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Information
| Code | JZ120 |
| Name | mathematics |
| Term | 2024-2025 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 2-1 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 2 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 Instructor |
1 |
Course Goal / Objective
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 | ||