Information Package / Course Catalogue
Business Mathematics - II
Course Code: ISL108
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 4
Objectives of the Course

The aim of this course is to develop quantitative abilities and analytical thinking skills of the business students. Firms consistently face decision making problems. Mathematical methods are used to evaluate different alternatives. In order that these methods can be utilized and facilitate decision-making essential mathematical knowledge and skills are required. With the purpose offinding solutions to the problems in the business in mind, the course focuses on functions, integrals and linear equations solved by algebra. After the overview of the functions consisting of decision variables were presented, examples applied in the business area would be conveyed to students. Briefly, the course aims to develop quantitative skills and abilities of the students and apply this knowledge to business decesion making and various problem areas.

Course Content

The concept of integral, integral features, variable cxhange method (substitution), partial integration, indefinite integral and its applications, definite integral and area calculation, producer surplus and consumer surplus, Matrices, in matrix expression of equations, solving equation systems by using Gauss method, determinants rules, Sarus rule, Cramer's equation with the Rules The solution of the system, business applications of matrices and determinants.

Name of Lecturer(s)
Prof. Hüseyin ŞENKAYAS
Learning Outcomes
1.Solves matrices and linear equation systems.
2.Explains the concepts of limits, derivatives, and integrals.
3.Solves optimization problems (maximization/minimization).
4.Applies derivative-based analyses in business decisions.
5.Constructs mathematical models for financial and economic analysis.
6.Interprets numerical analyses and develops recommendations based on outcomes.
Recommended or Required Reading
1.Dowling, Edward. T., İşletme ve İstatistik İçin Matematiksel Yöntemler, Çev. Ö. F. Çolak, M. Yıldırımoğlu, Schaum’s Outlines, Nobel Yayın Dağıtım.
2.Ertuğrul İrfan, Temel Matematik Ekin Yayınları.
3.Hamdy A., Yöneylem Araştırması, Literatür Yayınları.
Weekly Detailed Course Contents
Week 1 - Theoretical
Science, mathematics and analytical thinking in terms of operational significance, the use of decision-making problems, the basic concepts of mathematics
Week 2 - Theoretical
Matrices, systems of equations described in matrix expression
Week 3 - Theoretical
Solution of systems of equations by Gauss method
Week 4 - Theoretical
Determinant rules, Sarus rule
Week 5 - Theoretical
Cramer's rule, solution of systems of equations
Week 6 - Theoretical
Matrices and determinants operating practices
Week 7 - Theoretical
The concept of integral, principles of integral
Week 8 - Theoretical
Change of variables (substitution)
Week 9 - Theoretical
Integration by Parts
Week 10 - Theoretical
Indefinite integral and its applications
Week 11 - Theoretical
Definite integral and area calculation
Week 12 - Theoretical
Integral in the enterprise applications, the marginal profit function
Week 13 - Theoretical
Producer surplus and consumer surplus
Week 14 - Theoretical
Discussion, problem solving for the final exam
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140349
Midterm Examination120121
Final Examination130131
TOTAL WORKLOAD (hours)101
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
OÇ-1
4
4
4
3
3
2
1
2
2
2
OÇ-2
4
5
4
3
3
2
1
2
3
2
OÇ-3
4
5
4
3
3
2
1
3
4
3
OÇ-4
4
5
4
4
3
3
1
3
4
3
OÇ-5
4
5
5
4
4
3
1
4
4
4
OÇ-6
4
5
5
4
4
4
1
4
5
4
Adnan Menderes University - Information Package / Course Catalogue
2026