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Information
| Code | BKP107 |
| Name | Mathematics |
| Term | 2024-2025 Academic Year |
| 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 | Arş.Gör.Dr. MELEK YAĞCI |
| Course Instructor |
Doç. Dr. SİBEL AKÇA ÖZALP
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this course is to make students understand the functions, function types, limits, derivative of algebraic functions, applications of derivative, exponential and logarithmic functions, trigonometric and hyperbolic functions, LHopital rule and Taylor Formula.
Course Content
In this course functions, function types, limits, derivative of algebraic functions, applications of derivative, exponential and logarithmic functions, trigonometric and hyperbolic functions, LHopital rule and Taylor Formula are descibed.
Course Precondition
There is no prerequisite for this course.
Resources
Lecture presentations
Notes
Lecture Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Recognize number sets. |
| LO02 | Recognize the function concept and its types. |
| LO03 | Recognize trigonometric functions. |
| LO04 | Learn the concept of limit and limit theorems. |
| LO05 | Learn the concept of continuity and continuity theorems. |
| LO06 | Comprehends the derivative and geometrical meaning. |
| LO07 | Lists differentiation rules. |
| LO08 | Finds the extremities of a function. |
| LO09 | Learns Rolle Theorem and Mean Value Theorems. |
| LO10 | Understands the issues of bareness and asymptot. |
| LO11 | draws the graph of a function. |
| LO12 | Learn exponential and logarithmic functions. |
| LO13 | Learns derivatives and graphs of trigonometric and hyperbolic functions. |
| LO14 | Learns the LHopital rule. |
| LO15 | Learns the undefined forms and the Taylor formula. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have sufficient theoretical knowledge and infrastructure in the Field of Basic Science and Basic Engineering and Plant Protection. | 5 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Gains knowledge of the basic issues of Plant Protection, such as the biology, ecology, systematics, and control methods of diseases, pests and weeds that cause yield loss in cultivated crops. | |
| PLO03 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | It provides the correct application by learning the methods of warfare, which are included in the discipline of Plant Protection, both in theory and in practice. By using the knowledge he has for the solution of plant protection problems, he/she conducts field studies, collects data, evaluates, reports and has the ability to use the most appropriate control method by modeling the modern design by prioritizing the protection and sustainability of natural resources. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | In the Plant Protection Area, it detects any factor that causes yield loss during plant cultivation or any environmental factor limiting plant cultivation based on the literature, and can develop solution suggestions by using all kinds of technological tools and equipment suitable for the Plant Protection area. | |
| PLO05 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | In the Plant Protection Area, for a problem encountered, he can set up a field trial alone, use a laboratory, and diagnose diseases, pests and weeds in the laboratory. Gains the ability to produce for research purposes, make analysis, evaluate the results, interpret, report and present them in writing and orally. | |
| PLO06 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | n addition to carrying out individual studies on plant protection issues, she can also work in interdisciplinary and interdisciplinary teams, thus gaining professional ethical responsibility. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Finding, evaluating, understanding and transferring old and new information in the field of Plant Protection by using the necessary technologies, writing reports, consulting and being an expert, writing prescriptions for plant protection products used in the control of diseases, pests and weeds, making effective presentations, clear and understandable Have the ability to take and give instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Lifelong learning, access to information, monitoring and monitoring of developments in science and technology in discipline-specific issues such as detection and diagnosis of diseases, pests and weeds, determination of the control method, eradication, selection of the plant protection product to be used, application method and time in Plant Protection. has the ability to constantly renew itself. | |
| PLO09 | Yetkinlikler - Alana Özgü Yetkinlik | Have knowledge about the ethical principles of plant protection and interdisciplinary issues, professional and ethical responsibility, and laws and regulations used in engineering practices. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Knowledge of practices in professional life, such as writing and managing projects in the field of Plant Protection, making risk analysis and deciding on the way of struggle; have knowledge about entrepreneurship, awareness about innovation, sustainable development. | |
| PLO11 | Yetkinlikler - Öğrenme Yetkinliği | Knowledge of the effects of Plant Protection practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of Plant Protection, will have awareness of the legal consequences of Plant Protection solutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Basic Concepts, Real Numbers, Number Axis, Intervals, Inequalities | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 2 | Functions, Composition, Functions Inverse Functions and Graphs | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 3 | Trigonometric Functions | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 4 | Definition and Calculation Limit, Limit theorems, Infinite Limits, Uncertainties | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 5 | Continuity, Discontinuity, and their types | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 6 | Derivatives and Derivative Rules | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 7 | Derivatives of Trigonometric Functions | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Enhancements and Differentials | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 10 | Extreme Values of Functions | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 11 | Rolle Theorem, Mean Value Theorem | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 12 | Graphing a function | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 13 | Exponential and Logarithmic Functions | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 14 | Trigonometric and Hyperbolic Functions | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 15 | LHopital Rule and Taylor Formula | prepare the releated topics | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 16 | Term Exams | Final exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Final exam | 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 | ||