This course aims to cover the elementary concepts of mathematics for business, economics, life and social sciences. The topics are integration, applications of integration and multi variable calculus and systems of equations and inequalities.
Calculus, For Business, Economics, and The Social and Life Sciences, Laurence D.Hoffmann Gerald L.Bradley Fourth Edition
Other Sources
1. Kalkülüs, Diferansiyel ve İntegral Hesap, James Stewart
2. Paul, Richard S.-, Shaevel, M.Leonard. Essentials of Technical Mathematics 3. Bernhardt, Grossnickle, Reckzeh.Discovering Structure In Algebra 4. Hockett Sternstein, Second Edition, Applied Calculus 5. İktisatçılar ve İşletmeciler için İktisat ve İşletme Problemlerine Uygulamalı GENEL MATEMATİK, Prof.Dr.İbrahim Doğan, Prof.Dr.Necdet Tekin, DER Yayınları.
Course Schedules
Week
Contents
Learning Methods
1. Week
Review of derivatives and its applications
Theory and Application
2. Week
Antiderivatives and indefinite integrals.
Integration by substitution.
Differential equations: Growth and Decay.
Theory and Application
3. Week
The definite integral.
Fundamental theorem of calculus.
Review Exercises
Theory and Application
4. Week
Area between curves.
Applications in business and economics
Theory and Application
5. Week
Integration by parts
Integration using tables
Review Exercises
Theory and Application
6. Week
Functions of several variables.
Partial derivatives
Maxima and minima
Theory and Application
7. Week
Maxima and minima using Lagrange multipliers
Midterm Review
Theory and Application
8. Week
Midterm Exam
Exam
9. Week
Double integrals over rectangular regions.
Double integrals over more general regions.
Review Exercises
Theory and Application
10. Week
Systems of Equations
Systems of linear Equations in several variables
Systems of linear Equations: Matrices
Theory and Application
11. Week
The algebra of matrices
Inverses of matrices and matrix equations
Theory and Application
12. Week
Determinants and Cramer’s rule
Systems of inequalities
Review Exercises
Theory and Application
13. Week
Final Exam Review
Theory and Application
14. Week
Final Exam Review
Theory and Application
15. Week
Final Exam
Exam
16. Week
17. Week
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Final Exam
1
60
Program Outcomes
PO-1
Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science.
PO-2
Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science.
PO-3
Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence.
PO-4
Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline.
PO-5
Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science.
PO-6
Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish.
PO-7
Using time effectively in inventing solutions by implementing analytical thinking.
PO-8
Understanding professional ethics and responsibilities.
PO-9
Having the ability to behave independently, to take initiative, and to be creative.
PO-10
Understanding the importance of lifelong learning and developing professional skills continuously.
PO-11
Using professional knowledge for the benefit of the society.
Learning Outcomes
LO-1
1. To have a complete review of main terms and methods of manipulative mathematics
LO-2
2. To be able to apply mathemetics skills in administrative areas
LO-3
3. To be able to think analytic
LO-4
4. To be able to understand the numbers in business life and to make some comments about the numbers
