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Description of Individual Course Units| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | İSL1062013204 | MATHEMATICS-II | Compulsory | 1 | 2 | 3 |
| | Level of Course Unit | | First Cycle | | Objectives of the Course | | The aim of the course is
• to teach how examine the behavior of a real valued function | | Name of Lecturer(s) | | Öğr.gör.Ahmet Erkan Birben | | Learning Outcomes | | 1 | Ekonomik teori, ekonomik modeller ve matematik ilişkisiyle birlikte ekonomik uygulamalarda kullanılan gerekli matematiksel kavramları açıklar | | 2 | Analitik düşünme ve problem çözme becerilerini kazanır | | 3 | Matematiksel araç ve tekniklerin basit makroekonomik ve milli gelir modellerine uygular | | 4 | Mikroekonomi, makroekonomi ve uluslararası iktisat gibi dersler için gerekli temel altyapıyı oluşturur | | 5 | Effectively be able to define set operations on intervals and functional relationship among variables. | | 6 | Able to define intersection, union and difference of intervals | | 7 | Able to define independent and dependet variables | | 8 | Able to explain defination and valuation sets of a function | | 9 | Able to define cartesian product plot of two sets |
| | Mode of Delivery | | Formal Education | | Prerequisites and co-requisities | | None | | Recommended Optional Programme Components | | None | | Course Contents | | • Numbers,
• Real Number System and intervals, set operations on intervals,
• Absolute value Relationship, function, properties of functions,
• Polinomial functions,
• Linear function,
• Second-order functions, graphing of piece-wise defined functions,
• Exponential and Logaritmic function,
• Applications of exponential function,
• Slope of the line, Line Equation, Intercept of two lines,
• Applications of linear functions
• Limit,
• Derivative of one-variable functions, derivative rules,
• Derivative of one-variable functions, derivative rules,
• Applications of linear functions,
• Applications of derivative; Increasing and decreasing functions, finding of maximum and minimum points, second-order derivative and concavity, finding of twist point,undetermined forms on limits,
• Economics and management applications of derivative, graphing of a function,
• Graphing of a function, Multi-variable functions,
• Three-Dimension Coordinate System,
• Partial derivation,
• Applications of Partial Derivations.
| | Weekly Detailed Course Contents | |
| 1 | Numbers, Real Number System and intervals and set operations on intervals, absolute value | | | | 2 | Relationship, function, properties of functions
| | | | 3 | Polinomial functions, Linear function, second-order functions, graphing of piece-wise defined functions
| | | | 4 | Exponential and Logaritmic function, Applications of exponential function
| | | | 5 | Slope of the line, Line Equation, Intercept of two lines,
| | | | 6 | Applications of linear functions
| | | | 7 | Limit.
| | | | 8 | Mid-term Exam | | | | 9 | Derivative of one-variable functions, derivative rules
| | | | 10 | Derivative of one-variable functions, derivative rules
| | | | 11 | Applications of linear functions
| | | | 12 | Applications of derivative; Increasing and decreasing functions, finding of maximum and minimum points, second-order derivative and concavity,finding of twist point,undetermined forms on limits
| | | | 13 | Economics and management applications of derivative, graphing of a function
| | | | 14 | Graphing of a function, Multi-variable functions, Three-Dimension Coordinate System | | | | 15 | Partial derivation, Applications of Partial Derivations | | | | 16 | Final Exam | | |
| | Recommended or Required Reading | | | Planned Learning Activities and Teaching Methods | | | Assessment Methods and Criteria | |
| SUM | 0 | |
| SUM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
| | Workload Calculation | |
| Midterm Examination | 1 | 1 | 1 | | Final Examination | 1 | 1 | 1 | | Attending Lectures | 14 | 3 | 42 | | Self Study | 14 | 2 | 28 | | Individual Study for Mid term Examination | 1 | 10 | 10 | | Individual Study for Final Examination | 1 | 10 | 10 | |
| Contribution of Learning Outcomes to Programme Outcomes | | LO1 | 3 | 3 | 4 | 4 | 3 | 4 | 3 | 3 | 3 | 3 | 4 | 4 | 3 | 3 | 3 | | LO2 | 3 | 3 | 3 | 3 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | 4 | 3 | 2 | 3 | | LO3 | 3 | 3 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 4 | 4 | 2 | 3 | 3 | | LO4 | 3 | 3 | 3 | 3 | 2 | 3 | 3 | 3 | 3 | 4 | 3 | 4 | 4 | 3 | 3 | | LO5 | | | | | | | | | | | | | | | | | LO6 | | | | | | | | | | | | | | | | | LO7 | | | | | | | | | | | | | | | | | LO8 | | | | | | | | | | | | | | | | | LO9 | | | | | | | | | | | | | | | |
| | * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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