TÜRKÇE
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Information
| Code | TMT123 |
| Name | Mathemetics 1 |
| Term | 2023-2024 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-1 (T-A) (17 Week) |
| ECTS | 5 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. NERGİZ POYRAZ |
| Course Instructor |
Doç. Dr. NERGİZ POYRAZ
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To have the students to grasp the basic properties of function, limit, continuity and derivative and use them in drawing the graphs , making approximate calculation, and problem solving. Besides this, Train the students to think analytically and teach solution methods to the possible problems to be encountered in the future issues he/she is interested in. Analysis considered as one of the greatest achievements of the human mind is an exciting subject. We hope our studetns to discover analysis not only for its use but also for its inner beauty.
Course Content
Real numbers, functions, limits, continuity, derivatives, applications of derivatives.
Course Precondition
There is no prerequisite for this course.
Resources
Lecture presentations
Notes
Lecture Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explain the concept of cluster. |
| LO02 | Knows the limit and derivative methods and makes the practices. |
| LO03 | Detect maximum and minimum values functions. |
| LO04 | Analyses alternative solving techniques and chooses the optimal solution. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge of mathematics, science and Agricultural Machinery and Technologies engineering disciplines; gain the knowledge to use theoretical and applied knowledge in these fields in complex engineering problems | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Gains knowledge of defining, formulating and solving problems in the fields of Agricultural Machinery and Technologies Engineering, choosing and applying appropriate analysis and modeling methods for this purpose. | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Knows how to design a complex system, process, device or product related to the engineering field, under realistic constraints and conditions, in other words, by considering the available possibilities and the current state of the field, and to apply modern design methods for this purpose. | 1 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Gain the ability to develop, select and use modern tools necessary for the analysis and solution of complex problems encountered in Agricultural Machinery and Technologies Engineering applications and to use information technologies effectively. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Gains the ability to design experiments, conduct experiments, field studies, collect data, analyze and interpret results in order to examine the complex problems or discipline-specific research issues encountered in the field of Agricultural Machinery and Technologies Engineering. | |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | It carries out studies related to its field independently, and acts as a consultant, audit and expert. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to work effectively in disciplinary and multi-disciplinary teams; gains the ability to work individually. | |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | Gains the ability to write effective reports in the field, to understand written reports, to prepare design and production reports, to make effective presentations, to take and give clear and understandable instructions. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Awareness of the necessity of lifelong learning; gains a positive attitude towards accessing information, following developments in science and technology, and continuous innovation. | |
| PLO10 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | It is sensitive to the events/developments on the agenda of the society and the world and monitors these developments, prepares projects, produces and shares solution suggestions. | |
| PLO11 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Follows the information in the field and communicates with colleagues by using a foreign language at least at the B1 level of the European Language Portfolio. | |
| PLO12 | Yetkinlikler - Alana Özgü Yetkinlik | Knowledge of business practices related to engineering, such as project management, risk management and change management; awareness of entrepreneurship, innovation; gains knowledge about sustainable development. | |
| PLO13 | Yetkinlikler - Alana Özgü Yetkinlik | Knowledge of the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems reflected in the field of engineering; gain awareness of the legal consequences of engineering solutions. | |
| PLO14 | Yetkinlikler - Alana Özgü Yetkinlik | Acts in accordance with ethical principles, professional and ethical responsibility, and standards used in engineering practices |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Sets, Natural, Complete, Rational, Real insertion levels | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Functions: types, Trigonometik functions, Kesrli functions, exponential and logarithmic functions | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 3 | Exponential and logarithmic functions and simple Exercises | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 4 | Hperbolik and trigonometric functions and the properties of the function, Exercises | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 5 | Concept of Limit: Limit theorems, Special Limits, Infinite Limits Exercises | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 6 | Continuity and Diferansial Concept: Theorems, derivation rules, Exercises | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 7 | Applications of Differential; Increasing and decreasing functions, asymptotes, graphical analysis and drawing functions, maximum and minimum applications | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 8 | Mid-Term Exam | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | The chain rule. Higher-order derivatives. Derivative of inverse functions. Physical meaning of the derivative. | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 10 | The second derivative and convexity. Asymptotes. Graphic design | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 11 | Polar coordinate system, the parametric representation of curves and drawings, Exercises | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 12 | Integral Concept: Geometric meaning of integral, integral formulas, Exercises | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 13 | Integration methods, integration of rational fractions, Exercises | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 14 | Algebraic, trigonometric and exponential functions, integration, Exercises | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 15 | Definite Integral: Integral Calculus geometric applications, Exercises | Studying from source books and lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 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 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 1 | 1 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 123 | ||
| Total Workload / 25 (h) | 4,92 | ||
| ECTS | 5 ECTS | ||