ECO1162 Mathematics for Social Sciences II Bahçeşehir UniversityDegree Programs BUSINESS ADMINISTRATIONGeneral Information For StudentsDiploma SupplementErasmus Policy StatementNational QualificationsBologna Commission
BUSINESS ADMINISTRATION
Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
ECO1162 Mathematics for Social Sciences II Spring 3 0 3 8

Basic information

Language of instruction: English
Type of course: Must Course
Course Level: Bachelor’s Degree (First Cycle)
Mode of Delivery: Hybrid
Course Coordinator : Assist. Prof. DİMİTAR ASENOV SIMEONOV
Course Lecturer(s): Assist. Prof. DİMİTAR ASENOV SIMEONOV
Assoc. Prof. DEREN ÜNALMIŞ
Instructor BURAK DOĞAN
Recommended Optional Program Components: None
Course Objectives: The objective of this class is to provide a mathematical foundation to students; to extend students’ knowledge and skills in mathematics and to prepare them for more advanced studies in mathematics. Throughout this course, students will be introduced to the various subjects including limits, differentiation, integration, multivariable calculus and applications.

Learning Outcomes

The students who have succeeded in this course;
1. Enhance their mathematical knowledge and skills and prepare themselves for more advanced mathematics studies
2. Apply limits and continuity
3. Define a derivative, apply differentiation rules
4. Understand the concept of marginal revenue, marginal cost, marginal propensity to consume; analyze the economic concept of elasticity.
5. Sketch the curves; model situations involving maximizing and minimizing a quantity and solve them.
6. Identify and evaluate functions of two or more independent variables; solve problems involving Lagrange multipliers.
7. Define the antiderivatives and the indefinite integral; apply basic integration formulas; and evaluate definite integrals.

Course Content

Course content includes the following topics: limit, continuity, differentiation and integration. The basic philosophy of the course is first to introduce the topics and then practice on them. The course is designed such that students taking this course will have the necessary mathematical equipment and use quantitative research methods.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Introduction Syllabus Review
2) Limits and Continuity Limits
3) Limits and Continuity Continuity Continuity applied to Inequalities
4) Differentiation (CH 11) The derivative Rules for differentiation
5) Differentiation (CH 11) Derivative as a rate of change Product rule, quotient rule, chain rule
6) Additional Differentiation Topics (CH 12) Derivatives of logarithmic functions Derivatives of exponential functions Elasticity of demand
7) Additional Differentiation Topics (CH 12) Implicit differentiation Logarithmic differentiation Higher order derivatives
8) Midterm Exam
9) Curve Sketching (CH 13) Relative extrema, absolute extrema Absolute extrema on a closed interval Concavity
10) Curve Sketching (CH 13) First-derivative test, second-derivative test Asymptotes Applied maxima and minima
11) Integration (CH 14) Differentials Indefinite integrals Integration with initial conditions More integration formulas
12) Integration (CH 14) Techniques of integration The definite integral Fundamental theorem of integral calculus Area between curves Consumer’s and producer’s surplus
13) Multivariable Calculus (CH 17) Partial Derivatives Applications of partial derivatives Implicit partial derivatives
14) Multivariable Calculus (CH 17) Higher order partial derivatives Maxima and minima for functions of two variables Lagrange multipliers

Sources

Course Notes / Textbooks: Main Textbook: Introductory Mathematical Analysis, by Ernest F. Haeussler, Richard S. Paul, Richard J. Wood 13th ed. or 14th ed.
References: · Ventre, A. G. S. (2021). Calculus and Linear Algebra: Fundamentals and Applications, 1st edition.
· Larson, R., & Edwards, B. H. (2022). Calculus, 12th edition.
· Hass, J. R., Heil, C. E., & Weir, M. D. (2018). Thomas’ Calculus, 14th edition.

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Homework Assignments 1 % 20
Midterms 1 % 40
Final 1 % 40
Total % 100
PERCENTAGE OF SEMESTER WORK % 60
PERCENTAGE OF FINAL WORK % 40
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Study Hours Out of Class 14 3 42
Quizzes 2 40 80
Final 1 26 26
Total Workload 190

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) Being able to identify problems and ask right questions 2
2) Having problem solving skills and developing necessary analytical attitude 5
3) Comprehending theoretical arguments along with counter arguments in detail 5
4) Gaining awareness of lifelong learning and being qualified for pursuing graduate education 3
5) Applying theoretical concepts in project planning 1
6) Communicating efficiently by accepting differences and carrying out compatible teamwork
7) Increasing efficiency rate in business environment
8) Developing innovative and creative solutions in face of uncertainty 2
9) Researching to gather information for understanding current threats and opportunities in business
10) Being aware of the effects of globalization on society and business while deciding
11) Possessing digital competence and utilizing necessary technology
12) Communicating in at least one foreign language in academic and daily life
13) Possessing managing skills and competence
14) Deciding with the awareness of the legal and ethical consequences of business operations
15) Expressing opinions that are built through critical thinking process in business and academic environment 1