Course Details

Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
3MATH112BUSINESS MATHEMATICS II4+0+05613.05.2025

 
Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program POLITICAL SCIENCE AND INTERNATIONAL RELATIONS
Type of Program Formal Education
Type of Course Unit Elective
Course Delivery Method Face To Face
Objectives of the Course This course aims to teach briefly the integral part of single/ multi variable(s) Calculus by using Business cases related studies and applications with the help of
- Providing fundamental knowledge and skills to analyze the behavior of a single/multi variable functions in basic aspects via Business applications.
-Constructing theoretical and conceptual understanding of essential mathematical tools to study single/multivariable calculus.
- Developing the ability of using the notions and tools of basic mathematics to recognize and analyze a problem deduced from real life/nature and offering solutions to these problems by applying relevant computation and analysis techniques regarding Business and Management.
Course Content This course is an introduction to single/multi variable and multivariate calculus for Business and Management students and covers the fundamentals of differentiation and integration concepts related to single variable and multivariate calculus. In this context, integrating functions for single and multivariate calculus are being taught with optimization technique like Lagrange Multipliers method also basic Statistical data driven concepts will be coved with the usage of Exel computer applications. By the end of the semester, the students will be able to demonstrate an understanding of a single/multivariate calculus in every aspect of Business and Management fields by using the scientific skills gained during semester.
Course Methods and Techniques This course is mainly designed as face-to-face in-class type of teaching with the help of CANVAS, and for some special cases, for synchronous sessions, Zoom will be used. We will be using various tools for active learning activities.
This is also a student-driven course. It is your responsibility to participate actively in class discussions. You are not graded on whether you agree or disagree with the instructor or with each other. Class participation which will be based on your ability to rise and answer important issues, to contribute ideas or insights, to build upon the ideas of others, ask questions to presenters, etc is very important for your individual development.
By actively participating in the class discussions, you can sharpen your insights, and those of your classmates.
Prerequisites and co-requisities ( MATH111 )
Course Coordinator None
Name of Lecturers Associate Prof.Dr. Mehmet Tarık Atay https://avesis.agu.edu.tr/mehmettarik.atay mehmettarik.atay@agu.edu.tr
Associate Prof.Dr. Ali Hakan Tor hakan.tor@agu.edu.tr
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Barnett Calculus for Bus, Econ, Life Sciences & Social Scie 14e
Course Notes Lecture notes will be distributed during the semester week by week.
Documents Lecture notes

Course Category
Mathematics and Basic Sciences %70
Field %30

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Yarıyıl İçi Çalışmalarının Başarı Notunun Katkısı 1 % 40
Ödev 1 % 20
Sunum/Seminer 1 % 10
Final examination 1 % 30
Total
4
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Araştırma Ödevi 1 30 30
Yazılı Sınav 1 50 50
Grup Projesi 1 30 30
Final Sınavı 1 70 70
Total Work Load   Number of ECTS Credits 6 180

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 recognize some mathematical concepts which they need in their academic life
2 identify the need for applications of mathematical methods to global challenges in business, economy and social sciences
3 apply numerical skill on these applications
4 learn how to apply the studied mathematical methods to real-life business and economic problems

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 First Meeting, Introduce the course 5.1 Antiderivatives and Indefinite Integral 5.2 Integration by Substitution
2 5.3 Differential Equations; Growth and Decay Continuous Compound Interest (Revisited)
3 5.4 The Definite Integral 5.5 The Fundamental Theorem of Calculus
4 5.6 Area Between Curves Applications: Income Distribution, Gini Index
5 6.1 Integration by Parts
6 6.2 Other Integration Methods Using a Table of Integrals, Substitution and Integral Tables, Reduction Formulas
7 6.3 Applications in Business and Economics Probability Density Functions, Continuous Income Stream, Future Value of a Continuous Income Stream, Consumers’ and Producers’ Surplus
8 6.4 Integration of Trigonometric Functions Application
9 7.1 Functions of Several Variables 7.2 Partial Derivatives
10 7.3 Maxima and Minima
11 7.4 Maxima and Minima Using Lagrange Multipliers
12 7.5 Method of Least Squares Least Squares Approximation and Applications
13 7.6 Double Integrals over Rectangular Regions
14 7.7 Double Integrals over More General Regions

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12
C1 4 3 2
C2 4 4 1
C3 4 4 1
C4 4 4 1

  Contribution: 1: Very Slight 2:Slight 3:Moderate 4:Significant 5:Very Significant

  
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