| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | Gİ115 | Mathematics I | Compulsory | 1 | 1 | 4 |
|
| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| Functions and graphs, limits, to teach the expression and definition of continuity and derivative applications. |
| Name of Lecturer(s) |
| Ögr.Gör. Ümit DEMİR |
| Learning Outcomes |
| 1 | They will learn basic mathematical techniques. | | 2 | They will be able to draw graphs of functions and functions. | | 3 | They will know the limit and continuity in the functions | | 4 | They will learn the concept and rules of derivatives in functions. | | 5 | They will be able to perform various applications of the derivative. |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Numbers, linear equations, inequalities, coordinate plane and graphs, applications of functions and functions, exponential and logarithmic functions and applications, limit and continuity, derivative topics are covered. Accounting, Business Mathematics, Micro and Macro Economics courses. |
| Weekly Detailed Course Contents |
|
| 1 | Equations and inequalities in 1st and 2nd degree, Solution clusters | | | | 2 | Relation, function concept | | | | 3 | Graphs of linear and parabolic functions | | | | 4 | Partial functions, Exponential and Logarithmic functions and graphs | | | | 5 | Trigonometrice functions and graphics | | | | 6 | Limit and continuity | | | | 7 | Derivative methods I | | | | 8 | Derivative methods II +MİDTERM EXAM | | | | 9 | Derivative Rules | | | | 10 | Derivative establishes, derivative of implicit function, partial derivatives | | | | 11 | Higher order derivatives, Taylor and Maclaurin expansions | | | | 12 | Geometric interpretation of the derivative, tangent equation, increasing - decreasing | | | | 13 | Derivative applications, maximum-minimum problems | | | | 14 | Applications of derivative in economics and economics, Marginal calculations | | | | 15 | Applications of derivative in economics and economics, Marginal calculations | | |
|
| Recommended or Required Reading |
| Genel Matematik, Prof.Dr. Ekrem KADIOĞLU, Prof.Dr. Muhammet Kamali, Erzurum-2009 |
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 3 | 42 |
| Question-Answer | 14 | 2 | 28 |
| Self Study | 14 | 2 | 28 |
| Individual Study for Mid term Examination | 1 | 6 | 6 |
| Individual Study for Final Examination | 1 | 8 | 8 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 4 | 1 | 3 | 2 | 2 | 1 | 1 | 1 | 3 | | LO2 | 3 | 1 | 3 | 3 | 2 | 1 | 1 | 1 | 3 | | LO3 | 3 | 1 | 3 | 2 | 3 | 1 | 1 | 1 | 3 | | LO4 | 3 | 2 | 1 | 3 | 2 | 1 | 1 | 1 | 3 | | LO5 | 4 | 1 | 1 | 2 | 3 | 1 | 1 | 1 | 3 |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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