TMT132 Mathematics II

5 ECTS - 3-1 Duration (T+A)- 2. Semester- 3 National Credit

Information

Code TMT132
Name Mathematics II
Term 2024-2025 Academic Year
Semester 2. 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
1 2
Doç. Dr. NERGİZ POYRAZ (A Group) (Ins. in Charge)


Course Goal / Objective

Calculation of mathematical and physical quantities by integral or series sum

Course Content

Array and series, convergent, divergent series, definite and indefinite integral, Area, volume and arc length in orthogonal and polar coordinates.

Course Precondition

There is no prerequisite for this course.

Resources

Lecture presentations

Notes

Lecture Notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Calculates Array Limits.
LO02 Decides whether infinite series are convergent.
LO03 Expresses functions as an infinite series.
LO04 Defines and draws different curves.
LO05 Calculates the indefinite integral.
LO06 Calculates definite integrals.
LO07 Finds Area, Volume, Arc Length Surface area and center of gravity using definite integral.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Beceriler - Bilişsel, Uygulamalı Adequate ability to use of mathematics, science and Agricultural Machinery and Technologies engineering disciplines; gains the ability to use theoretical and applied knowledge in these fields in complex engineering problems 4
PLO02 Beceriler - Bilişsel, Uygulamalı Gains ability 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 Beceriler - Bilişsel, Uygulamalı Gains ability of 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 Gains ability of developing, selecting and using 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. 1
PLO05 Beceriler - Bilişsel, Uygulamalı Gains 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 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 beginner level.
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 Arrays, Limit. Limit theorems, infinite limits. Sub Arrays Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
2 Convergence of series, Geometric series, Comparison, Limit Comparison, Ratio and Root Tests Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
3 Power series, Convergence radius, Taylor and MacLaurin series, Binomial Theorem Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
4 Polar Coordinates. Some important Curves. Curve drawings. The slope of the tangent formula Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
5 Indefinite Integral definition and properties. Variable Substitution and Partial Integration Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
6 Integrating trigonometric functions Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
7 Integration of algebraic functions with substitution and reduction formulas Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
8 Mid-Term Exam Mid-term Exam Ölçme Yöntemleri:
Yazılı Sınav
9 Integrating Rational Functions Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
10 Trigonometric and Algebraic integrals. Definite integral definition and properties Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
11 Fundamental theorems of Differential-Integral calculus. Variable replacement formula Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
12 Finding area in perpendicular and polar coordinates Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
13 Volume finding. Arc-length of a curve Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
14 Rotational surface area Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
15 Finding the center of gravity Reviewing literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap
16 Term Exams Term Exam Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Term Exam 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

Update Time: 08.05.2024 09:07