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Information
| Code | JZ118 |
| Name | mathematics |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (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 | Prof. Dr. ALİ ARSLAN ÖZKURT |
Course Goal
To teach the basic engineering courses and vocational courses in Geological Engineering mathematical infrastructure required for the win.
Course Content
Coordinate systems, integral and trigonometric functions.
Course Precondition
Pre-requisites None
Resources
http://matematik.cu.edu.tr/Dersler/MT131/MT131.htm
Notes
Analize Giriş Cilt I ; Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Converts the equations of the curves from vertical coordinates to polar coordinates and draws the graphs of some special curves in polar coordinates. |
| LO02 | Understands the concept of integral is the inverse of the derivative.Finds area, volume and the center of mass by using integral. Calculates generalized integrals. |
| LO03 | Learn Definition of the indefinite integral, computing indefinite integrals |
| LO04 | Calculate integration by Substitution rule and integration by parts |
| LO05 | Can calculate Integration by partial fractions |
| LO06 | Knows Trigonometric integrals |
| LO07 | Can calculate Integration by trigonometric transformation |
| LO08 | Learn Definite integral. |
| LO09 | can calculate the area and volume by using definite integrals |
| LO10 | Can calculate arc length and surface area by the use of definite integrals |
| LO11 | Finding the coordinates of the center of mass |
| LO12 | Knows Pappus theorem and its application |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have sufficient background in basic geological knowledge, mathematics and science related subjects. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Designs and performs experiments, collects data and interprets the results. | 2 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Realizes the social effects of identified solutions for geological problems. | 1 |
| PLO04 | Yetkinlikler - Alana Özgü Yetkinlik | Searches for underground and aboveground natural resources | 1 |
| PLO05 | Yetkinlikler - Alana Özgü Yetkinlik | Chooses and applies necessary methods and instruments for engineering applications. | 2 |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Works and undertakes responsibility in solving geological problems both individually and in multidiciplinary working groups | 2 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Has an awareness of life long learning; follows developments in science and technology to keep up to date | 1 |
| PLO08 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Defines necessities in learning in scientific, social, cultural and artistic areas and improves himself/herself continuously. | |
| PLO09 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Entrepreneurship has knowledge about innovation issues and the problems of the age. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Recognizes and solves geological and engineering problems. | 2 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knows job related and ethical responsibilities, project management, office applications and safety, and realizes juridical responsibilities of engineering applications. | 2 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Thinks, interprets, analyzes and synthesizes geological events in 3D. | 2 |
| PLO13 | Yetkinlikler - Alana Özgü Yetkinlik | Knows the formation of rocks, rock types, minerals. | |
| PLO14 | Bilgi - Kuramsal, Olgusal | Has an awareness of life long learning; follows developments in science and technology to keep up to date | |
| PLO15 | Yetkinlikler - Alana Özgü Yetkinlik | Draws maps and extracts geological sections by using necessary techniques and tools for geological applications. | 2 |
| PLO16 | Yetkinlikler - Alana Özgü Yetkinlik | Investigates and reports all kinds of natural resources and geological hazards |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Polar coordinates, graphs of some special curves | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 2 | Definition of the indefinite integral, computing indefinite integrals | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 3 | Substitution rule, integration by parts | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 4 | Integration by partial fractions | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 5 | Trigonometric integrals | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 6 | Integration by trigonometric transformation | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 7 | Definite integral | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Mid-term exam Preparation | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Calculating the area and volume by using definite integrals | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 10 | Calculating the area and volume by using definite integrals 2 | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 11 | Finding arc length and surface area by the use of definite integrals | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 12 | Finding the coordinates of the center of mass | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 13 | Pappus theorem and its application | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 14 | Generalized integral | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 15 | Generalized integral 2 | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Final exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Final exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||