ÇAĞ UNIVERSITY
FACULTY OF ECONOMICS AND ADMINISTRATIVE SCIENCES
Learning Outcomes of the Course
Code
Course Title
Credit
ECTS
MAT 108
Mathematics for Business & Economics II
3 (3-0)
5
Prerequisites
None
Language of Instruction
Mode of Delivery
Face to face
English
Type and Level of Course
Compulsory/1.Year/Spring Semester EQF- Level 6
Lecturers
Name(s)
Contacts
Lecture Hours
Office Hours
Course Coordinator Prof Dr.H.Altan CABUK
haltan@cu.edu.tr
Thursday 13-16
Thursday 11-13
Others
Course Objective
This introductory course provides a mathematical foundation, including calculus, for
students enrolled in management, international trade, international finance and
international logistics. It introduces topics which the student may encounter in later
courses in his or her major field of study.
Relationship
Students who have completed the course successfully should
be able to
Prog. Output
Net Effect
4,5,5
1
Be able to define the indefinite integral and know the basic
3,5,7
integration formulas.
4,5,5
2
Be able to apply the techniques of integration to a given integral
3,5,7
problem. Integration by substitution, integration by parts and
integration by partial fractions.
4,5,5
3
Be able to find the total function from the marginal function. Be
3,5,7
able to find the the area of a region using definite integral. Be
able to determine convergent or divergent improper integrals.
4,5,5
4
Be able to determine the value of producers’ or consumers’
3,5,7
surplus
4,5,5
5
Be able to draw the graphs of functions of two variables in a
3,5,7
three dimentional rectangular coordinate system. Be able to find
partial derivatives and solve partial derivative applications
4,5,5
6
Be able to find relative maxima and minima for a function under
3,5,7
certain restrictions or constraints.
4,5,5
7
Be able to know matrix operations and determinants.
3,5,7
4,5,5
8
Be able to solve problems related to input-output analysis.
3,5,7
4,5,5
9
Be able to solve problems related to linear programming.
3,5,7
Course Description: This course will include Integration , methods and applications of inegration, multivariable
calculus, matrix algebra, input-output analysis and linear programming as main topics.
Course Contents:( Weekly Lecture Plan )
Weeks
Topics
Preparation
Teaching Methods
1
Lectures
Integration and the indefinite integral,
Textbook Ch. 16
integration with initial conditions
2
Lectures
More integration formulas
Textbook Ch. 16
3
Lectures
Techniques of integration, The definite
Textbook Ch. 16
integral
4
Lectures
The fundemantal theorem of integral calculus,
Textbook Ch. 16
Area
5
Lectures
Consumers’ and producers’ surplus,
Textbook Ch. 16-17
integration by parts and tables
6
Lectures
Average value of a function, approximate
Textbook Ch. 17
integration, differantial equations
7
Exercises
Problem Solutions
8
Lectures
Functions of several variables, partial
Textbook Ch.19
derivatives, chain rule
9
Lectures
Maxima and minima for functions of two
Textbook Ch.19
variables, Lagrange multipliers, multiple
integrals
10
Lectures
Matrices, Matrix addition and scalar
Textbook Ch.6
multiplication, Method of reduction
11
Lectures
Inverses, Determinants, Cramer’s Rule
Textbook Ch.6
12
Lectures
Input-output analysis
Textbook Ch. 6
13
Lectures
Linear programming
Textbook Ch. 7
14
Exercises
Problem Solutions
REFERENCES
Textbook
Haeussler,Ernest F., Paul Richard S.,;Introductory Mathematical Analysis for
Business, Economics and The Life and The Social Sciences./8e Prentice-Hall
ISBN-13: 2345439
http://online.math.uh.edu/Math1314
Related links
Recommended Reading
Budnick, Frank S.,; Applied Mathematics for Business, Economics and The Social
Sciences/4e. McGraw-Hill
Sydsaeter,Knut; Hammond, Peter J.; Mathematics for Economics Analysis, Prentice
Hall International Editions
Material Sharing
Activities
Midterm Exam
Quizzes
Homework
Effect of The Activities
Effect of The Final Exam
Number
1
0
0
0
1
ASSESSMENT METHODS
Effect
40%
Notes
60%
ECTS TABLE
Number
14
14
0
0
0
1
1
Contents
Hours in Classroom
Hours out Classroom
Homeworks
Implementation
Quizzes
Midterm Exam
Final Exam
Hours
3
3
0
0
0
25
30
Total
42
42
0
0
0
25
30
139
=139/30=4,63
5
Total
Total / 30
ECTS Credit
RECENT PERFORMANCE
20
2011-2012 SECOND SEMESTR
MAT 108 Mathematics for Business &
Economics II
17
15
11
10
5
10
20
2012-2013 SECOND SEMESTR
MAT 108 Mathematics for Business &
Economics II
17
15
8
8
9
4
3
5
0
0
11
10
5
10
8
8
9
4
3
5
0
0
NA FF FD DD DC CC CB BB BA AA
NA FF FD DD DC CC CB BB BA AA