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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| STATISTICS PR. | |
| Code | MAT231 |
| Name | Mathematics for Statistics - I |
| Term | 2017-2018 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 |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. DENİZ ÜNAL ÖZPALAMUTCU |
| Course Instructor |
Prof. Dr. DENİZ ÜNAL ÖZPALAMUTCU
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Basic terms and definitions, 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
Basic terms and definitions, 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 Precondition
Yok
Resources
Notes
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 | ||
| 2 | Polar coordinates, axes, translation, rotation | ||
| 3 | Cones, circle | ||
| 4 | Ellipse, Hyperbola | ||
| 5 | The common definition of conics, parabola | ||
| 6 | Real quadratic (second order) Forms | ||
| 7 | Quadratic surfaces and determination of these surfaces | ||
| 8 | Mid-term exam | ||
| 9 | Functions of several variables | ||
| 10 | Differentials, chain rule, implicit differentiation | ||
| 11 | Extrema of functions of two variables | ||
| 12 | Lagrange Multipliers | ||
| 13 | Exact differentials, gradient and directional derivatives | ||
| 14 | Jacobien Matrix | ||
| 15 | Double Integrals | ||
| 16 | Final Exam | ||
| 17 | Final Exam |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | ||