EKMZ104 Mathematics II

6 ECTS - 3-0 Duration (T+A)- 2. Semester- 3 National Credit

Information

Unit FACULTY OF ECONOMICS AND ADMINISTRATIVE SCIENCES
ECONOMICS PR.
Code EKMZ104
Name Mathematics II
Term 2024-2025 Academic Year
Semester 2. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Label BS Basic Science Courses C Compulsory
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. HASAN ALTAN ÇABUK
Course Instructor Doç. Dr. ERSİN KIRAL (Bahar) (A Group) (Ins. in Charge)


Course Goal / Objective

The aim is provide to fundamental mathematical knowledge. In addition, it aims to provide experience in formulating and solving problems that may be encountered in business, economics, and social sciences.

Course Content

The course content covers the concepts of antiderivative and indefinite integral, examining the method of substitution and differential equations. The concept of definite integrals is explained through growth and decay problems, and applications related to business and economics are explored using the fundamental theorem of calculus. The calculation of the area between two curves and the solution of various problems using the method of partial integration are discussed. Within the scope of functions of two or more variables, partial derivatives, differentials, and the chain rule are examined, focusing on maximum and minimum problems in two-variable functions and the Lagrange multipliers method.

Course Precondition

There are no course prerequisites.

Resources

Barnett, M. A., Ziegler, M. R., & Byleen, K. E. (2015). Calculus for Business, Economics, Life Sciences, and Social Sciences (13th ed., A. Sabuncuoğlu, Trans.). Pearson Education.

Notes

Haeussler, E. F., & Paul, R. S. (2012). Introductory mathematical analysis for business, economics, life sciences, and social sciences (13th ed.). Pearson.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Creates mathematical model of economics problems encountered in business area.
LO02 Formulates the economic problem.
LO03 Solves the economic problem.
LO04 Analyzs the ekonomik problem.
LO05 Interprets the obtaining solutions.
LO06 Analytical thinking and problem solving solutions.
LO07 Analyzes problems using definite and indefinite integrals.
LO08 Applies the differential chain rule.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Explain the importance of demand and supply in economy science and the well-running conditions of the market economy 4
PLO02 Bilgi - Kuramsal, Olgusal Define the role of pricing within the event advantage of the market economy. 5
PLO03 Bilgi - Kuramsal, Olgusal Define the role of the state in economy, money and financial policies, the central bank and the structure of the market.
PLO04 Bilgi - Kuramsal, Olgusal Perceive the costs and benefits arising from the global economy
PLO05 Bilgi - Kuramsal, Olgusal Produce numerical and policy options when confronted with problems.
PLO06 Bilgi - Kuramsal, Olgusal Use quantitative and qualitative techniques of model building, decoding and interpretation. 3
PLO07 Beceriler - Bilişsel, Uygulamalı Use the theory of economics in the analysis of economic events. 2
PLO08 Beceriler - Bilişsel, Uygulamalı Use computer programs, do synthesis and present prepared data efficiently.
PLO09 Beceriler - Bilişsel, Uygulamalı Apply the methods of economic analysis.
PLO10 Bilgi - Kuramsal, Olgusal Analyze at conceptual level and acquires ability in comparing, interpreting, evaluating and synthesizing in order to develop solutions to problems 4
PLO11 Beceriler - Bilişsel, Uygulamalı Use of different sources about an unfamiliar field within academic principles, synthesize gained data and presents effectively. 3
PLO12 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Take responsibility individually and / or in a team, take leadership and work effectively.
PLO13 Yetkinlikler - Öğrenme Yetkinliği Follow innovative developments in the field being aware of the necessity of lifelong learning and improving him-/herself..
PLO14 Yetkinlikler - İletişim ve Sosyal Yetkinlik Use Turkish and at least one foreign language in accordance with the requirements of academic and work life.
PLO15 Yetkinlikler - İletişim ve Sosyal Yetkinlik Understand and interpret related people´s feelings, thoughts, and behaviours correctly; expresse him-/herself accurately in written and oral language. 3
PLO16 Yetkinlikler - Alana Özgü Yetkinlik Question traditional approaches, practices and methods. 4
PLO17 Yetkinlikler - Alana Özgü Yetkinlik Recognize and apply social, scientific and professional ethical values. 2


Week Plan

Week Topic Preparation Methods
1 Integral Anti-derivatives and (primitive) Indefinite Integral Method of Changing variable Reading Öğretim Yöntemleri:
Anlatım, Problem Çözme
2 Differential Equations: Growth and Downsizing Reading Öğretim Yöntemleri:
Anlatım, Problem Çözme
3 Definite Integral Calculus Fundamental Theorem Problem of Business and Economics Reading Öğretim Yöntemleri:
Anlatım, Problem Çözme
4 Area Between Two Curves Applications in Business and Economics Reading Öğretim Yöntemleri:
Problem Çözme, Anlatım
5 Partial (Partly) Integration Method Applications in Business and Economics Reading Öğretim Yöntemleri:
Anlatım, Problem Çözme
6 FUNCTIONS OF SEVERAL VARIABLES AND PARTIAL DERIVATIVES Two or More Functions of Several Variables Partial Derivatives Applications in Business and Economics Reading Öğretim Yöntemleri:
Anlatım, Problem Çözme
7 Common Problems Solving and Applications Reading Öğretim Yöntemleri:
Anlatım, Problem Çözme
8 Mid-Term Exam Mid-Term Exam Ölçme Yöntemleri:
Yazılı Sınav
9 Differentials Chain Rule Applications in Business and Economics Reading Öğretim Yöntemleri:
Anlatım, Problem Çözme
10 Maximum and Minimum of Functions of Two Variables Applications in Business and Economics Reading Öğretim Yöntemleri:
Anlatım, Problem Çözme
11 Lagrange Multipliers Applications in Business and Economics Reading Öğretim Yöntemleri:
Anlatım, Problem Çözme
12 MATRICES AND DETERMINANTS Definition of Matrices, Matrix Algebra Operations, Special Matrices Determinant Applications in Business and Economics Reading Öğretim Yöntemleri:
Anlatım, Problem Çözme
13 Matrices and Linear Equations Applications in Business and Economics Reading Öğretim Yöntemleri:
Anlatım, Problem Çözme
14 Solving Systems of Linear Equations by Cramers Rule Applications in Business and Economics Reading Öğretim Yöntemleri:
Anlatım, Problem Çözme
15 Common Problems and Applications Reading Öğretim Yöntemleri:
Anlatım, Problem Çözme
16 Term Exams Term Exams Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Term Exams Ölçme Yöntemleri:
Yazılı Sınav


Assessment (Exam) Methods and Criteria

Current term shares have not yet been determined. Shares of the previous term are shown.
Assessment Type Midterm / Year Impact End of Term / End of Year Impact
1. Midterm Exam 100 40
General Assessment
Midterm / Year Total 100 40
1. Final Exam - 60
Grand Total - 100


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 5 70
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 157
Total Workload / 25 (h) 6,28
ECTS 6 ECTS

Update Time: 08.03.2025 03:02