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| Course Description |
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| Course Name |
: |
Mathematics For Statistics - I |
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| Course Code |
: |
MAT231 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
2 |
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| Course Semester |
: |
Fall (16 Weeks) |
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| ECTS |
: |
6 |
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| Name of Lecturer(s) |
: |
Assoc.Prof.Dr. AHMET TEMİZYÜREK
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| Learning Outcomes of the Course |
: |
Learn the concepts of conic, circle, ellipse, hyperbola, parabola.
Specify the quadratic surfaces.
Have the ability to carry out analytical thinking, analyses and problem solving abilities.
Use information technology for solving problems.
Understand and apply application of mathematics in real life.
Know application of derivative and apply it.
Perform and solve limits and derivatives.
Know and apply the basic functions.
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|
| Mode of Delivery |
: |
Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
Teaching the fundamental mathematical concepts for statistical education and applying the these concepts to statistics. |
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| Course Contents |
: |
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 |
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| Language of Instruction |
: |
Turkish |
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| Work Place |
: |
Faculty of Arts and Sciences Annex Classrooms |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
Basic terms and definations in analytic geometry |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
2 |
Polar coordinates, axes, translation, rotation |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
3 |
Cones, circle |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
4 |
Ellipse, Hyperbola |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
5 |
The common definition of conics, parabola |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
6 |
Real quadratic (second order) Forms |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
7 |
Quadratic surfaces and determination of these surfaces |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
8 |
Mid-term exam |
Review the topics discussed in the lecture notes and sources |
Written exam |
|
9 |
Functions of several variables |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
10 |
Differentials, chain rule, implicit differentiation |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
11 |
Extrema of functions of two variables |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
12 |
Lagrange Multipliers |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
13 |
Exact differentials, gradient and directional derivatives |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
14 |
Jacobien Matrix |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
15 |
Double Integrals |
Reading the source ,problem solving |
Face to face description method,Solving problems, Discussion |
|
16/17 |
Final Exam |
Review the topics discussed in the lecture notes and sources |
Written exam |
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|
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Analize Giriş ,Cilt 2, F.Akdeniz, Ünlü Y., Dönmez D. Nobel Kitabevi,2006.
Analitik Geometri, Kaya R., Bilim Teknik Yayınevi, 2002.
Calculus with Analytic Geometry,Silverman R.A.,Prentice Hall Inc.,London.,1985
Yüksek Matematik Problemleri, Cilt1, Karadeniz A., Çağlayan Kitabevi,1991
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| |
| Required Course Material(s) | |
|
|
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
80 |
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Homeworks/Projects/Others |
5 |
20 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
| |
|
Final Assessments
|
100 |
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Rate of Final Assessments to Success
|
60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Utilize computer systems and softwares |
2 |
|
2 |
Apply the statistical analyze methods |
0 |
|
3 |
Make statistical inference(estimation, hypothesis tests etc.) |
0 |
|
4 |
Generate solutions for the problems in other disciplines by using statistical techniques |
0 |
|
5 |
Discover the visual, database and web programming techniques and posses the ability of writing programme |
0 |
|
6 |
Construct a model and analyze it by using statistical packages |
0 |
|
7 |
Distinguish the difference between the statistical methods |
0 |
|
8 |
Be aware of the interaction between the disciplines related to statistics |
5 |
|
9 |
Make oral and visual presentation for the results of statistical methods |
0 |
|
10 |
Have capability on effective and productive work in a group and individually |
3 |
|
11 |
Develop scientific and ethical values in the fields of statistics-and scientific data collection |
0 |
|
12 |
Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics |
5 |
|
13 |
Emphasize the importance of Statistics in life |
0 |
|
14 |
Define basic principles and concepts in the field of Law and Economics |
0 |
|
15 |
Produce numeric and statistical solutions in order to overcome the problems |
4 |
|
16 |
Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events |
0 |
|
17 |
Use proper methods and techniques to gather and/or to arrange the data |
1 |
|
18 |
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 |
0 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
|
Class Time (Exam weeks are excluded) |
14 |
4 |
56 |
|
Out of Class Study (Preliminary Work, Practice) |
14 |
3 |
42 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
5 |
2 |
10 |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
20 |
20 |
|
Final Exam |
1 |
20 |
20 |
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Total Workload: | 148 |
| Total Workload / 25 (h): | 5.92 |
| ECTS Credit: | 6 |
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