TÜRKÇE
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Information
| Code | MAT111 |
| Name | Mathematics I |
| Term | 2024-2025 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. SEDAT GÜNDOGDU |
| Course Instructor |
Emrah KORKMAZ
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
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
None
Resources
Calculus 1, Professor George Brinton Thomas Jr.
Notes
Lecture Notes
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 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 | Having knowledge on “natural and applied sciences” and “basic engineering”; combination of their theoretical and practical knowledge on fisheries engineering applications. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Assessment of data scientifically on fisheries engineering, determining and solving the problems | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Uses theoretical and practical knowledge in the field of fisheries to design; investigates and interprets events and phenomena usig scientific methods and techniques. | 5 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Collecting data in fisheries science, making the basic experimental studies, evaluating the results, identifying the problems and developing methods of solution | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Having plan any study related to fisheries science as an individually, managing and consulting. | 5 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Learning the knowledge by the determining learning needs; developing positive attitude towards lifelong learning | 5 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Communicating oral and written in expertise field, monitoring the seminars and meeting in expertise field, following the foreign language publication. | 4 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Improving life-long learning attitude and using the information to the public interest. | 2 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Creating public awareness about fisheries and having the ability to ensure sustainable use of aquatic resources. | 2 |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Communicating oral and written effectively, participating the seminars and meetings in expertise field, following the foreign language publications. | 2 |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Using the informatics and communicating technology | 5 |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Improves constantly itself , as well as professional development scientific, social, cultural and artistic fields according to his/her interests and abilities identifying needs of learning. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Gaining competence to determine the current status of aquatic resources and its sustainable use, water pollution and control, and biotechnology areas. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Having ability to promote the study about aquaculture techniques by saving the natural environment, fishery diseases, fishing and processing technology, structure of fishery sector, problems and solution of their expertise field | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Ability to act in accordance with the regulation, social, scientific, cultural, and ethical values on fisheries field |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Inequalities and Absolute Values | Reading related sources, homework | Öğretim Yöntemleri: Anlatım |
| 2 | Functions; Domain and Range Sets | Reading related sources, homework | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Types of Functions: Linear, Polynomial and Rational Functions | Reading related sources, homework | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Types of Functions: Trigonometric, Increasing-Decreasing and Odd-Even Functions | Reading related sources, homework | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Limits: Limit of a Function and Precise Definition of Limit | Reading related sources, homework | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Limits: Calculating Limits Using the Limit Laws. One-sided Limits. Infinite Limits and Limits at Infinity | Reading related sources, homework | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Continuity: Continuity of a Function at a Point. Continuous Functions. Types of Discontinuous | Reading related sources, homework | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Midterm exam | Studying midterm exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Derivative: Introducing the Derivative. The Derivative as a Function. Rules of Differentiation | Reading related sources, homework | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Derivative: Derivatives of Trigonometric Functions. Derivatives as Rates of Change | Reading related sources, homework | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Derivative: The Chain Rule, Implicit Differentiation | Reading related sources, homework | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 12 | Applications of Derivatives: Maxima and Minima. Mean Value Theorem | Reading related sources, homework | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Applications of Derivatives: Graphing Functions. Optimization Problems | Reading related sources, homework | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Applications of Derivatives: L’Hôpital’s Rule | Reading related sources, homework | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Anti-Derivatives and Indefinite Integral | Reading related sources, homework | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Term Exams | 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 | 1 | 4 | 4 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 24 | 24 |
| Total Workload (Hour) | 92 | ||
| Total Workload / 25 (h) | 3,68 | ||
| ECTS | 4 ECTS | ||