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Information
| Code | MAT232 |
| Name | Mathematics for Statistics - II |
| Term | 2024-2025 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. DENİZ ÜNAL ÖZPALAMUTCU |
| Course Instructor |
1 2 |
Course Goal / Objective
The aim of this lesson is to comprehend mass and moments , integrals over a region of space, elliptic integrals, vector integral calculus, line integrals, divergence theorem, Greens theorem, differential equations, first-order differential equations, homogeneous differential equations, Exact differential equations, linear differential equations, Bernoulli differential equation.
Course Content
In this lesson, the subjects of mass and moments , integrals over a region of space, elliptic integrals, vector integral calculus, line integrals, divergence theorem, Greens theorem, differential equations, first-order differential equations, homogeneous differential equations, exact differential equations, linear differential equations, Bernoulli differential equation are handled.
Course Precondition
None
Resources
Genel Matematik-Mustafa Balcı Analitik Geometri-Mustafa Balcı
Notes
Analitik Geometri- Arif Sabuncuoğlu Ordinary Differantial equations-Greenberg
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Calculates the center of mass and moment of inertia |
| LO02 | Defines the integral over a region |
| LO03 | Solves triple integrals using cylindrical and spherical coordinates |
| LO04 | Refers to the provided integral as an elliptic integral |
| LO05 | Uses the concept of vector at the Integral calculations. |
| LO06 | applies the Green theorem |
| LO07 | Learns the Divergence Theorem |
| LO08 | Recognizes the types of differential equations |
| LO09 | Determines the type of a given differential equation |
| LO10 | solves a given differential equation using the appropriate method |
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 | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Define basic principles and concepts in the field of Law and Economics | 1 |
| 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 | |
| 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 | |
| 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 | 2 |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Have capability on effective and productive work in a group and individually | 4 |
| 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 | 4 |
| 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 | Center of mass and moment of inertia | Lecturing, discussion | Öğretim Yöntemleri: Anlatım |
| 2 | Integrals over a region in space | Lecturing, discussion | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Triple integrals in cylindrical and spherical coordinates. | Lecturing, discussion | Öğretim Yöntemleri: Problem Çözme |
| 4 | Elliptic integrals. | Lecturing, discussion | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Vector integral calculus. | Lecturing, discussion | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 6 | Line integral, Greens theorem in the plane. | Lecturing, discussion | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Divergence Theorem | Lecturing, discussion | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Definitions of differential equations | Lecturing, discussion | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | First-order differential equations. | Lecturing, discussion | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme, Proje Temelli Öğrenme |
| 11 | Homogeneous differential equations. | Lecturing, discussion | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 12 | Exact Differential equations | Lecturing, discussion | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 13 | Linear differential equations | Lecturing, discussion | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 14 | Bernoulli, Riccatti, Clairout differential equations | Lecturing, discussion | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 15 | High-order linear differential equations | Lecturing, discussion | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 16 | Term Exams | exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | exam | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 28 | 28 |
| Total Workload (Hour) | 152 | ||
| Total Workload / 25 (h) | 6,08 | ||
| ECTS | 6 ECTS | ||