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Course Description |
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Course Name |
: |
Mathematics 2 |
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Course Code |
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EAS106 |
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Course Type |
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Compulsory |
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Level of Course |
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First Cycle |
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Year of Study |
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1 |
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Course Semester |
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Spring (16 Weeks) |
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ECTS |
: |
5 |
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Name of Lecturer(s) |
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Asst.Prof.Dr. ERSİN KIRAL Assoc.Prof.Dr. S.BİLGİN KILIÇ |
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Learning Outcomes of the Course |
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Create and solve mathematical models of economic problems encountered in the field of business.
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Mode of Delivery |
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Face-to-Face |
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Prerequisites and Co-Prerequisites |
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None |
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Recommended Optional Programme Components |
: |
None |
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Aim(s) of Course |
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The aim of Mathematics II is to provide students with knowledge of basic Mathematics. In addition, teach students to create and solve problems confronted with in the field of business administration, economics and social sciences. |
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Course Contents |
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Anti-derivatives and (primitive) Indefinite Integral Variable Replacement Method, Differential Equations, Growth and Downsizing, Definite Integral, Calculus (Calculus) Fundamental Theorem, Problems of Economics and Business, Area Between Two Curves, Business and Economics Applications, Partial (Partially ) Integration Method, two or more variables, partial derivatives, differentials, chain rule, the maximum and minimum functions of two variables, Lagrange Multipliers, Business and Economics Applications, Matrix Definition, Matrix Algebra Operations, Special Matrices, Determinants, Matrices and Linear Equations , the Solution of Linear Systems of Equations Cramer´s rule. |
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Language of Instruction |
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Turkish |
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Work Place |
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Classroom |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Integral
Anti-derivatives and (primitive) Indefinite Integral
Method of Changing variable
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Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
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2 |
Differential Equations: Growth and Downsizing |
Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
|
3 |
Definite Integral
Calculus Fundamental Theorem
Problem of Business and Economics
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Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
|
4 |
Area Between Two Curves
Applications in Business and Economics
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Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
|
5 |
Partial (Partly) Integration Method
Applications in Business and Economics
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Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
|
6 |
FUNCTIONS OF SEVERAL VARIABLES AND PARTIAL DERIVATIVES
Two or More Functions of Several Variables
Partial Derivatives
Applications in Business and Economics
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Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
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7 |
Common Problems and Applications |
Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
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8 |
mid-term |
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9 |
Differentials
Chain Rule
Applications in Business and Economics
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Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
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10 |
Maximum and Minimum of Functions of Two Variables
Applications in Business and Economics
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Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
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11 |
Lagrange Multipliers
Applications in Business and Economics
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Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
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12 |
MATRICES AND DETERMINANTS
Definition of Matrices, Matrix Algebra Operations, Special Matrices
Determinant
Applications in Business and Economics
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Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
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13 |
Matrices and Linear Equations
Applications in Business and Economics
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Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
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14 |
Solving Systems of Linear Equations by Cramer´s Rule
Applications in Business and Economics
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Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
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15 |
Common Problems and Applications |
Students will be prepared by studying relevant subjects from source books according to weekly program |
lecture, problem solving |
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16/17 |
final |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
Haeussler, E. R., Paul, R. S., Introductory Mathematical Analysis- For Business, Economics and the life and Social Sciences, Prentice-Hall, 1996
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
80 |
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Homeworks/Projects/Others |
10 |
20 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Explain the importance of demand and supply in economy science and the well-running conditions of the market economy |
4 |
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2 |
Define the role of pricing within the event advantage of the market economy. |
3 |
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3 |
Define the role of the state in economy, money and financial policies, the central bank and the structure of the market. |
2 |
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4 |
Perceive the costs and benefits arising from the global economy |
3 |
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5 |
Produce numerical and policy options when confronted with problems. |
4 |
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6 |
Use quantitative and qualitative techniques of model building, decoding and interpretation. |
4 |
|
7 |
Use the theory of economics in the analysis of economic events. |
4 |
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8 |
Use computer programs, do synthesis and present prepared data efficiently. |
1 |
|
9 |
Apply the methods of economic analysis. |
4 |
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10 |
Analyze at conceptual level and acquires ability in comparing, interpreting, evaluating and synthesizing in order to develop solutions to problems |
4 |
|
11 |
Take responsibility individually and / or in a team, take leadership and work effectively. |
4 |
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12 |
Follow innovative developments in the field being aware of the necessity of lifelong learning and improving him-/herself.. |
4 |
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13 |
Use of different sources about an unfamiliar field within academic principles, synthesize gained data and presents effectively. |
4 |
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14 |
Use Turkish and at least one foreign language in accordance with the requirements of academic and work life. |
5 |
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15 |
Understand and interpret related people´s feelings, thoughts, and behaviours correctly; expresse him-/herself accurately in written and oral language. |
5 |
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16 |
Question traditional attitudes, applications and methods, develop and apply new methods when needed. |
5 |
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17 |
Recognize and apply social, scientific and professional ethical values. |
5 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
3 |
42 |
| Assesment Related Works |
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Homeworks, Projects, Others |
10 |
3 |
30 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
3 |
3 |
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Final Exam |
1 |
3 |
3 |
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Total Workload: | 120 |
| Total Workload / 25 (h): | 4.8 |
| ECTS Credit: | 5 |
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