| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | 170300401301 | ANALYSIS III | Compulsory | 2 | 3 | 7 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| This course aims to give fundemental concepts and methods of functions of several variables. |
| Name of Lecturer(s) |
| Dr. Öğr. Üyesi Hasan KARA |
| Learning Outcomes |
| 1 | To be able to comprehend the multivariate functions | | 2 | To be able to generalize the prior knowledge to multivariate functions | | 3 | To be able to improve mathematical thinking | | 4 | To be able to gain skills to work individually |
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| Mode of Delivery |
| Daytime Class |
| Prerequisites and co-requisities |
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| Recommended Optional Programme Components |
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| Course Contents |
| Functions of several variables, Limits and continuity, Partial derivatives, Tangent Planes and Linear Approximations, The Chain Rule, Directional derivatives and gradient vector, Maximum and minimum values, Lagrange. |
| Weekly Detailed Course Contents |
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| 1 | Functions of several variables | | | | 2 | Limits and continuity | | | | 3 | Partial derivatives | | | | 4 | The Chain Rule | | | | 5 | Vector Functions | | | | 6 | Directional derivatives and gradient vector | | | | 7 | Maximum and minimum values | | | | 8 | MIDTERM EXAM | | | | 9 | Lagrange multipliers | | | | 10 | Taylor's formula for two variables | | | | 11 | Mean Value theorem | | | | 12 | Jacobian, transformations, Homogenous function | | | | 13 | Functional dependence, exact differential | | | | 14 | Leibniz Formula | | | | 15 | Final Exam | | |
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| Recommended or Required Reading |
| 1. Stewart, J. , “Calculus Early Transcendentals 6e”, Thomson Brooks/ColeAddison Wesley (2008),
2. Stein, S. K. and Barcellos, A., "Calculus and Analytic Geometry", McGraw Hill, (1992)
3. Thomas, G.B., “Thomas’ Calculus”, Addison Wesley (11th edition 2005)
4. Sokolnikoff, I. S., “Advanced Calculus”, McGraw Hill (1939)
5. Adams, R. A. , “Calculus A complete Course”, Addison Wesley Longman (2003). |
| Planned Learning Activities and Teaching Methods |
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| 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) | |
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| Workload Calculation |
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| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 5 | 70 |
| Question-Answer | 14 | 5 | 70 |
| Individual Study for Mid term Examination | 1 | 30 | 30 |
| Individual Study for Final Examination | 1 | 30 | 30 |
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| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | | LO2 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | | LO3 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | | LO4 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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