At the end of this course, the students; 1) learn some basic mathematical concepts and see examples of applications of these concepts. 2) learn methods of computation and develop their skills of computation. 3) get substantial experience to set up mathematical models for real- world problems from their area of interest and solve such problems. 4) who believe that mathematics is a scary subject change this attitude after they complete this course and they gain self-confidence. 5) are convinced by examples of real-world applications that mathematics is really useful. 6) learn the preliminaries and build up their background for mathematical subjects such as statistics that they will study in the following years.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
The main topics of this course are matrices, systems of linear equations, determinants, applications in economics, Leontief input-output analysis, linear inequalities, linear programming, simplex method, minimization and maximization problems, applications in economics, functions of several variables, partial derivatives, maximum-minimum problems, Lagrange's multipliers method, the least squares method.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Systems of linear equations in two variables, matrices.
2nd Week
Systems of linear equations in several variables Gauss-Jordan elimination Method.
3rd Week
Matrix operations. Inverse matrix.
4th Week
Determinants, Leontief input-output analysis.
5th Week
Functions of several variables. Partial derivatives.
6th Week
Maxima and minima.of functions of several variables.
7th Week
Least squares, Lagrange's multipliers method, Applications.
8th Week
Midterm
9th Week
Linear inequalities.
10th Week
Simplex Method: Maksimization with problem constraints of the form .
11th Week
Linear programming.
12th Week
Minimization with problem constraints of the form .
13th Week
Maksimization and minimization with mixed problem constraints, Big M method, Applications.
14th Week
Maksimization and minimization with mixed problem constraints, Big M method, Applications.
RECOMENDED OR REQUIRED READING
a) İnternet: www.baskent.edu.tr/~karakas http://moodle.midas.baskent.edu.tr/course/view.php?id=162
b) Books: Barnett R. A., Zeigler M. R., Byleen K.E. Calculus for Business, Economics, Life Sciences and Social Sciences. Prentice / Hall, New Jersey, 2008. Budnick F. S. Applied Mathematics for Business, Economics and Social Sciences. McGraw Hill, New York, 1993. Adams, R. A. Calculus (A Complete Course). Addison - Wesley, Longman, Toronto, 2003. Tomas G. B., Finney R. L. Calculus and Analytic Geometry. Addison - Wesley Publishing co., Massachutes, 1990. Stewart J. Calculus, Brooks/Cole Publishing co., Pasific Grove, 1995. Edwards C. H. Jr., Penney D. E. Calculus and Analytic Geometry. Prentice/Hall, New Jersey, 1986.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
Lecture,Discussion,Questions/Answers
ASSESSMENT METHODS AND CRITERIA
Quantity
Percentage(%)
Mid-term
1
30
Quiz
6
16
Attendance
1
4
Total(%)
50
Contribution of In-term Studies to Overall Grade(%)
50
Contribution of Final Examination to Overall Grade(%)
50
Total(%)
100
ECTS WORKLOAD
Activities
Number
Hours
Workload
Midterm exam
1
1
1
Preparation for Quiz
6
4
24
Individual or group work
14
4
56
Preparation for Final exam
1
42
42
Course hours
13
3
39
Preparation for Midterm exam
1
21
21
Laboratory (including preparation)
Final exam
1
1,5
1,5
Homework
Total Workload
184,5
Total Workload / 30
6,15
ECTS Credits of the Course
6
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
