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Information
| Code | TEP107 |
| Name | Mathematics I |
| 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 | Doç. Dr. DİLEK KAHYALAR |
Course Goal
To enable students to understand basic properties of limit, continuity and derivative and use them in drawing the graphs of functions, making about accountability, and solving problems.
Course Content
Sets and number sets, Functions, Limits, derivative and rule of derivative, Drawing graph of functions.
Course Precondition
No prerequisites.
Resources
General Mathematics Prof. Dr. Ekrem Kadıoğlu, Prof. Dr. Mohammed Kamali.
Notes
General Mathematics Prof. Dr. Ekrem Kadıoğlu, Prof. Dr. Mohammed Kamali.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Can define and express the properties of the limit. |
| LO02 | Defines and refers to the continuity of some of the theorems |
| LO03 | Solves problems by using some of the features of continuous functions. |
| LO04 | Defines and calculates derivative. |
| LO05 | Makes approximate calculations of some certain numbers with the help of some derivatives |
| LO06 | Finds the maximum and minimum of functions with one variable and draws their graphs. |
| LO07 | Solves practical problems. |
| LO08 | Finds the limits through L Hospital rule. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | is be able to explain and apply basic theories related to major science and engineering courses in order to form a foundation which enables him/her to understand advanced level subjects related to his/her profession | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | is able to describe, intorduce and evaluate crop and animal production techniques, tools and equipment used in this area and explain role, importance and development of agriculture in national and world economy | |
| PLO03 | Bilgi - Kuramsal, Olgusal | is able to describe characteristics and interrelations of all stages from production to consumption in agricultural sector; is able to describe basic concepts related to efficienct and sustianable use of resources; is able to explain and apply basic economic principles used for this purpose | |
| PLO04 | Bilgi - Kuramsal, Olgusal | is able to explain concepts, thought, theory and methods related to major economic, social, natural, cultural, institutional, organizational and legal factors affecting activities in agricultural sector and rural areas, also national and international forces and interaction between them, their universal and social effects | |
| PLO05 | Bilgi - Kuramsal, Olgusal | is able to apply basic principles of economics to the problemes encountered in agricultural sector | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | is able to show and express economic and social data to be used in agricultural decision making process in tables, graphs and mathematical symbols | 5 |
| PLO07 | Bilgi - Kuramsal, Olgusal | is able to apply ecosystem, biodiversity, sustainable resource management, rural development, planning and technology use related knowledge to crop and animal production and marketing processes | |
| PLO08 | Bilgi - Kuramsal, Olgusal | determines required data related to the analysis of problems encountered in agricultural sector, critically examines and uses those data, selects a proper frame, model and method for the analysis, and evaluates results of the analysis | |
| PLO09 | Bilgi - Kuramsal, Olgusal | uses basic information technologies in the analysis of economic and social data and uses software prepared for this purpose and interpretes results | |
| PLO10 | Bilgi - Kuramsal, Olgusal | is able to carry studies related to his/her field independently and according to the legal procedures; is able to give consultancy, supervising, and expertise services in those fields; is able to join to team works | 3 |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | is able to get access to actual and updated information in the field; is able to inquire knowledge obtained and use them for public benefit according to the purpose selected | 4 |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | is able to communicate with sepacialist and non-specialist people both in verbal and written form; is able to select most appropriate communications methods; is able to develop cooperation with stakeholders on producer and organization basis | 4 |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | acquires general and professional foreign language command at a sufficient level to observe professional developments and communicate with colleagues;is able to use information and communication technologies | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | is able to identify problems that can be encountered in agricultural sector; determines their context, evaluates effects of solutions, projects and policies applied in this context, produces solutions, projects and policy alternatives, foresees possible effects of alternatives suggested by himself/herself or others, selects the most appropriate alternative in terms of the goals selected, applies, direcs and monitors project | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | is able to describe historical development of the profession, ethical principles obligatory during the performance of the profession and to be consicous of meticulous application of these principles |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Numbers. Rational and real numbers. Ranking. Absolute value. Number axis. Spacing. Inequalities. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 2 | Functions. Finding Definition and Value Sets. Transactions related to the functions and function types. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 3 | Ascending, descending functions. Reverse function. Graphics. Off functions. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 4 | Trigonometric functions. Problem-solving. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 5 | Limit of functions of one variable. Properties of limits. One-sided limits | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 6 | Limits are endless. Limits at infinity. Continuity. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 7 | Continuous functions from their properties. Problem-solving. Derivatives, slope of the tangent. Rules of differentiation. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 8 | The chain rule. Higher-order derivatives. Derivative of inverse functions. Physical meaning of the derivative. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 9 | Written exam | Review of the relevant pages from sources | Ölçme Yöntemleri: Yazılı Sınav |
| 10 | The inverse trigonometric functions and their derivatives. Problem-solving. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 11 | Rolle s Theorem, Mean Value Theorem. Maximum, minimum detection. 1. and 2. Derivative test . | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 12 | The second derivative and convexity. Asymptotes. Graphic design. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 13 | Maximum and minimum problems. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 14 | Exponential and logarithmic functions. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 15 | Uncertainties and L Hopital s rule. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 16 | Final Exam | Review and Problem Solving | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Final Exam | Review and Problem Solving | 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 | ||