(s):
Textbook:	Ian Jacques, Mathematics for Economics and Business, Printice Hall Inc., Harlow, 2006
Other References:	1-E. F. Haeussler, Jr. and R. S. Paul (1999) Introductory Mathematical Analysis, Perentice-Hall Inc. New Jersey.
Laboratory Work:
Computer Usage:
Others:	No

COURSE LEARNING OUTCOMES

1	Estimate the derivative of a function by measuring the slope of a tangent.
2	Derive the relationship between marginal and average revenue
3	Differentiate complicated functions using a combination of rules.
4	Determine the price elasticity for general linear demand functions.
5	Use the first and the second-order derivative to find maximum and minimum points of a function with one variable.
6	Perform implicit differentiation.
7	Use the first and the second-order derivative to find maximum and minimum points of a function with two variables.
8	Use the method of Lagrange multipliers to solve constrained optimisation problems.
9	Use methods of integration to calculate the consumer’s surplus, producer’s surplus, capital stock formation
10	Use matrix inverses to solve systems of linear equations arising in economics.

COURSE CONTRIBUTION TO... PROGRAM COMPETENCIES (Blank : no contribution, 1: least contribution ... 5: highest contribution)

No	Program Competencies	Cont.
Bachelor in Banking and Finance (3 years) Program
1	The students are gained the ability to look at the problems of daily life from a broader perspective. They gain the needed skills not only to understand economic problems in banking and finance but also to construct a model and defend in meaningful way.	2
2	They have knowledge about the finance and banking.	2
3	They have knowledge about the money and banking.
4	They have knowledge about the international finance and banking.
5	They have ability to use mathematical and statistical methods in banking and finance.	4
6	They know how to use computer programs in both daily office usage and statistical data evaluations in banking and finance department.	1
7	They have necessary banking and finance skills that needed in private and public sector.
8	They are intended to be specialist in one of departmental fields that they choose from the list of general economics, finance economics, public finance, corporate finance, finance management, international finance markets and institutions, banking and central banking, international finance and banking, money and banking, international trade and banking.
9	They have ability to utilize fundamental economic theories and tools to solve economic problems in banking and finance.	3
10	They are aware of the fact that banking and finance is a social science and they respect the social perspectives and social values of the society’s ethics.

COURSE EVALUATION METHOD

Method	Quantity	Percentage
Midterm Exam(s)	1	35
Quiz	2	7.5
Final Exam	1	40
Attendance		10
	Total Percent:	100%

ECTS (ALLOCATED BASED ON STUDENT WORKLOAD)

Activities	Quantity	Duration(Hours)	Total Workload(Hours)
Course Duration (Including the exam week: 16x Total course hours)	16	4	64
Hours for off-the-classroom study (Pre-study, practice)	16	2	32
Mid-terms	1	10	10
Assignments			0
Final examination	1	15	15
Other	4	1	4
Total Work Load:			125
Total Work Load/25(h):			5
ECTS Credit of the Course:			5