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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| STATISTICS PR. | |
| Code | MAT131 |
| Name | Mathematics - I |
| Term | 2019-2020 Academic Year |
| Semester | 1. 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
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Defining the concepts of limit, continuity and derivative using properties of real numbers and solve maximum and minimum problems using these concepts.
Course Content
Real Numbers and their properties. Functions. Limit, continuity. Properties of continuous functions. Derivative and its applications. Sketching graphs. Finding Maxima and minima. Logarithm, exponential functions, hyperbolic functions. Inverse trigonometric and inverse hyperbolic functions. LHospitals Rule and Taylors Theorem with remainder.
Course Precondition
Resources
Analize Giriş Cilt I (2013),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 number sets |
| LO02 | Recognizes functions |
| LO03 | Can calculate limit of functions |
| LO04 | Can calculate derivatives of functions |
| LO05 | Can draw graphs of functions |
| LO06 | Rocognizes properties of functions |
| LO07 | Recognizes special functions |
| LO08 | Calculate Taylor formula |
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 | 2 |
| 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 | 0 |
| PLO18 | - | Develop scientific and ethical values in the fields of statistics-and scientific data collection | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Sets, operation on sets, sets of number. | Review of the relevant pages from sources | |
| 2 | Inequalities, absolute value | Review of the relevant pages from sources | |
| 3 | Relations, functions and special functions | Review of the relevant pages from sources | |
| 4 | Limit | Review of the relevant pages from sources | |
| 5 | Continuity | Review of the relevant pages from sources | |
| 6 | Definition of derivation and rule of derivations | Review of the relevant pages from sources | |
| 7 | Rolle Theorem, The Mean Value Theorem | Review of the relevant pages from sources | |
| 8 | Mid-Term Exam | Review and problem Solving | |
| 9 | Drawing graph of a function | Review of the relevant pages from sources | |
| 10 | Exponential and logarithmic functions | Review of the relevant pages from sources | |
| 11 | Trigonometri ve hyperbolic functions | Review of the relevant pages from sources | |
| 12 | Properties of inverse trigonometric functions | Review of the relevant pages from sources | |
| 13 | Properties of inverse hyperbolic functions | Review of the relevant pages from sources | |
| 14 | Lhospital rule | Review of the relevant pages from sources | |
| 15 | Taylor Formula | 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 | ||