BUSINESS ADMINISTRATION | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
ECO1162 | Mathematics for Social Sciences II | Spring | 3 | 0 | 3 | 8 |
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. |
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 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. |
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 |
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. |
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 |
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 |
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 |