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Course Description |
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Course Name |
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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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Prof.Dr. HASAN ALTAN ÇABUK Asst.Prof.Dr. ERSİN KIRAL |
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Learning Outcomes of the Course |
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Creates and solves mathematical model of economics problems encountered in business area. Defines and formulates the problem. Interprets by analyzing the results obtained from the solutions.
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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. İ. İ. B. F. to provide students with knowledge of basic mathematics. In addition, business administration, economics and social sciences for the solution of problems encountered in the creation and gain experience. |
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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 |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, 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 |
Direct expression, problem solving |
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3 |
Definite Integral
Calculus Fundamental Theorem
Problem of Business and Economics |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
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4 |
Area Between Two Curves
Applications in Business and Economics |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
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5 |
Partial (Partly) Integration Method
Applications in Business and Economics |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
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6 |
FUNCTIONS OF SEVERAL VARIABLES AND PARTIAL DERIVATIVES
Two or More Functions of Several Variables
Partial Derivatives
Applications in Business and Economics |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, 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 |
Direct expression, problem solving |
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8 |
Midterm Examination |
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9 |
Differentials
Chain Rule
Applications in Business and Economics |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
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10 |
Maximum and Minimum of Functions of Two Variables
Applications in Business and Economics |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
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11 |
Lagrange Multipliers
Applications in Business and Economics |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
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12 |
MATRICES AND DETERMINANTS
Definition of Matrices, Matrix Algebra Operations, Special Matrices
Determinant
Applications in Business and Economics |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
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13 |
Matrices and Linear Equations
Applications in Business and Economics |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, problem solving |
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14 |
Solving Systems of Linear Equations by Cramer´s Rule
Applications in Business and Economics |
Students will be prepared by studying relevant subjects from source books according to weekly program |
Direct expression, 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 |
Direct expression, problem solving |
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16/17 |
Final exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
Calculus For Business, Economics, Life Sciences and Social Sciences, Mond A. Barnett-Michael R. Zeigler-Karl E. Byleen, Çeviri Editörü: Prof. Dr. Arif Sabuncuoğlu
İşletme ve İktisat için Matematiksel Yöntemler, Schaum’s Outlines, Nobel Yayınevi.
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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 |
90 |
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Homeworks/Projects/Others |
10 |
10 |
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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 |
Models problems with Mathematics, Statistics, and Econometrics |
5 |
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2 |
Explains Econometric concepts |
4 |
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3 |
Estimates the model consistently and analyzes & interprets its results |
2 |
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4 |
Acquires basic Mathematics, Statistics and Operation Research concepts |
5 |
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5 |
Equipped with the foundations of Economics, and develops Economic models |
2 |
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6 |
Describes the necessary concepts of Business |
3 |
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7 |
Acquires the ability to analyze, benchmark, evaluate and interpret at conceptual levels to develop solutions to problems |
4 |
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8 |
Collects, edits, and analyzes data |
3 |
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9 |
Uses a package program of Econometrics, Statistics, and Operation Research |
1 |
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10 |
Effectively works, take responsibility, and the leadership individually or as a member of a team |
3 |
|
11 |
Awareness towards life-long learning and follow-up of the new information and knowledge in the field of study |
5 |
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12 |
Develops the ability of using different resources in the form of academic rules, synthesis the information gathered, and effective presentation in an area which has not been studied |
3 |
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13 |
Uses Turkish and at least one other foreign language, academically and in the business context |
0 |
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14 |
Good understanding, interpretation, efficient written and oral expression of the people involved |
4 |
|
15 |
Questions traditional approaches and their implementation while developing alternative study programs when required |
5 |
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16 |
Recognizes and implements social, scientific, and professional ethic values |
5 |
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17 |
Follows actuality, and interprets the data about economic and social events |
5 |
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18 |
Improves himself/herself constantly by defining educational requirements considering interests and talents in scientific, cultural, art and social fields besides career development |
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 |
2 |
20 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
5 |
5 |
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Final Exam |
1 |
5 |
5 |
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Total Workload: | 114 |
| Total Workload / 25 (h): | 4.56 |
| ECTS Credit: | 5 |
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