TÜRKÇE
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Information
| Code | ISB251 |
| Name | Statistical Applications with Mathematica |
| Term | 2024-2025 Academic Year |
| 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 |
| Label | E Elective |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. GÜZİN YÜKSEL |
| Course Instructor |
1 2 |
Course Goal / Objective
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
The scope is to do statistical analysis via Mathematica program.
Course Precondition
None
Resources
1. Enis Sınıksaran, Aylin Aktükün, Matematik ve İstatistik Uygulamalarıyla Mathematica, Türkmen Kitabevi,2009.
Notes
Enis Sınıksaran, Aylin Aktükün, Matematik ve İstatistik Uygulamalarıyla Mathematica, Türkmen Kitabevi,2009.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Validates a theorem using Mathematica. |
| LO02 | Uses in Mathematica interactive graphical visualisations. |
| LO03 | Computes in Mathematica using theoretical facts . |
| LO04 | Uses Mathematica to write scientific papers or master, doctor thesis etc. |
| LO05 | Uses the knowledge by using Mathematica documentation and other sources in the internet. |
| LO06 | Orders the facts about some software programs which are often used in Statistics and Mathematics. |
| LO07 | Simplifies the complex calculations by using software programs, to achieve results and to use of these. |
| LO08 | Orders the 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 Statistics | |
| 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 | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Use proper methods and techniques to gather and/or to arrange the data | 4 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Utilize computer programs and builds models, solves problems, does analyses and comments about problems concerning randomization | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Apply the statistical analyze methods | 4 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Make statistical inference (estimation, hypothesis tests etc.) | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Generate solutions for the problems in other disciplines by using statistical techniques and gain insight | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Discover the visual, database and web programming techniques and posses the ability of writing programs | |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Distinguish the difference between the statistical methods | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Make oral and visual presentation for the results of statistical methods | 4 |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Have capability on effective and productive work in a group and individually | 2 |
| PLO14 | 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 | |
| PLO15 | 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 | ||