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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| STATISTICS PR. | |
| Code | MAT231 |
| Name | Mathematics for Statistics - I |
| Term | 2018-2019 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 | Learn the concepts of conic, circle, ellipse, hyperbola, parabola. |
| LO02 | Specify the quadratic surfaces. |
| LO03 | Have the ability to carry out analytical thinking, analyses and problem solving abilities. |
| 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 | - | Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics | 5 |
| PLO02 | - | Emphasize the importance of Statistics in life | 5 |
| PLO03 | - | Define basic principles and concepts in the field of Law and Economics | 0 |
| PLO04 | - | Produce numeric and statistical solutions in order to overcome the problems | 4 |
| PLO05 | - | Use proper methods and techniques to gather and/or to arrange the data | 3 |
| PLO06 | - | Utilize computer systems and softwares | 1 |
| PLO07 | - | Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events | 1 |
| PLO08 | - | Apply the statistical analyze methods | 0 |
| PLO09 | - | Make statistical inference(estimation, hypothesis tests etc.) | 0 |
| PLO10 | - | Generate solutions for the problems in other disciplines by using statistical techniques | 1 |
| PLO11 | - | Discover the visual, database and web programming techniques and posses the ability of writing programme | 0 |
| PLO12 | - | Construct a model and analyze it by using statistical packages | 0 |
| PLO13 | - | Distinguish the difference between the statistical methods | 0 |
| PLO14 | - | Be aware of the interaction between the disciplines related to statistics | 5 |
| PLO15 | - | Make oral and visual presentation for the results of statistical methods | 3 |
| PLO16 | - | Have capability on effective and productive work in a group and individually | 5 |
| PLO17 | - | 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 | 5 |
| PLO18 | - | Develop scientific and ethical values in the fields of statistics-and scientific data collection | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Basic terms and definations in analytic geometry | literature review | |
| 2 | Polar coordinates, axes, translation, rotation | literature review | |
| 3 | Cones, circle | literature review | |
| 4 | Ellipse, Hyperbola | literature review | |
| 5 | The common definition of conics, parabola | literature review | |
| 6 | Real quadratic (second order) Forms | literature review | |
| 7 | Quadratic surfaces and determination of these surfaces | literature review | |
| 8 | Mid-Term Exam | literature review | |
| 9 | Functions of several variables | literature review | |
| 10 | Differentials, chain rule, implicit differentiation | literature review | |
| 11 | Extrema of functions of two variables | literature review | |
| 12 | Lagrange Multipliers | literature review | |
| 13 | Exact differentials, gradient and directional derivatives | literature review | |
| 14 | Jacobien Matrix | literature review | |
| 15 | Double Integrals | literature review | |
| 16 | Term Exams | literature review | |
| 17 | Term Exams | literature review |
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 | ||