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Information
| Code | BBT129 |
| Name | Mathematics |
| Semester | 1. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Arş.Gör.Dr. AYŞE ÇOBANKAYA |
Course Goal
The objective of this course is to enable students to acquire competency in doing calculus computations. In the field of calculus, the primary methodologies employed for the examination and characterization of functions are limits, derivatives, and integrals. These tools will be utilized by students to address application problems across a wide range of disciplines, including physics, biology, business, and economics.
Course Content
Equations and inequalities, Functions and graphs, Limits and continuity, Derivatives, Applications of derivatives, Anti derivatives and integrals.
Course Precondition
No prerequisites
Resources
Calculus 1, Professor George Brinton Thomas Jr.
Notes
Calculus, James Stewart
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Solve algebraic equations and inequalities. |
| LO02 | Recognize and graph polynomial, rational and trigonometric functions. |
| LO03 | Calculate limits of functions and indefinite forms (using the l'Hopital rule). |
| LO04 | Use all the rules for computing derivatives and be familiar with the definition of derivatives and tangent line. |
| LO05 | Find the maximum and minimum of a function using derivatives. |
| LO06 | Apply derivatives to determine monotinicity and concavity and graph functions |
| LO07 | Apply derivatives to real world problems. |
| LO08 | Understand the concept of indefinite integral as antiderivative. |
| LO09 | Comprehend standard indefinite integrals and basic rules of indefinite integral. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has discipline-specific subject’s adequate knowledge of mathematics, science, and Agricultural Engineering (Soil Science and Plant Nutrition); use theoretical and applied knowledge in these fields of the complex engineering problems. | 4 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Define, formulate and solve complex problems in the field of Soil Science and Plant Nutrition, select and apply appropriate analysis and modeling methods for this purpose. | |
| PLO03 | Yetkinlikler - Öğrenme Yetkinliği | Design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions, and apply modern design methods for this purpose in Soil Science and Plant Nutrition discipline. | |
| PLO04 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Select and use modern tools necessary for the analysis and solution of complex problems and use information technologies effectively in the field of Soil Science and Plant Nutrition application. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Design, conduct experiments, collect data, analyze and interpret results for the study of complex problems or discipline-specific research issues encountered in the field of Soil Science and Plant Nutrition. | |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Work effectively in interdisciplinary (Soil Science and Plant Nutrition) and multidisciplinary teams; develope individual study skills | |
| PLO07 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Communicate effectively orally and in writing; has a foreign language knowledge at the “beginner” level; write reports effectively in the field of Soil Science and Plant Nutrition, understand written reports, prepare, design and production reports, make effective presentations, take and give clear and understandable instructions. | |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | Gain awareness of the necessity of lifelong learning; access information in the field of Soil Science and Plant Nutrition, follow the developments in science and technology, and constantly renew oneself. | |
| PLO09 | Yetkinlikler - Alana Özgü Yetkinlik | Compliance with ethical principles, professional and ethical responsibility in the field of Soil Science and Plant Nutrition, and has knowledge of standards used in engineering practices. | |
| PLO10 | Yetkinlikler - Alana Özgü Yetkinlik | Gain knowledge of business practices as project and risk management and change management; gain awareness of entrepreneurship and innovation; information about sustainable development in the field of Soil Science and Plant Nutrition. | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | Has information about the effects of Soil Science and Plant Nutrition practice’s on health, environmental, and security in universal scale and social dimensions: The problems of the age reflection related with the field of Soil Science and Plant Nutrition; gain awareness of the legal implications of Soil Science and Plant Nutrition solutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Inequalities and Absolute Values. | Lecture and discussion | Öğretim Yöntemleri: Anlatım |
| 2 | Functions; Domain and Range Sets. | Lecture and discussion | Öğretim Yöntemleri: Anlatım |
| 3 | Types of Functions: Linear, Polynomial and Rational Functions. | Lecture and discussion | Öğretim Yöntemleri: Anlatım |
| 4 | Types of Functions: Trigonometric, Increasing-Decreasing and Odd-Even Functions. | Lecture and discussion | Öğretim Yöntemleri: Anlatım |
| 5 | Limits: Limit of a Function and Precise Definition of Limit. | Lecture and discussion | Öğretim Yöntemleri: Anlatım |
| 6 | Limits: Calculating Limits Using the Limit Laws. One-sided Limits. Infinite Limits and Limits at Infinity. | Lecture and discussion | Öğretim Yöntemleri: Anlatım |
| 7 | Continuity: Continuity of a Function at a Point. Continuous Functions. Types of Discontinuous. | Lecture and discussion | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Midterm exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Derivative: Introducing the Derivative. The Derivative as a Function. Rules of Differentiation. | Lecture and discussion | Öğretim Yöntemleri: Anlatım |
| 10 | Derivative: The Product and Quotient Rules. Derivatives of Trigonometric Functions. Derivatives as Rates of Change. | Lecture and discussion | Öğretim Yöntemleri: Anlatım |
| 11 | Derivative: The Chain Rule, Implicit Differentiation. | Lecture and discussion | Öğretim Yöntemleri: Anlatım |
| 12 | Applications of Derivatives: Maxima and Minima. Mean Value Theorem. | Lecture and discussion | Öğretim Yöntemleri: Anlatım |
| 13 | Applications of Derivatives: Graphing Functions. Optimization Problems. | Lecture and discussion | Öğretim Yöntemleri: Anlatım |
| 14 | Applications of Derivative: L’Hôpital’s Rule. | Lecture and discussion | Öğretim Yöntemleri: Anlatım |
| 15 | Anti-Derivatives and Indefinite Integral. | Final exam | Öğretim Yöntemleri: Anlatım |
| 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 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 6 | 6 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 78 | ||
| Total Workload / 25 (h) | 3,12 | ||
| ECTS | 3 ECTS | ||