Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 2 / 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 this course is to give necessary mathematics information relation to Differentiated Equations to students. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | will be able to solve derivatives, Series of Taylor McLaurin, Extreme Points and the problems of multiple integrals related to multivarient function |
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 give examples about Differential equations, reel problems, their types |
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 recognize differential equations some of the systems and the events |
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 practice the methods of solution of differential equations |
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-5 | will be able to analyse the analytical solutions of differential equations |
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 solve the numerical solution of differential equations (Euler, Runge-Kutta Methods) |
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 practise solutions of differential equations by using computer |
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 | ||
| Differential equations, Differential Equations to Engineering Applications, Laplace transformations, Complex Numbers, Vectors, Linear Vector Spaces, Orthogonal Functions, Partial Differential Equations, Fourier Transforms, Approximation Methods for the Solution of Differential Equations, Numerical Analysis, Least Squares | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Basic Concepts and Classifying Differential Equations | Preperation, question-answer, discussion methods |
| 2 | Solutions of First-Order Differential Equations | Preperation, question-answer, discussion methods |
| 3 | Exact First-Order D.E. | Preperation, question-answer, discussion methods |
| 4 | First-Order D.E | Preperation, question-answer, discussion methods |
| 5 | Bernoulli and Riccatti D.E. | Preperation, question-answer, discussion methods |
| 6 | Applications of First-Order Differential Equations | Preperation, question-answer, discussion methods |
| 7 | Linear Differential Equations: Theory of Solutions | Preperation, question-answer, discussion methods |
| 8 | mid-term exam | |
| 9 | Solutions of Linear Homogeneous Differential Equations with Constant Coefficients | Preperation, question-answer, discussion methods |
| 10 | Second-order Homogeneous Differential Equations with Constant Coefficients. | Preperation, question-answer, discussion methods |
| 11 | Higher-order of Linear Homogeneous Differential Equations | Preperation, question-answer, discussion methods |
| 12 | Cauchy-Euler Equations | Preperation, question-answer, discussion methods |
| 13 | Solving D.E. with force series | Preperation, question-answer, discussion methods |
| 14 | LaPlace Transforms and introduction to partial defferantial equations. | Preperation, question-answer, discussion methods |
| 15 | Linear D.E. systems | Preperation, question-answer, discussion methods |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Calculus and Analytical Geometry, G.B. Thomas ve R.L. Finney, Addison-Wesley, 1992. | |
| Required Course instruments and materials | ||
| 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 | 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 | 10 | 5 | 50 |
| mid-term exam | 1 | 1 | 1 |
| Own study for final exam | 10 | 5 | 50 |
| final exam | 1 | 1 | 1 |
| 0 | |||
| 0 | |||
| Total work load; | 144 | ||