TÜRKÇE
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Information
| Code | ZTP107 |
| Name | Mathamatics |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. MEHMET YÜKSEL |
Course Goal
The aim of this course is to analyze the problems related to sets, numbers, equations, logarithmic, trigonometric and hyperbolic functions, and complex numbers which are the most important subjects of mathematics. Solving problems related to logarithmic, trigonometric, exponential functions, inverse-trigonometric functions, specially defined functions. It is to take limits of a variable, functions, and interpret the results. Definition of continuity, continuity from right and left, properties of continuous functions, determining types of continuity, geometric interpretation of derivative, rules of derivation, taking higher order derivatives, calculating basic integration rules and area and volume integral.
Course Content
Sets, Numbers and Number Sets, Identities, Equations and Cartesian Coordinate System, Absolute Value and Inequalities, Functions and Properties of Functions, Polynomial Functions, Parabola and Graphs, Exponential and logarithmic Functions, Trigonometric and Hyperbolic Functions, Complex Numbers, Limit, Limit Theorems and Continuity, Differential and Derivative, Applications of Derivative, Definite and Indefinite Integrals, Applications of Integral
Course Precondition
There is no prerequisite for this course.
Resources
Lecture presentations
Notes
Lecture Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Recognize the sets and do operations related to sets. |
| LO02 | Beginning with counting numbers, perform arithmetic and algebraic operations on natural numbers, exact numbers, rational numbers and irrational numbers. |
| LO03 | Express the basic identities used in the solution of equations and apply them to solution of equations. |
| LO04 | Solve equations related to absolute value and inequalities. |
| LO05 | Function, logarithm, trigonometric concepts can explain. |
| LO06 | Solve equations related to polynomial functions and draws the graphics of parabola. |
| LO07 | Recognize exponential and logarithmic functions and perform operations. |
| LO08 | Learn trigonometric and hyperbolic functions. |
| LO09 | Learn complex numbers and performs operations on complex numbers. |
| LO10 | Know limit, limit theorems and continuity rules. |
| LO11 | Solve differential equations. |
| LO12 | Know the derivative and derivative rules. |
| LO13 | Learn the L Hospital rule. |
| LO14 | Know definite and indefinite integrals |
| LO15 | Know the integral and integral rules. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has information on basic characteristics (anatomic, morphologic,physiological and biological) of farm animals | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has information on planning animal housing for environmental aspects and animal species, about forage production and storage for environmental conditions and different species, making plans about animal breeding | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Has genetic and statistical information which can be the basis of animal improvement .Has adequate knowledge of industrial animal farming | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Has information on alternative production systems | |
| PLO05 | Bilgi - Kuramsal, Olgusal | To get technical knowledge in his/her field | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Knows the techniques in Animal Breeding and applies. Has information about small cattle raising and poultry farming and nutrition and applies.Transfers genetic and statistical information that can be the basis of animal breeding to animal production | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Finds the reasons of the technical and economical problems that can adversely affect the quality and capacity levels desired in Animal Science and develops solutions | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Obtains information in the field of Animal Science, researches, evaluates, records,consults,plans projects and applies | 1 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Uses IT to get new information in animal production | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Transfers knowledge to people who work in the field at various levels, has communication skills,has the self -confidence in providing information and following technical developments | |
| PLO11 | Bilgi - Kuramsal, Olgusal | He is aware of the impacts of animal science and agricultural engineering applications on health, environment and safety in the comprehensive and social dimensions and the problems of the times that are reflected in the field of engineering. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to Mathamatics | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 2 | Numbers and Number Sets | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 3 | Identities, Equations and Cartesian Coordinate System | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 4 | Absolute Value and Inequalities | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 5 | Functions and Properties of Functions (Composition and Inverse Functions, Function Graphs) | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 6 | Polynomial Functions, Parabola and Graphs | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 7 | Exponential and logarithmic Functions | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 8 | Mid-Term Exam | Course book and other sources | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Trigonometric and Hyperbolic Functions | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 10 | Complex Numbers | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 11 | Limit, Limit Theorems and Continuity | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 12 | Differential and Derivative | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 13 | Applications of Derivative | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 14 | Definite and Indefinite Integrals | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 15 | Applications of Integral | Textbook and Resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 16 | Term Exams | Course book and other sources | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Course book and other sources | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||