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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 | Explains the basic concepts and principles of science and basic engineering branches. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Explains basic information about ecosystem, biodiversity and sustainable resource management, design, planning and use of technology. | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Explains the strategies, methods and techniques related to fisheries, measurement and evaluation methods | 5 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Explains the production and/or processing processes related to aquatic products. | 5 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Evaluates the accuracy, reliability and currency of the information about fisheries | |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Examines events and cases with the scientific method by using theoretical and practical knowledge. | 4 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Investigates the problems related to fisheries using scientific methods. | 5 |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | To have the skills and competence required for duties such as consultancy, auditing and expertise in businesses related to fisheries. | 2 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Takes responsibility individually or as a team member to solve problems encountered in fisheries related enterprises | 2 |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Conducts interdisciplinary studies related to fisheries. | 2 |
| PLO11 | Yetkinlikler - Öğrenme Yetkinliği | Develops a positive attitude towards lifelong learning to learn continuously innovated knowledge and skills related to fisheries. | 5 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Has the ability to access and use information. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Uses the knowledge about fisheries for the benefit of society. | |
| PLO14 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Follows the events on the agenda of society and the world. | |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Produces projects by taking into account the problems and needs of the social environment in which they live. | |
| PLO16 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Shares the knowledge and skills acquired in fisheries on various platforms in order to raise awareness of the society. | |
| PLO17 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | To be able to use a foreign language to follow the resources related to the field and to communicate with colleagues. | |
| PLO18 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses information and communication technologies related to fisheries. | |
| PLO19 | Yetkinlikler - Alana Özgü Yetkinlik | Carries out studies in the fields of ecosystem, biodiversity and sustainable resource management, aquaculture, fisheries and processing technology. | |
| PLO20 | Yetkinlikler - Alana Özgü Yetkinlik | Prepares and manages projects related to fisheries, taking into account environmental, technical, technological and economic aspects. | |
| PLO21 | Yetkinlikler - Alana Özgü Yetkinlik | Acts in accordance with scientific, cultural and ethical values. | |
| PLO22 | Yetkinlikler - Alana Özgü Yetkinlik | Know the legislation related to the field and act accordingly. |
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 | ||