Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF ENGINEERING & ARCHITECTURE / MAT102 - METARLURGICAL AND MATERIALS ENGINEERING

Code: MAT102 Course Title: MATHEMATICS II Theoretical+Practice: 3+0 ECTS: 4
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