Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Fall Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | ELEMENTARY MATHEMATICS EDUCATION | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | ŞENOL KARTAL (senol.kartal@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | MÜJDET GÜNGÖR, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| Comprehending different sets of numbers (natural, complete, real), introducing functions and basic types of functions, understanding of induction and multiplication, and serial concepts. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | learn real numbers and properties and use real number axis and ranges |
PO-1 Having the knowledge of teaching programs, teaching strategies, measurement and assessment methods related to the field PO-6 To be able to design and choose appropriate tools, instruments and materials for mathematics subjects and teaching process. PO-7 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process. |
Examination |
| LO-2 | comprehend the relationship between square root and absolute value |
PO-1 Having the knowledge of teaching programs, teaching strategies, measurement and assessment methods related to the field PO-2 Having the knowledge about the nature, source, limit, accuracy, validity and reliability of knowledge. PO-7 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process. PO-16 Evaluates the knowledge and skills in a critical way. |
Examination |
| LO-3 | make proof with induction method |
PO-1 Having the knowledge of teaching programs, teaching strategies, measurement and assessment methods related to the field PO-6 To be able to design and choose appropriate tools, instruments and materials for mathematics subjects and teaching process. PO-7 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process. PO-12 To be able to assess mathematics improvements using different assesment techniques. |
Examination |
| LO-4 | Understand the types of functions and functions |
PO-1 Having the knowledge of teaching programs, teaching strategies, measurement and assessment methods related to the field PO-6 To be able to design and choose appropriate tools, instruments and materials for mathematics subjects and teaching process. PO-10 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process. |
Examination |
| LO-5 | learn to deal with complex numbers and numbers |
PO-1 Having the knowledge of teaching programs, teaching strategies, measurement and assessment methods related to the field PO-10 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process. PO-12 To be able to assess mathematics improvements using different assesment techniques. PO-13 Being capable of using different evaluation and assessment techniques. |
Examination |
| LO-6 | solve equations and inequalities of a second order |
PO-6 To be able to design and choose appropriate tools, instruments and materials for mathematics subjects and teaching process. PO-7 To be able to use mathematical language accurately in their mathematics courses and in planning learning and teaching process. PO-12 To be able to assess mathematics improvements using different assesment techniques. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Set of natural numbers, set of integers, set of rational numbers, set of real numbers and properties. Second order equations and inequalities, analytical study of line, analytical examination of the circle and related applications. Function concept, polynomials, rational functions, trigonometric functions, hyperbolic functions, exponential and logarithmic functions and their inverse elementary functions. Graphs of functions. Induction principle, total and multiplication symbol characteristics, basic concepts about series and series. Complex numbers and properties. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Set of natural numbers and set of integers | Lecturing and question solutions |
| 2 | set of rational and irrational numbers | Lecturing and question solutions |
| 3 | set of real numbers | Lecturing and question solutions |
| 4 | Absolute value and properties | Lecturing and question solutions |
| 5 | Function concept, types of functions: trigonometric functions | Lecturing and question solutions |
| 6 | trigonometric and inverse trigonometric functions | Lecturing and question solutions |
| 7 | exponential and logarithmic functions | Lecturing and question solutions |
| 8 | mid-term exam | |
| 9 | Equivalent function and properties. | Lecturing and question solutions |
| 10 | Induction | Lecturing and question solutions |
| 11 | Total symbol | Lecturing and question solutions |
| 12 | Product Symbol | Lecturing and question solutions |
| 13 | Serial concept and applications | Lecturing and question solutions |
| 14 | Complex Number Concept | Lecturing and question solutions |
| 15 | polar representation of complex numbers and applications. | Lecturing and question solutions |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | • Joel R. Hass, George B. Thomas, Maurice D. Weir, Thomas Calculus I-II, Çeviri Editörü Mustafa Bayram, Pearson Yayıclık, 2010 | |
| 2 | • Prof. Dr. Ahmet A. KARADENİZ Yüksek Matematik. Cilt 1, 2. 4. Baskı, 1985. | |
| 3 | • Prof Dr. Mustafa BAYRAKTAR Analize giriş I, II. 2. Baskı, 2008 | |
| 4 | • Prof. Dr. Mustafa BALCI, Analiz 1,2. 7. Baskı, 2008. | |
| 5 | • Doç. Dr. Ahmet TEKCAN, İleri Analiz. DORA 2010. | |
| Required Course instruments and materials | ||
| Books, Computers, Projectors | ||
| 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 | 16 | 2 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 6 | 14 | 84 |
| Outside Class | |||
| a) Reading | 6 | 14 | 84 |
| b) Search in internet/Library | 8 | 12 | 96 |
| 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 | 3 | 6 | 18 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 3 | 7 | 21 |
| final exam | 3 | 1 | 3 |
| 0 | |||
| 0 | |||
| Total work load; | 308 | ||