Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 2 / Fall Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | MATHEMATICS | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | NECDET BATIR (nbatir@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Convergence tests for series which positive terms is known. |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. |
Examination |
| LO-2 | Uniform convergence is learnt. |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. |
Examination |
| LO-3 | Some topological concepts is learnt. |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. PO-4 Analytically use the interdisciplinary approach at learning process. |
Examination |
| LO-4 | partial derivatives, Fully differential are learnt. |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. PO-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Series, the convergence criterion for series of positive terms, Alternating series, any series of terms, Uniform convergence, Uniform convergence and derivative,uniform convergence and integral, Power series, Taylor series, Types of improper integrals, convergence criteria for Improper Integrals, Types of improper integrals, convergence criteria for Improper Integrals, Limits of vector valued functions, continuity, Vector valued functions and their derivatives, integrals, Multi- variable functions, Some topological concepts Sets of images and descriptions of such variable functions. Limits and continuity of functions of such variables, partial derivatives, Fully differential. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Power series functions and pontwise and uniform convergence at power series functions | Oral representation, questioning and answering |
| 2 | Uniform convergence and change of order conditions for limit and integrals | Oral representation, questioning and answering |
| 3 | Infinite series and convergence at inifinite series | Oral representation, questioning and answering |
| 4 | Convergence at inifinite series , absolute convergence and convergence tests | Oral representation, questioning and answering |
| 5 | Power series and radius of convergence | Oral representation, questioning and answering |
| 6 | Function series examples unifom convergence at function series and Weierstrass M-test | Oral representation, questioning and answering |
| 7 | Function series derivaties and integrals | Oral representation, questioning and answering |
| 8 | mid-term exam | |
| 9 | Some topological concepts and notions for space | Oral representation, questioning and answering |
| 10 | Multivariable functions ,domain and image sets | Oral representation, questioning and answering |
| 11 | Directional and Partial dervatives of Multivariable functions | Oral representation, questioning and answering |
| 12 | Taylor Theorem and multivariable functions, maximum and minimum points of Multivariable functions and applications. | Oral representation, questioning and answering |
| 13 | Vector variable functions limit,contiunity and derivatives | Oral representation, questioning and answering |
| 14 | Vector variable functions limit,contiunity and derivatives | Oral representation, questioning and answering |
| 15 | Preparation fom final exam | Oral representation, questioning and answering |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Analiz, Mustafa Balcı | |
| 2 | Berki Yurtsever, (1978) Matematik Analiz Dersleri, Diyarbakır Üniversitesi Fen Fakültesi Yayınları. | |
| 3 | H. Halilov, A. Hasanoğlu, M. Can,(1999),Yüksek Matematik, Litaratür Yayınları | |
| Required Course instruments and materials | ||
| [1] Berki Yurtsever, (1978) Mathematic analysis Course, Diyarbakir University Science Faculty Publications. [2] H. Halilov, A. Hasanoglu, M. Can,(1999) Higher Mathematics, Litaratür Publications [3] M. Balci,(1997) Matematics Analysis -1, Balci Publications | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 2 | 40 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | |||
| 8.Term Paper | |||
| 9.Project | |||
| final exam | 14 | 2 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 5 | 14 | 70 |
| Outside Class | |||
| a) Reading | 4 | 14 | 56 |
| b) Search in internet/Library | 4 | 14 | 56 |
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 4 | 2 | 8 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 8 | 2 | 16 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 210 | ||