COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Mathematics - I * MAT   131 1 4 5 7

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Assoc.Prof.Dr. Nazar Şahin ÖĞÜŞLÜ
Instructors
Doç.Dr.NAZAR ŞAHİN ÖĞÜŞLÜ1. Öğretim Grup:A
Doç.Dr.NAZAR ŞAHİN ÖĞÜŞLÜ2. Öğretim Grup:A
 
Assistants
Goals
Defining the concepts of limit, continuity and derivative using properties of real numbers and solve maximum and minimum problems using these concepts.
Content
Real Numbers and their properties. Functions. Limit, continuity. Properties of continuous functions. Derivative and its applications. Sketching graphs. Finding Maxima and minima. Logarithm, exponential functions, hyperbolic functions. Inverse trigonometric and inverse hyperbolic functions. L´ Hospital´ s Rule and Taylor´s Theorem with remainder.

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics
X
2
Emphasize the importance of Statistics in life
X
3
Define basic principles and concepts in the field of Law and Economics
X
4
Produce numeric and statistical solutions in order to overcome the problems
X
5
Use proper methods and techniques to gather and/or to arrange the data
X
6
Utilize computer systems and softwares
X
7
Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events
X
8
Apply the statistical analyze methods
X
9
Make statistical inference(estimation, hypothesis tests etc.)
X
10
Generate solutions for the problems in other disciplines by using statistical techniques
X
11
Discover the visual, database and web programming techniques and posses the ability of writing programme
X
12
Construct a model and analyze it by using statistical packages
X
13
Distinguish the difference between the statistical methods
X
14
Be aware of the interaction between the disciplines related to statistics
X
15
Make oral and visual presentation for the results of statistical methods
X
16
Have capability on effective and productive work in a group and individually
X
17
Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs
18
Develop scientific and ethical values in the fields of statistics-and scientific data collection
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Sets, operation on sets, sets of number. Review of the relevant pages from sources
2 Inequalities, absolute value Review of the relevant pages from sources
3 Relations, functions and special functions Review of the relevant pages from sources
4 Limit Review of the relevant pages from sources
5 Continuity Review of the relevant pages from sources
6 Definition of derivation and rule of derivations Review of the relevant pages from sources
7 Rolle Theorem, The Mean Value Theorem Review of the relevant pages from sources
8 Midterm exam Review and problem Solving
9 Drawing graph of a function Review of the relevant pages from sources
10 Exponential and logarithmic functions Review of the relevant pages from sources
11 Trigonometri ve hyperbolic functions Review of the relevant pages from sources
12 Properties of inverse trigonometric functions Review of the relevant pages from sources
13 Properties of inverse hyperbolic functions Review of the relevant pages from sources
14 Lhospital rule Review of the relevant pages from sources
15 Taylor Formula Review of the relevant pages from sources
16-17 Final exam Review and problem Solving

Recommended or Required Reading
TextbookAnalize Giriş Cilt I (2013),Doğan Dönmez, Yusuf Ünlü, Fikri Akdeniz.
Additional Resources
Calculus and Analytic Geometry, Sherman K. Stein, Mc Graw Hill.