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Year/Semester of Study | 1 / Spring Semester | ||||
Level of Course | 1st Cycle Degree Programme | ||||
Type of Course | Compulsory | ||||
Department | METARLURGICAL AND MATERIALS 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 teach the principles of engineering mathematics. |
Learning Outcomes | PO | MME | |
The students who succeeded in this course: | |||
LO-1 | Students 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 Metallurgy and Materials Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Metallurgy and Materials Engineering is able to use for engineering solutions. |
Examination |
LO-2 | Students 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 Metallurgy and Materials Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Metallurgy and Materials Engineering is able to use for engineering solutions. |
Examination |
LO-3 | Students 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 Metallurgy and Materials Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Metallurgy and Materials Engineering is able to use for engineering solutions. |
Examination |
LO-4 | Students will be able to explain the generalized integrals. |
PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Metallurgy and Materials Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Metallurgy and Materials Engineering is able to use for engineering solutions. |
Examination |
LO-5 | Students 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 Metallurgy and Materials Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Metallurgy and Materials Engineering is able to use for engineering solutions. |
Examination |
LO-6 | Students 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 Metallurgy and Materials Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Metallurgy and Materials Engineering is able to use for engineering solutions. |
Examination |
LO-7 | Students 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 Metallurgy and Materials Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Metallurgy and Materials Engineering is able to use for engineering solutions. |
Examination |
PO: Programme Outcomes MME:Method of measurement & Evaluation |
Course Contents | ||
indefinite integral, methods of indefinite integral,Properties of the integral, Theorems related with the Riemann integral,Applications of the Riemann integral (Calculation of Area, length of arc, volume and surface area), Generalized integrals and their properties, functions of several variables. | ||
Weekly Course Content | ||
Week | Subject | Learning Activities and Teaching Methods |
1 | Indefinite integrals, methods of integrals, changing variables,partial integration | Solution to the question on the subject |
2 | Seperation of the simple fractions, integral of trigonometric functions | Solution to the question on the subject |
3 | Integral of Irrational algebric functions, Binom integrals | Solution to the question on the subject |
4 | Integrals of the radical expressions, Definition of definite integral | Solution to the question on the subject |
5 | The problems of causing definite integral, Properties of definite integral | Solution to the question on the subject |
6 | The method of changing variable, partial integral | Solution to the question on the subject |
7 | Generalized integrals, nonspecific integrals, random examples | Solution to the question on the subject |
8 | mid-term exam | |
9 | The convergence criterias of generalized integrals | Solution to the question on the subject |
10 | Calculation of area, calculation of length of arc | Solution to the question on the subject |
11 | Calculation of volume | Solution to the question on the subject |
12 | Computation of surface area | Solution to the question on the subject |
13 | The domains of functions of several variables | Solution to the question on the subject |
14 | Limits and continuity of functions of several variables | Solution to the question on the subject |
15 | Limits and continuity of functions of several variables | 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 | ||
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 | 3 | 13 | 39 |
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 | 5 | 3 | 15 |
mid-term exam | 2 | 1 | 2 |
Own study for final exam | 4 | 5 | 20 |
final exam | 2 | 1 | 2 |
0 | |||
0 | |||
Total work load; | 120 |