| Course Objectives: |
The objective of this course is to equip students with fundamental mathematical knowledge, including the basic concepts of limits and differential calculus methods related to functions, and the ability to sketch the graphs of some essential functions. Furthermore, the course aims to provide students with the necessary mathematical background for subsequent courses such as Microeconomics and Operations Research. |
| Course Content: |
This course covers the concepts of limits and continuity, derivatives and differentiation rules, derivatives of logarithmic and exponential functions, implicit and logarithmic differentiation, local maxima and minima, concavity analysis, curve sketching, L’Hôpital’s rule, optimization, antiderivatives and integration techniques, change of variables, integration by parts and partial fractions, area calculations between curves, and the fundamental concepts of multivariable functions. |
Course Learning Outcomes (CLOs) are those describing the knowledge, skills and competencies that students are expected to achieve upon successful completion of the course. In this context, Course Learning Outcomes defined for this course unit are as follows:
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| Knowledge
(Described as Theoritical and/or Factual Knowledge.)
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1) Can explain the concepts of limit and continuity and perform limit calculations for different types of functions.
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| Skills
(Describe as Cognitive and/or Practical Skills.)
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1) Can calculate the derivatives of power, product, quotient, exponential, and logarithmic functions using the concept of derivatives and apply the chain rule.
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2) Implicit differentiation and logarithmic differentiation methods to obtain the derivatives of complex functions
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3) Can determine the local maximum and minimum points of a function and perform curve sketching by analyzing its concavity and convexity properties.
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4) Can solve area calculations between curves and application problems using indefinite integrals and basic integration techniques (such as substitution and integration by parts), and can interpret the fundamental properties of multivariable functions.
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5) Can apply partial differentiation techniques for functions of multiple variables and use these methods to interpret marginal analysis problems in the fields of business and economics.
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| Competences
(Described as "Ability of the learner to apply knowledge and skills autonomously with responsibility", "Learning to learn"," Communication and social" and "Field specific" competences.)
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1) Can solve optimization problems using L`Hospital`s Rule and the concept of derivatives, and can construct mathematical models for economic and applied problems.
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| Week |
Subject |
Materials Sharing * |
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Related Preparation |
Further Study |
| 1) |
Limits and Continuity |
Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
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| 2) |
Limits and Continuity |
Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
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| 3) |
Derivative, Derivative of Power, Derivative of Product and Division |
Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
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| 4) |
Derivatives of Logarithmic and Exponential Functions and the Chain Rule |
Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
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| 5) |
Implicit Differentiation and Logarithmic Differentiation |
Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
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| 6) |
Local Maximum–Minimum and Curvature (Inward/Outward Orientation) |
Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
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| 7) |
Curve Drawing |
Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
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| 8) |
Midterm Exam |
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| 9) |
L'Hospital's Rule and Optimization |
Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
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| 10) |
Antiderivatives and Indefinite Integrals, Integration Techniques |
Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
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| 11) |
Transformation of Variables and Integration with Rational Fractions |
Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
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| 12) |
Partial Integration |
Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
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| 13) |
Area Between Curves and Its Applications |
Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
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| 14) |
Functions of More Than One Variable |
Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood.
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| Course Notes / Textbooks: |
Çeşitli kitaplar ve makaleler.
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| References: |
1."Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107.
2.“Calculus for Business, Economics, Life Sciences, and Social Sciences” 13th Edition by R.A. Barnett, M.R. Ziegler, K.E. Byleen, Prentice Hall,2014.ISBN-13:978-0321869838.
3.Genel Matematik I: İşletme ve İktisat İçin, Mehmet Pekkaya.
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Programme Learning Outcomes |
Contribution Level (from 1 to 5) |
| 1) |
Can explain the fundamental concepts, theories, and models of public relations and advertising. |
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| 2) |
Can define ethical rules, legal regulations, and professional standards in the field of public relations, communication and advertising. |
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| 3) |
Can analyze the social, cultural, economic, and political contexts of public relations, media and advertising. |
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| 4) |
Can develop public relations and advertising campaigns through target audience analysis. |
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| 5) |
Can create innovative communication solutions using traditional and digital media tools. |
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| 6) |
Can evaluate public relations and advertising strategies by conducting effectiveness analysis. |
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| 7) |
Can take responsibility in public relations and advertising projects both individually and in team settings. |
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| 8) |
Can utilize leadership and decision-making skills when determining public relations and advertising strategies. |
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| 9) |
Can follow new trends and technological developments in public relations and advertising. |
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| 10) |
Can generate knowledge in the field of public relations and advertising by using research and analytical skills. |
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| 11) |
Can act in accordance with ethical and social responsibility principles in public relations and advertising. |
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| 12) |
Can plan and implement crisis management, reputation management, and brand management processes. |
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| 13) |
Can establish effective verbal and written communication in public relations and advertising processes. |
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| 14) |
Can develop professional relationships in multicultural and global communication contexts. |
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| 15) |
Can develop digital strategies in public relations and advertising using new media tools. |
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| WORKLOAD OF TEACHING & LEARNING ACTIVITIES |
| Teaching & Learning Activities |
# of Activities per semester |
Duration (hour) |
Total Workload |
| Course |
14 |
3 |
42 |
| Laboratory |
0 |
0 |
0 |
| Application |
0 |
0 |
0 |
| Special Course Internship (Work Placement) |
0 |
0 |
0 |
| Field Work |
0 |
0 |
0 |
| Study Hours Out of Class |
14 |
1.5 |
21 |
| Presentations / Seminar |
0 |
0 |
0 |
| Project |
0 |
0 |
0 |
| Homework Assignments |
0 |
0 |
0 |
| Total Workload of Teaching & Learning Activities |
- |
- |
63 |
| WORKLOAD OF ASSESMENT & EVALUATION ACTIVITIES |
| Assesment & Evaluation Activities |
# of Activities per semester |
Duration (hour) |
Total Workload |
| Quizzes |
1 |
16 |
16 |
| Midterms |
1 |
30 |
30 |
| Semester Final Exam |
1 |
44 |
44 |
| Total Workload of Assesment & Evaluation Activities |
- |
- |
90 |
| TOTAL WORKLOAD (Teaching & Learning + Assesment & Evaluation Activities) |
153 |
| ECTS CREDITS OF THE COURSE (Total Workload/25.5 h) |
6 |