Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
STATISTICS AND PROBABILITY IME 205 3 4 + 2 5 6
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Dr.Öğr.Üyesi MİTHAT TAKUNYACI Dersi Verenler Arş.Gör.Dr. ÖZKAN ERGENE Dersin Yardımcıları Research Assistant Emine Nur BİLGİÇ Dersin Kategorisi Alanına Uygun Temel Öğretim Dersin Amacı The aim of this course is to analyse some statistic concepts to develop and understand which techincs are used on statistic and then give some basic concepts related statistic, transform meaningful to collected datas by the help of table and graphs, make analysis and practice related descriptive statistics, bring student in skill on simple correlation analysis and comments of these analysis. Dersin İçeriği Basic concepts, frequency distributions, histogram and frequency polygon,show the categorical datas by graphand applications. Measures of central tendency of parametric and non-parametric and applications. Measures of distribution of parametric and non-parametric and applications. Skewness and kurtosis. Basic concepts in probability theory, rule of addition and product, bayes theory, chart of probability distribution, expected value and applications. Basic concepts in discrete probability distribution, binom, poisson and hypergeometric distribution and applications.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - Express and apply concept of probability and probability axioms. 1 - 4 - A - C - 2 - Solve problems related permutation, combinations, ordered and unordered partitions, Binom Theorem. 1 - 4 - A - C - 3 - Solve problems related concept of random variable, distribution of discrete and continuous random variable. 1 - 4 - A - C - 4 - Explain and apply geometric, negative binom distributions and their properties 1 - 4 - A - C - 5 - Apply and interpret tests of hypostesis 1 - 4 - A - C - 6 - Apply and interpret measures of central tendency 1 - 4 - A - C -
 Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Permutation, combinations, ordered and unordered partitions, Binom Theorem
2 Probability of a event and probabiltiy axioms, some probability rules,conditional probability, independent events, Bayes Theorem
3 Concept of random variable, distribution of discrete and continuous random variable
4 Two-dimensional random variable, expected value and properties,Variance and properties of a random variable
5 Functions of random variables and characteristic functions
6 Bernoulli, binom, polynomial distributions and properties,geometric, negative binom distributions and properties
7 Hypergeometric distributions and properties,Uniform distributions and properties
8 Normal distribution, standard normal distribution, properties of standard normal curve
9 Mid – Term Exam
10 Normal approaching to binom distribution, generating moment function of normal distribution
11 Regular, exponential, gama and beta distribution and relations among distributions
12 Concept of exemplification and sample selection ,frequency distributions, showing datas with graphs
13 Measures of central tendency ,measures of variation, standard error and confidence intervals
14 Tests of hypostesis, deciding ,test of difference and analysis of chi-square

Ders Notu
Ders Kaynakları

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Have general information about basic concept, theory and applicaitons on mathematics X
2 Have ability of mathematical thinking and apply to real life X
3 Classify a problem systematically also create comprehensible, understandable and objective solutions X
4 Establish relationship among events looked different X
5 Get clear and exact ideas about relationships among time, place and numbers X
6 Use principles of scientific method on problem solving X
7 Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed X
8 Think creative and critical X
9 Improve methods as fast, understandable and practical to faced problems X
10 Have information about national and international modern problems
11 Get life long learning behaviour X
12 Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System
13 Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers.
14 Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment.
15 Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 50
KisaSinav 1 15
Odev 1 20
KisaSinav 2 15
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 4 64
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 20 20
Assignment 1 10 10
Performance Task (Laboratory) 1 10 10
Toplam İş Yükü 152
Toplam İş Yükü /25(s) 6.08
Dersin AKTS Kredisi 6.08
; ;