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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| STATISTICS PR. | |
| Code | MAT201 |
| Name | Mathematics for Statistics |
| Term | 2026-2027 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. SELMA TOKER KUTAY |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
The aim of this lesson is to comprehend the subjects of polar coordinates, axes, translation, rotation, cones, circle, ellipse, hyperbola, the common definition of conics, parabola, Real quadratic (second order) Forms, Quadratic surfaces , Functions of several variables, differentials, chain rule, implicit differentiation, extrema of functions of two variables, lagrange multipliers, exact differentials, gradient and directional derivatives, Jacobien matrix, double integrals.
Course Content
The subjects of polar coordinates, axes, translation, rotation, cones, circle, ellipse, hyperbola, the common definition of conics, parabola, real quadratic (second order) forms, quadratic surfaces , functions of several variables, differentials, chain rule, implicit differentiation, extrema of functions of two variables, Lagrange multipliers, exact differentials, gradient and directional derivatives, Jacobien matrix, double Integrals are the contents of this lesson.
Course Precondition
None
Resources
Analitik Geometri- Mustafa Balcı Genel Matematik-Mustafa Balcı Calculus-Thomas
Notes
Analitik Geometri- Arif Sabuncuoğlu Calculus-Thomas
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Classify the surface of conic, circle, ellipse, hyperbola, parabola. |
| LO02 | Specify the quadratic surfaces. |
| LO03 | Have the ability to carry out analytical thinking and problem solving. |
| LO04 | Use information technology for solving problems. |
| LO05 | Understand and apply application of mathematics in real life. |
| LO06 | Know application of derivative and apply it. |
| LO07 | Perform and solve limits and derivatives. |
| LO08 | Know and apply the basic functions. |
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 | |
| 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 | Basic terms and definations in analytic geometry | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 2 | Polar coordinates, axes, translation, rotation | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 3 | Cones, circle | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 4 | Ellipse, Hyperbola | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 5 | The common definition of conics, parabola | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 6 | Real quadratic (second order) Forms | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 7 | Quadratic surfaces and determination of these surfaces | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | General review | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Functions of several variables | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 10 | Differentials, chain rule, implicit differentiation | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 11 | Extrema of functions of two variables | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 12 | Lagrange Multipliers | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 13 | Exact differentials, gradient and directional derivatives | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 14 | Jacobien Matrix | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 15 | Double Integrals | Review of the previous lecture and the literature | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 16 | Term Exams | General review | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | General review | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 9 | 9 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 111 | ||
| Total Workload / 25 (h) | 4,44 | ||
| ECTS | 4 ECTS | ||