TÜRKÇE
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Information
| Code | ISB251 |
| Name | Statistical Applications with Mathematica |
| Semester | 3. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. GÜZİN YÜKSEL |
Course Goal
The aim of this lecture is to introduce Mathematica Software program and to show how to to make applications of some basic lessons such as called Statistics, Calculus and differantial equations by using Mathematica for Statistics student.
Course Content
Introduction, listing, graphics, calculus, statistics.
Course Precondition
None
Resources
1. Enis Sınıksaran, Aylin Aktükün, Matematik ve İstatistik Uygulamalarıyla Mathematica, Türkmen Kitabevi,2009.
Notes
Course Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | can learn the content of a theorem from a lecture or a seminar in the form which is useful for symbolic or numeric computations or graphical vizualization. |
| LO02 | can use in Mathematica interactive graphical visualisations. |
| LO03 | can compute in Mathematica using theoretical facts . |
| LO04 | can use Mathematica to write scientific papers or master, doctor thesis etc. |
| LO05 | can use the knowledge by using Mathematica documentation and other sources in the internet. |
| LO06 | can learn about some software programs which are often used in Statistics and Mathematics. |
| LO07 | Must be able to oversimplification of complex calculations by using software programs, to achieve results and to use of these. |
| LO08 | Must be able to learn main issues of calculations by using computer applications ant to make an introduction to the programming |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics | 2 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Emphasize the importance of Statistics in life | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Define basic principles and concepts in the field of Law and Economics | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Produce numeric and statistical solutions in order to overcome the problems | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Use proper methods and techniques to gather and/or to arrange the data | 4 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Utilize computer systems and softwares | 5 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events | 4 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Apply the statistical analyze methods | 4 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Make statistical inference(estimation, hypothesis tests etc.) | 3 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Generate solutions for the problems in other disciplines by using statistical techniques | 4 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Discover the visual, database and web programming techniques and posses the ability of writing programme | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Construct a model and analyze it by using statistical packages | 5 |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Distinguish the difference between the statistical methods | |
| PLO14 | Beceriler - Bilişsel, Uygulamalı | Be aware of the interaction between the disciplines related to statistics | 4 |
| PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Make oral and visual presentation for the results of statistical methods | 5 |
| PLO16 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Have capability on effective and productive work in a group and individually | 2 |
| PLO17 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | 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 | |
| PLO18 | Yetkinlikler - Öğrenme Yetkinliği | Develop scientific and ethical values in the fields of statistics-and scientific data collection |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | An introduction the Mathematica software program | Reading source books-Application | Öğretim Yöntemleri: Tartışma, Alıştırma ve Uygulama |
| 2 | Basic numerical calculations and some mathematical functions in Mathematica | Reading source books-Application | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 3 | Defining variables and using the parenthesis | Reading source books-Application | Öğretim Yöntemleri: Tartışma, Alıştırma ve Uygulama |
| 4 | Symbolic computation and numerical computation | Reading source books-Application | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 5 | Defining functions and constants | Reading source books-Application | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 6 | Solving Equations and linear equation systems | Reading source books-Application | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 7 | Lists in Mathematica | Reading source books-Application | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | Review the topics discussed in the lecture notes | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Lists in Mathematica II | Reading source books-Application | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 10 | Basic plotting and defining plot options in Mathematica | Reading source books-Application | Öğretim Yöntemleri: Tartışma, Alıştırma ve Uygulama |
| 11 | Differentiation , Integration and Limits | Reading source books-Application | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 12 | Vectors , Matrices and Basic Matrix Operations in Mathematica | Reading source books-Application | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 13 | Descriptive statistics | Reading source books-Application | Öğretim Yöntemleri: Tartışma, Alıştırma ve Uygulama |
| 14 | Confidence intervals and hypothesis testing | Reading source books-Application | Öğretim Yöntemleri: Tartışma, Alıştırma ve Uygulama |
| 15 | Loops | Reading source books-Application | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 16 | Term Exams | Review the topics discussed in the lecture notes | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review the topics discussed in the lecture notes | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 6 | 6 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 78 | ||
| Total Workload / 25 (h) | 3,12 | ||
| ECTS | 3 ECTS | ||