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| Year/Semester of Study | 1 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | CIVIL ENGINEERING | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | HAYRULLAH ÖZİMAMOĞLU (h.ozimamoglu@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To learn the basic mathematical operations, their theorems and their definitions and gain the ability to practice mathematics in the courses. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Partial integration method, Learning the integrals of rational and irrational functions Learning the applications of definite integral and properties |
PO-1 Recovery adequate knowledge in the field of mathematics, science and civil engineering; ability to use theoretical and applied information in these areas to model and solve Civil Engineering problems.
PO-4 Skill of development, selection, using modern techniques and tools are necessary for engineering applications, ability of using information technology effectively. PO-5 The ability of designing experiments to examine the engineering problems, conducting experiments, collecting data, analyzing and interpreting the results PO-6 Ability of working within single-disciplinary and multi-disciplinary teams effectively and skill of individual work. |
Examination Oral Examination |
| LO-2 | Can draw a curve of a derivative function. |
PO-1 Recovery adequate knowledge in the field of mathematics, science and civil engineering; ability to use theoretical and applied information in these areas to model and solve Civil Engineering problems.
PO-4 Skill of development, selection, using modern techniques and tools are necessary for engineering applications, ability of using information technology effectively. PO-5 The ability of designing experiments to examine the engineering problems, conducting experiments, collecting data, analyzing and interpreting the results PO-6 Ability of working within single-disciplinary and multi-disciplinary teams effectively and skill of individual work. |
Examination Oral Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Derivative, geometric meaning and properties, Derivatives of basic elementary functions, Derivative and differential of higher order, Applications of derivative, Basic theorems related to derivative | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Applications of derivative; drawing the graphs of the functions, | Description method |
| 2 | Integrals and Integral Applications, | Description method |
| 3 | Binomial integral, integral of trigonometric and hyperbolic functions | Description method |
| 4 | Integration applications: area, volume, | Description method |
| 5 | Generalized integrals, | Description method |
| 6 | Vector values functions; limits, derivative, integrals and their applications, | Description method |
| 7 | Frenet formula, triple intgerals | Description method |
| 8 | mid-term exam | |
| 9 | Derivative for the direction, Gradient, divergence and rotation, | Description method |
| 10 | Mid value theorem, | Description method |
| 11 | Taylor formula and Maclaurin formula, | Description method |
| 12 | Higher order derivative and differential calculus | Description method |
| 13 | Applications of the Derivative: geometric meaning of derivative, tangent and normal distances | Description method |
| 14 | The extreme and asymptotes of the functions. | Description method |
| 15 | Preparation for Final Exam | Description method |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Genel Matematik, Osman Bizim, Ahmet Tekcan ve Betül Gezer, Dora Yayıncılık, Bursa, 2011. | |
| 2 | Temel ve Genel Matematik I-II, Prof. Dr. H. Hilmi HACISALİHOĞLU, Bilim Yayınları, 1996 | |
| Required Course instruments and materials | ||
| Genel Matematik, Osman Bizim, Ahmet Tekcan ve Betül Gezer, Dora Yayincilik, Bursa, 2011. Temel ve Genel Matematik I-II, Prof. Dr. H. Hilmi HACISALIHOGLU, Bilim Yayinlari, 1996 | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 1 | 1 | 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 | 1 | 1 | 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 | 2 | 14 | 28 |
| b) Search in internet/Library | 0 | ||
| 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 | 7 | 3 | 21 |
| mid-term exam | 2 | 2 | 4 |
| Own study for final exam | 7 | 3 | 21 |
| final exam | 2 | 2 | 4 |
| 0 | |||
| 0 | |||
| Total work load; | 120 | ||