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 | DEPARTMENT OF MECHANICAL ENGINEERING | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | SURE KÖME (sure.kome@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| Students have general information about limits, continuity, derivatives, integrals and multivariate functions and gain the ability to practice. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | will be able to explain the concept of the indefinite integral |
PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Machnical Engineering is able to use for engineering solutions. |
Examination |
| LO-2 | will be able to practise the integral methods. |
PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Machnical Engineering is able to use for engineering solutions. |
Examination |
| LO-3 | will be able to explain the definite integral. |
PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Machnical Engineering is able to use for engineering solutions. |
Examination |
| LO-4 | will be able to explain the generalized integrals. |
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Machnical Engineering is able to use for engineering solutions. |
Examination |
| LO-5 | will be able to recognize the generalized integrals. |
PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Machnical Engineering is able to use for engineering solutions. |
Examination |
| LO-6 | will be able to interpret the properties of the generalized integrals |
PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Machnical Engineering is able to use for engineering solutions. |
Examination |
| LO-7 | will be able to solve functions of several variables. |
PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Machnical Engineering is able to use for engineering solutions. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Exponential and logaritmic functions, hyperbolic and inverse hyperbolic functions, Integration methods and applications, Indefinite integrals and applications, Area calculation, calculation of the area between two curves, areas of bounded regions by the curves given by parametric equations, Multivariable functions, partial derivatives | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Indefinite integrals, methods of integrals, changing variables,partial integration | Presentation, answer-question, solution of problem methods |
| 2 | Seperation of the simple fractions, integral of trigonometric functions | Presentation, answer-question, solution of problem methods |
| 3 | Integral of Irrational algebric functions, Binom integrals | Presentation, answer-question, solution of problem methods |
| 4 | Integrals of the radical expressions, Definition of definite integral | Presentation, answer-question, solution of problem methods |
| 5 | The problems of causing definite integral, Properties of definite integral | Presentation, answer-question, solution of problem methods |
| 6 | The method of changing variable, partial integral | Presentation, answer-question, solution of problem methods |
| 7 | Generalized integrals, nonspecific integrals, random examples | Presentation, answer-question, solution of problem methods |
| 8 | mid-term exam | |
| 9 | The convergence criterias of generalized integrals | Presentation, answer-question, solution of problem methods |
| 10 | Calculation of area, calculation of length of arc | Presentation, answer-question, solution of problem methods |
| 11 | Calculation of volume | Presentation, answer-question, solution of problem methods |
| 12 | Computation of surface area | Presentation, answer-question, solution of problem methods |
| 13 | The domains of functions of several variables | Presentation, answer-question, solution of problem methods |
| 14 | Limits and continuity of functions of several variables | Presentation, answer-question, solution of problem methods |
| 15 | Limits and continuity of functions of several variables | Presentation, answer-question, solution of problem methods |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Balcı, Mustafa; Matematik Analiz II, AnkÜni. Fen Fak. Yayınları, No 142, Ankara. | |
| Required Course instruments and materials | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 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 | 16 | 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 | 0 | ||
| 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 | 12 | 4 | 48 |
| mid-term exam | 1 | 2 | 2 |
| Own study for final exam | 12 | 5 | 60 |
| final exam | 1 | 2 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 154 | ||