Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF LETTERS & SCIENCE / MAT102 - MATHEMATICS

Code: MAT102 Course Title: ANALYSIS II Theoretical+Practice: 5+0 ECTS: 5
Year/Semester of Study 1 / Spring Semester
Level of Course 1st Cycle Degree Programme
Type of Course Compulsory
Department MATHEMATICS
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer ZARİFE ZARARSIZ (zarifezararsiz@nevsehir.edu.tr)
Name of Lecturer(s) İHSAN SOLAK,
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
The purpose of this course is to give basic information about derivatives and the Riemann integral.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 Continuity and differentialability users are learnt. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data.
PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education.
Examination
LO-2 Maximum and minimum of functions of one variable is known. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data.
PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education.
Examination
LO-3 Learns the definition of integral PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education.
Examination
LO-4 PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge.
PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education.
Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Continuity and differentialability, In taking derivatives of the general rules.Derivatives of elementary functions, Indefinite expressions, Maximum and minimum of functions of one variable. Graphs of functions of one variable, Differentiation of a function, Concept of integral, Indefinite integration of functions of one variable, Disruption of intervals, staircase function,?ntegral of staircase functions Riemann integral Integral meaning Riemann integral, Quadrature by the help of integral, Arc length, Volume calculation, Quadrature of rotational surfaces, Calculation of some limits by the help of integral.
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Continuity and differentialability oral represantation, questioning - answering, problem solving
2 In taking derivatives of the general rules.Derivatives of elementary functions oral represantation, questioning - answering, problem solving
3 Indefinite expressions oral represantation, questioning - answering, problem solving
4 Maximum and minimum of functions of one variable. Graphs of functions of one variable oral represantation, questioning - answering, problem solving
5 Maximum and minimum of functions of one variable. Graphs of functions of one variable oral represantation, questioning - answering, problem solving
6 Differentiation of a function oral represantation, questioning - answering, problem solving
7 Differentiation of a function oral represantation, questioning - answering, problem solving
8 mid-term exam
9 Concept of integral, Indefinite integration of functions of one variable oral represantation, questioning - answering, problem solving
10 Concept of integral, Indefinite integration of functions of one variable oral represantation, questioning - answering, problem solving
11 Disruption of intervals, staircase function,İntegral of staircase functions oral represantation, questioning - answering, problem solving
12 Riemann integral, Integral meaning Riemann integral oral represantation, questioning - answering, problem solving
13 Quadrature by the help of integral, Arc length oral represantation, questioning - answering, problem solving
14 Volume calculation, Quadrature of rotational surfaces oral represantation, questioning - answering, problem solving
15 Calculation of some limits by the help of integral oral represantation, questioning - answering, problem solving
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 matematik analiz, mustafa balcı
2 Analize Giriş, Giacomo SABAN
Required Course instruments and materials
Books and internet.

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 15 2 60

Student Work Load
Type of Work Weekly Hours Number of Weeks Work Load
Weekly Course Hours (Theoretical+Practice) 5 14 70
Outside Class
       a) Reading 4 5 20
       b) Search in internet/Library 3 5 15
       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 2 8 16
mid-term exam 2 1 2
Own study for final exam 5 5 25
final exam 2 1 2
0
0
Total work load; 150