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 | 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 | |||||
| The aim of the course is to teach the basic mathematical techniques used in branch courses, in addition to attain analytical thinking. Course description Basic mathematic topics and their applications to engineering | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | will be able to define concept of number, function, and some of the special functions |
PO-6 Then, in the field of Machnical engineering uses existing methods and devices according to the standards, test design, test makes, collects data, analyzes and reviews the results. 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 Oral Examination |
| LO-2 | will be able to take the limit of functions at a point |
PO-6 Then, in the field of Machnical engineering uses existing methods and devices according to the standards, test design, test makes, collects data, analyzes and reviews the results. 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 Oral Examination |
| LO-3 | will be able to use limits of continuous functions |
PO-6 Then, in the field of Machnical engineering uses existing methods and devices according to the standards, test design, test makes, collects data, analyzes and reviews the results. 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 Oral Examination |
| LO-4 | will be able to make its applications with derivatives of functions |
PO-6 Then, in the field of Machnical engineering uses existing methods and devices according to the standards, test design, test makes, collects data, analyzes and reviews the results. 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 Oral Examination |
| LO-5 | will be able to draw a graph of the curve with the help of derivative |
PO-6 Then, in the field of Machnical engineering uses existing methods and devices according to the standards, test design, test makes, collects data, analyzes and reviews the results. 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 Oral Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Geometric applications of derivatives: Maximum-minimum problems, exponential uncertainty, graphics, drawings, differential equations. Indefinite integral: integral definition, the variables can be divided into integral, partial integral, integral by simple fractions, integrals of trigonometric functions, integrals of irrational functions. Definite Integral: the definite integral, area and volume calculations, arc length, improper integrals. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Sets, numbers, exponents and roots, 2nd degree equations and inequalities | the method of solving of problem |
| 2 | Analytical examination of the accurate and circle. | the method of solving of problem |
| 3 | The concept of function, some special functions, plotting of function graphs | the method of solving of problem |
| 4 | Trigonometric and inverse trigonometric functions | the method of solving of problem |
| 5 | Trigonometric and inverse trigonometric functions | the method of solving of problem |
| 6 | Exponential, logarithmic, hyperbolic and inverse hyperbolic functions | the method of solving of problem |
| 7 | Limit, the right and left sided limits, some trigonometric limits | the method of solving of problem |
| 8 | mid-term exam | |
| 9 | Continuity, properties of continuous functions with a closed range | the method of solving of problem |
| 10 | The concept of derivative, the general rules of differentiation, inverse functions, derivative of trigonometric and inverse trigonometric functions, | the method of solving of problem |
| 11 | Logarithmic differentiation, logarithms, exponential, differentiation of the hyperbolic and inverse hyperbolic functions | the method of solving of problem |
| 12 | Derivatives of the Parametric and implicit function , higher order derivatives. | the method of solving of problem |
| 13 | Geometrical and physical meaning of the derivatives , increasing and decreasing functions, maximum and minimum problems. | the method of solving of problem |
| 14 | Geometric interpretation of the second derivative, Derivative theorems, L'Hospital rule. | the method of solving of problem |
| 15 | The concept of differential , plotting and applications of curve | the method of solving of problem |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Calculus: A Complete Course, 4th Edition, Robert A. Adams, PrenticeHall. | |
| 2 | Temel ve Genel Matematik, Hilmi Hacısalihoğlu, Mustafa Balcı, Ankara Üni. | |
| Required Course instruments and materials | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 2 | 30 |
| Other assessment methods | |||
| 1.Oral Examination | 12 | 1 | 10 |
| 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 | 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 | 2 | 12 | 24 |
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 10 | 4 | 40 |
| mid-term exam | 1 | 1 | 1 |
| Own study for final exam | 10 | 5 | 50 |
| final exam | 1 | 1 | 1 |
| 0 | |||
| 0 | |||
| Total work load; | 158 | ||