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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| STATISTICS PR. | |
| Code | MAT132 |
| Name | Mathematics II |
| Term | 2018-2019 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 4-2 (T-A) (17 Week) |
| ECTS | 7 ECTS |
| National Credit | 5 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. NAZAR ŞAHİN ÖĞÜŞLÜ |
| Course Instructor |
Doç. Dr. NAZAR ŞAHİN ÖĞÜŞLÜ
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Rocognize sequences and series. Recognize convergent divergent series.Calculate definite and indefinite integral. Calculating area with rectangular and polar coordinates.
Course Content
Sequences and series, convergent divergent series, definite and indefinite integral, area, volume and arc length with rectangular and polar coordinates.
Course Precondition
Resources
Analize Giriş Cilt II (2012),Doğan Dönmez, Yusuf Ünlü, Fikri Akdeniz
Notes
Calculus and Analytic Geometry, Sherman K. Stein, Mc Graw Hill.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Recognizes sequences and series. |
| LO02 | Recognize convergent and divergent series. |
| LO03 | Can calculate definite and indefinite integrals. |
| LO04 | Can calculate area in rectangular coordinate. |
| LO05 | Can calculate area in polar coordinate. |
| LO06 | Can calculate the volume of solid. |
| LO07 | Can calculate surface area of solid. |
| LO08 | Can calculate arc length of a curve. |
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 | 3 |
| PLO02 | - | Emphasize the importance of Statistics in life | 1 |
| PLO03 | - | Define basic principles and concepts in the field of Law and Economics | 1 |
| PLO04 | - | Produce numeric and statistical solutions in order to overcome the problems | 1 |
| PLO05 | - | Use proper methods and techniques to gather and/or to arrange the data | 1 |
| 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 | 1 |
| PLO09 | - | Make statistical inference(estimation, hypothesis tests etc.) | 1 |
| 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 | 1 |
| PLO12 | - | Construct a model and analyze it by using statistical packages | 1 |
| PLO13 | - | Distinguish the difference between the statistical methods | 1 |
| PLO14 | - | Be aware of the interaction between the disciplines related to statistics | 1 |
| PLO15 | - | Make oral and visual presentation for the results of statistical methods | 1 |
| PLO16 | - | Have capability on effective and productive work in a group and individually | 3 |
| 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 | 1 |
| PLO18 | - | Develop scientific and ethical values in the fields of statistics-and scientific data collection | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Sequences and series | Review of the relevant pages from sources | |
| 2 | Convergency of series and power series | Review of the relevant pages from sources | |
| 3 | Polar coordinates and parametric equations | Review of the relevant pages from sources | |
| 4 | Basic rule of integral | Review of the relevant pages from sources | |
| 5 | Integration by parts | Review of the relevant pages from sources | |
| 6 | Integrals of rational functions | Review of the relevant pages from sources | |
| 7 | Integral of trigonometric functions | Review of the relevant pages from sources | |
| 8 | Mid-Term Exam | Review and problem solving | |
| 9 | Definite Integral | Review of the relevant pages from sources | |
| 10 | Improper integral | Review of the relevant pages from sources | |
| 11 | Area in rectangular coordinates | Review of the relevant pages from sources | |
| 12 | Area in polar coordinates | Review of the relevant pages from sources | |
| 13 | Volume | Review of the relevant pages from sources | |
| 14 | Arc length | Review of the relevant pages from sources | |
| 15 | Surface area | Review of the relevant pages from sources | |
| 16 | Term Exams | Review and problem solving | |
| 17 | Term Exams | Review and problem solving |
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 | 18 | 18 |
| Final Exam | 1 | 36 | 36 |
| Total Workload (Hour) | 166 | ||
| Total Workload / 25 (h) | 6,64 | ||
| ECTS | 7 ECTS | ||