Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF LETTERS & SCIENCE / MAT101 - MATHEMATICS

Code: MAT101 Course Title: ANALYSIS I Theoretical+Practice: 5+0 ECTS: 5
Year/Semester of Study 1 / Fall 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) NECDET BATIR,
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
This course is designed to provide students with basic knowledge of analysis.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 Mathematical symbols and quantifier logic users are learnt. PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts.
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 Set and number concepts are known. 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 Intervals, Nested intervals, accumulation point, Sequences, Convergence of Sequences, limsup and liminf concepts are learnt. 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 Continuity concept is known. 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
Some of the symbols of mathematics and logic quantifiers, Methods of proof, Set and Number Concepts, Function and logarithmic function, trigonometric function, exponential function, inverse trigonometric function, hyperbolic functions, Linear-point sentences, inf and Sup, Intervals, Nested intervals, accumulation point, The concept of neighborhood, Sequences, convergence concept of sequences, limsup and liminf concepts, limits of functions, continuous functions, and related theorems, uniform continuity, derivative.
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Mathematical symbols and logical quantifiers, The methos of proofs oral represantation, questioning - answering, problem solving
2 The concept of the set and number oral represantation, questioning - answering, problem solving
3 The concept function and logarithma oral represantation, questioning - answering, problem solving
4 Trigonometric functions , hyperpolic functions, invers function and exponential function oral represantation, questioning - answering, problem solving
5 The concept of the linear point set, Inf, Sup and neighborliness, accumulation points oral represantation, questioning - answering, problem solving
6 Sequences, convergence, and limsup, liminf oral represantation, questioning - answering, problem solving
7 Sequences, convergence, and limsup, liminf oral represantation, questioning - answering, problem solving
8 mid-term exam
9 Limits of the functions oral represantation, questioning - answering, problem solving
10 Continuos functions oral represantation, questioning - answering, problem solving
11 Continuos functions oral represantation, questioning - answering, problem solving
12 Theorems on the continuos functions oral represantation, questioning - answering, problem solving
13 Uniform continuos functions oral represantation, questioning - answering, problem solving
14 The derivate oral represantation, questioning - answering, problem solving
15 The derivate oral represantation, questioning - answering, problem solving
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Analize Giriş, Giacomo SABAN
2 matematik analiz, mustafa balcı
Required Course instruments and materials
The books of analysis

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) 5 14 70
Outside Class
       a) Reading 3 5 15
       b) Search in internet/Library 4 5 20
       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