Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | ENVIRONMENTAL ENGINEERING | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | AHMET KAYA (akaya@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| Students are taught the principles of engineering mathematics. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Able to take the applications of definite and indefinite integrals |
PO-1 In mathematics, science and engineering fields related to environmental engineering to have these fields in use for the solution of theoretical and practical knowledge of engineering, PO-2 Environmental Science and Environmental Technology on the engineering problems to identify, formulate, and solve engineering problems, for this purpose, select and apply appropriate analytical methods and modeling techniques, PO-3 The modern techniques and tools necessary for engineering practice to select and use skills, ability to use information technology effectively, |
Examination |
| LO-2 | Generalized integral, differential and fully utilize the partial derivative of |
PO-1 In mathematics, science and engineering fields related to environmental engineering to have these fields in use for the solution of theoretical and practical knowledge of engineering, PO-2 Environmental Science and Environmental Technology on the engineering problems to identify, formulate, and solve engineering problems, for this purpose, select and apply appropriate analytical methods and modeling techniques, PO-3 The modern techniques and tools necessary for engineering practice to select and use skills, ability to use information technology effectively, |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Definite Integrals and Applications, Area, Volume, Arc Length Calculus, Finding the Area of ??a surface of revolution, Integral Assisted Account Limit, Average Value, Improper Integrals, along a curve of mass Account, Series, Power Series, series expansion of functions Functions of Several Variables, limit, Continuity, Partial Derivatives, Derivatives in any direction, Fully Differential, Regional Transformation, Taylor Series for Functions of Several Variables, Functions of Several Variables Maximum and Minimum, get derivative under the integral sign, double integrals and applications, Triple Integrals and Its Applications, Spherical and Cylindrical Coordinates, Line Integrals, Green's Theorem. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Indefinite Integrals | solution to the question on the subject |
| 2 | Methods of Integration | solution to the question on the subject |
| 3 | Properties of Definite Integrals | solution to the question on the subject |
| 4 | Applications of Definite Integrals (Area, Volume, Arc Length Calculus, Finding the Area of a surface of revolution) | solution to the question on the subject |
| 5 | Applications of Definite Integrals (Area, Volume, Arc Length Calculus, Finding the Area of a surface of revolution) | solution to the question on the subject |
| 6 | Applications of Definite Integrals (Area, Volume, Arc Length Calculus, Finding the Area of a surface of revolution) | solution to the question on the subject |
| 7 | Assisted Integral Limit Account | solution to the question on the subject |
| 8 | mid-term exam | |
| 9 | Improper Integrals and Their Properties | solution to the question on the subject |
| 10 | Improper Integrals and Their Properties | solution to the question on the subject |
| 11 | partial Derivatives | solution to the question on the subject |
| 12 | partial Derivatives | solution to the question on the subject |
| 13 | Exact Differential | solution to the question on the subject |
| 14 | Exact Differential | solution to the question on the subject |
| 15 | Regional Transformations | solution to the question on the subject |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Genel Matematik, Osman Bizim, Ahmet Tekcan ve Betül Gezer, Dora Yayıncılık, Bursa, 2011. | |
| Required Course instruments and materials | ||
| book | ||
| 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 | 2 | 11 | 22 |
| 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 | 3 | 7 | 21 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 4 | 8 | 32 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 121 | ||