TÜRKÇE
ENGLISH
Information
| Code | MAT231 |
| Name | Mathematics for Statistics - I |
| Term | 2024-2025 Academic Year |
| Semester | 3. 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 |
Prof. Dr. SELAHATTİN KAÇIRANLAR
(A Group)
(Ins. in Charge)
|
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 | literature review | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 2 | Polar coordinates, axes, translation, rotation | literature review | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Cones, circle | literature review | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 4 | Ellipse, Hyperbola | literature review | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | The common definition of conics, parabola | literature review | Öğretim Yöntemleri: Problem Çözme |
| 6 | Real quadratic (second order) Forms | literature review | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 7 | Quadratic surfaces and determination of these surfaces | literature review | Ölçme Yöntemleri: Yazılı Sınav |
| 8 | Mid-Term Exam | literature review | Öğretim Yöntemleri: Anlatım |
| 9 | Functions of several variables | literature review | Öğretim Yöntemleri: Anlatım |
| 10 | Differentials, chain rule, implicit differentiation | literature review | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 11 | Extrema of functions of two variables | literature review | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 12 | Lagrange Multipliers | literature review | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 13 | Exact differentials, gradient and directional derivatives | literature review | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 14 | Jacobien Matrix | literature review | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 15 | Double Integrals | literature review | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 16 | Term Exams | literature review | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | literature review | 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 | ||