JZ120 mathematics

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

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

Update Time: 14.05.2024 02:23