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Information
| Code | TEP136 |
| Name | Mathematics 2 |
| Term | 2024-2025 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 2-2 (T-A) (17 Week) |
| ECTS | 4 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. DİLEK KAHYALAR |
| Course Instructor |
1 |
Course Goal / Objective
To teach to calculate mathematical and physical quantities through integral or serial addition.
Course Content
Sequences and series, convergent, divergent series, definite and indefinite integral, area, volume and arc length with rectangular and polar coordinates.
Course Precondition
Mathematics 1
Resources
Mathematics 2
Notes
Class sources
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Can calculate limits of sequences. |
| LO02 | Can decide if the infinite series are convergent. |
| LO03 | Can express functions as infinite series. |
| LO04 | Can calculate the definite integral |
| LO05 | Can identify and draw various curves. |
| LO06 | Can calculate the indefinite integral |
| LO07 | Calculates integrals of polynomial functions. |
| LO08 | Can find area, volume, arc length, surface area, and the center of gravity using the Definite Integral |
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 | |
| 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 | |
| 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 | 3 |
| 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 | 4 |
| 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 | |
| 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 | |
| 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 | |
| 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 | Sequences, Limits. Limit theorems, infinite limits. Monotone convergence theorem. Subsequences. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 2 | Convergence of the series, the n-th term test, geometric series, p-series, Comparison, Limit Comparison, Ratio and Root Tests. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 3 | Power series, radius of convergence, power series term term Differentiation theorem, Taylor and McLaurin series, Binomial theorem. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 4 | Polar Coordinates. Some of the important curves. Curve drawings. The slope of the tangent formula. Parameterized curves. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 5 | The Indefinite Integral definition, properties. Variable change and partial Integration. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 6 | Integration of some trigonometric functions. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 7 | Integration of some algebraic functions with variable change and reduction formulas | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 8 | Integration of Rational Functions | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 9 | Midterm | Review of the relevant pages from sources | Ölçme Yöntemleri: Yazılı Sınav |
| 10 | Special trigonometric and algebraic integrals. Definition and properties of the definite integral. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 11 | Fundamental theorems of differential calculus. Change of variables formula. Improper integrals. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 12 | Convergence of improper integrals. Integral test. Cartesian and polar coordinates and area calculation. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 13 | Calculate the volume with Disk and cylindrical layers method. Arc length | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 14 | Surface area of revolution. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 15 | Finding the center of gravity. Pappus formula. | 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 | 1 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 24 | 24 |
| Total Workload (Hour) | 88 | ||
| Total Workload / 25 (h) | 3,52 | ||
| ECTS | 4 ECTS | ||