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Year/Semester of Study | 1 / Spring Semester | ||||
Level of Course | 1st Cycle Degree Programme | ||||
Type of Course | Compulsory | ||||
Department | CIVIL 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 | |||||
To learn the basic mathematical operations, their theorems and their definitions and gain the ability to practice mathematics in the courses. |
Learning Outcomes | PO | MME | |
The students who succeeded in this course: | |||
LO-1 | Partial integration method, Learning the integrals of rational and irrational functions Learning the applications of definite integral and properties |
PO-1 Recovery adequate knowledge in the field of mathematics, science and civil engineering; ability to use theoretical and applied information in these areas to model and solve Civil Engineering problems.
PO-4 Skill of development, selection, using modern techniques and tools are necessary for engineering applications, ability of using information technology effectively. PO-5 The ability of designing experiments to examine the engineering problems, conducting experiments, collecting data, analyzing and interpreting the results PO-6 Ability of working within single-disciplinary and multi-disciplinary teams effectively and skill of individual work. |
Examination Oral Examination |
LO-2 | Can draw a curve of a derivative function. |
PO-1 Recovery adequate knowledge in the field of mathematics, science and civil engineering; ability to use theoretical and applied information in these areas to model and solve Civil Engineering problems.
PO-4 Skill of development, selection, using modern techniques and tools are necessary for engineering applications, ability of using information technology effectively. PO-5 The ability of designing experiments to examine the engineering problems, conducting experiments, collecting data, analyzing and interpreting the results PO-6 Ability of working within single-disciplinary and multi-disciplinary teams effectively and skill of individual work. |
Examination Oral Examination |
PO: Programme Outcomes MME:Method of measurement & Evaluation |
Course Contents | ||
Derivative, geometric meaning and properties, Derivatives of basic elementary functions, Derivative and differential of higher order, Applications of derivative, Basic theorems related to derivative | ||
Weekly Course Content | ||
Week | Subject | Learning Activities and Teaching Methods |
1 | Applications of derivative; drawing the graphs of the functions, | Description method |
2 | Integrals and Integral Applications, | Description method |
3 | Binomial integral, integral of trigonometric and hyperbolic functions | Description method |
4 | Integration applications: area, volume, | Description method |
5 | Generalized integrals, | Description method |
6 | Vector values functions; limits, derivative, integrals and their applications, | Description method |
7 | Frenet formula, triple intgerals | Description method |
8 | mid-term exam | |
9 | Derivative for the direction, Gradient, divergence and rotation, | Description method |
10 | Mid value theorem, | Description method |
11 | Taylor formula and Maclaurin formula, | Description method |
12 | Higher order derivative and differential calculus | Description method |
13 | Applications of the Derivative: geometric meaning of derivative, tangent and normal distances | Description method |
14 | The extreme and asymptotes of the functions. | Description method |
15 | Preparation for Final Exam | Description method |
16 | final exam | |
Recommend Course Book / Supplementary Book/Reading | ||
1 | Genel Matematik, Osman Bizim, Ahmet Tekcan ve Betül Gezer, Dora Yayıncılık, Bursa, 2011. | |
2 | Temel ve Genel Matematik I-II, Prof. Dr. H. Hilmi HACISALİHOĞLU, Bilim Yayınları, 1996 | |
Required Course instruments and materials | ||
Genel Matematik, Osman Bizim, Ahmet Tekcan ve Betül Gezer, Dora Yayincilik, Bursa, 2011. Temel ve Genel Matematik I-II, Prof. Dr. H. Hilmi HACISALIHOGLU, Bilim Yayinlari, 1996 |
Assessment Methods | |||
Type of Assessment | Week | Hours | Weight(%) |
mid-term exam | 1 | 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 | 1 | 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 | 2 | 14 | 28 |
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 | 7 | 3 | 21 |
mid-term exam | 2 | 2 | 4 |
Own study for final exam | 7 | 3 | 21 |
final exam | 2 | 2 | 4 |
0 | |||
0 | |||
Total work load; | 120 |