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Year/Semester of Study | 1 / Fall 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 | HAYRULLAH ÖZİMAMOĞLU (h.ozimamoglu@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 | he concepts of number, function, and learn some of the special functions |
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, |
Examination |
LO-2 | Take the limit of functions at a point |
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, |
Examination |
LO-3 | Limits use of continuous functions |
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-4 | Be able to take derivatives of functions and applications |
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-5 | Draw a graph of the curve with the help of derivative |
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 |
Course Contents | ||
Functions, limits, derivatives and their applications, Rolle's Theorem and the Mean Value Theorem, Taylor expansion of the ODT and the approximation error estimation, uncertainty, and L'Hopital rule indeterminate situations limit the maximum and minimum problems, marking the first derivative analysis, maximum-minimum problems and applications, convexity and concavity, asymptotes, curve, Indefinite Integral. | ||
Weekly Course Content | ||
Week | Subject | Learning Activities and Teaching Methods |
1 | functions | solution to the question on the subject |
2 | Limit of a function | solution to the question on the subject |
3 | continuity | solution to the question on the subject |
4 | Derivative, the general rules of differentiation | solution to the question on the subject |
5 | Derivative, the general rules of differentiation | solution to the question on the subject |
6 | Rolle's Theorem and Mean Value Theorem | solution to the question on the subject |
7 | Uncertainties | solution to the question on the subject |
8 | mid-term exam | |
9 | Limit uncertain situations and L'Hopital rule | solution to the question on the subject |
10 | Maximum and minimum problems | solution to the question on the subject |
11 | Examination of the first derivative sign | solution to the question on the subject |
12 | Maximum and minimum problems, applications, | solution to the question on the subject |
13 | Convexity, concavity | solution to the question on the subject |
14 | curve drawings | solution to the question on the subject |
15 | curve drawings | 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 | 0 | ||
b) Search in internet/Library | 2 | 11 | 22 |
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 | 1 | 1 | 1 |
Own study for final exam | 3 | 11 | 33 |
final exam | 1 | 1 | 1 |
0 | |||
0 | |||
Total work load; | 120 |