Nevşehir Hacı Bektaş Veli University Course Catalogue
|
|||||
| Year/Semester of Study | 1 / Fall Semester | ||||
| Level of Course | 2nd Cycle Degree Programme | ||||
| Type of Course | Optional | ||||
| Department | TEKLİF EDİLEN MATEMATİK EĞİTİMİ (TEZLİ YÜKSEK LİSANS) | ||||
| 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) | ŞENOL KARTAL, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The aim of this course is to teach the concepts of derivative and integral in multivariable functions. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Understands the structure of multivariable function. |
PO-1 Has advanced field knowledge regarding mathematics education. PO-11 Applies the fundamental concepts of algebra, analysis and geometry. PO-12 Analyzes mathematical models of problems in different fields. PO-13 Proves using reasoning and mathematical proof methods. |
Examination |
| LO-2 | Understands limit and continuity in multivariable functions. |
PO-1 Has advanced field knowledge regarding mathematics education. PO-11 Applies the fundamental concepts of algebra, analysis and geometry. PO-12 Analyzes mathematical models of problems in different fields. PO-13 Proves using reasoning and mathematical proof methods. |
Examination |
| LO-3 | Understands the derivative in multivariable functions |
PO-1 Has advanced field knowledge regarding mathematics education. PO-11 Applies the fundamental concepts of algebra, analysis and geometry. PO-12 Analyzes mathematical models of problems in different fields. PO-13 Proves using reasoning and mathematical proof methods. |
Examination |
| LO-4 | Calculate area and volume with the help of double integral |
PO-1 Has advanced field knowledge regarding mathematics education. PO-11 Applies the fundamental concepts of algebra, analysis and geometry. PO-12 Analyzes mathematical models of problems in different fields. PO-13 Proves using reasoning and mathematical proof methods. |
Examination |
| LO-5 | Üç katlı integral yardımıyla alan ve hacim hesaplar |
PO-1 Has advanced field knowledge regarding mathematics education. PO-11 Applies the fundamental concepts of algebra, analysis and geometry. PO-12 Analyzes mathematical models of problems in different fields. PO-13 Proves using reasoning and mathematical proof methods. |
Examination |
| LO-6 | Learns the concept of curvilinear integral and calculates curvilinear integral |
PO-1 Has advanced field knowledge regarding mathematics education. PO-11 Applies the fundamental concepts of algebra, analysis and geometry. PO-12 Analyzes mathematical models of problems in different fields. PO-13 Proves using reasoning and mathematical proof methods. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
|||
| Course Contents | ||
| Some Topological Concepts, Functions of Multivariables, Partial Derivatives, Chain Rule, Complete Differential, Derivative of Implicit Functions, Differentiating in Any Direction, Taylor Expansion of Functions of Two Variables, Functional Dependence, Maximums and Minimums, Applications of Twofold Integrals, Applications of Threefold Integrals, Curvilinear Integrals and Applications | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Some Topological Concepts | Narration, Discussion Method |
| 2 | Multivariable Functions | Narration, Discussion Method |
| 3 | Partial Derivatives | Narration, Discussion Method |
| 4 | Chain Rule | Narration, Discussion Method |
| 5 | Full Differential | Narration, Discussion Method |
| 6 | Derivative of Implicit Functions | Narration, Discussion Method |
| 7 | Differentiating in Any Direction | Narration, Discussion Method |
| 8 | mid-term exam | |
| 9 | Taylor Expansion of Two Variable Functions | Narration, Discussion Method |
| 10 | Functional Dependency, Maximums and Minimums | Narration, Discussion Method |
| 11 | Applications of Double Integrals | Narration, Discussion Method |
| 12 | Applications of Double Integrals | Narration Method |
| 13 | Applications of Triple Integrals | Narration, Discussion Method |
| 14 | Applications of Triple Integrals | Narration, Discussion Method |
| 15 | Curvilinear Integrals and Applications | Narration, Discussion Method |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | George, B.T., Maurice D. W., ve Joel R. H., Çeviri Editörü Mustafa Bayram, (2010). Thomas Kalkülüs 12. Baskı. Pearson Üniversite Kitapları Serisi. | |
| Required Course instruments and materials | ||
| book, notebook | ||
| 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) | 3 | 14 | 42 |
| Outside Class | |||
| a) Reading | 3 | 14 | 42 |
| b) Search in internet/Library | 3 | 14 | 42 |
| c) Performance Project | 3 | 4 | 12 |
| 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 | 7 | 21 |
| mid-term exam | 1 | 1 | 1 |
| Own study for final exam | 3 | 7 | 21 |
| final exam | 1 | 1 | 1 |
| 0 | |||
| 0 | |||
| Total work load; | 182 | ||