TÜRKÇE
ENGLISH
Information
| Code | MDZ102 |
| Name | Mathematics II |
| Semester | 2. Semester |
| Duration (T+A) | 2-0 (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 | Doç. Dr. DİLEK KAHYALAR |
Course Goal
To help students gain the understanding of basic engineering courses and mathematical infrastructure required for vocational courses in Geological Engineering.
Course Content
Coordinate systems, integral and trigonometric functions
Course Precondition
Yok
Resources
Ders Notu ve Kitaplar
Notes
Ders Notu ve Kitaplar
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Converts the equations of the curves from vertical coordinates to polar coordinates. |
| LO02 | Understands that the concept of integral is the opposite of derivative. |
| LO03 | Calculates center of mass by using integral. |
| LO04 | Calculates generalized integrals |
| LO05 | Some special curves in polar coordinates |
| LO06 | Calculates center of volume by using integral. |
| LO07 | Calculates center of area by using integral. |
| LO08 | Has the knowledge on the Integral problems |
| LO09 | Has the knowledge on some special curves |
| LO10 | Has the knowledge on generalized integrals. |
| LO11 | Has the knowledge on center of mass coordinates |
| LO12 | Has the knowledge on trigonometric integrals |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Students has sufficient knowledge on theoretical and applied subjects in the light of contemporary knowledge and scientific approaches in the field of mining. | 5 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Applies the knowledge she has received in the field of mining in multidisciplinary studies to produce solutions to the problems she has encountered. | 5 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Analyzes problems with the help of up-to-date information and makes inferences for solutions. | 4 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | It applies physical, chemical, mechanical and mineralogical analyzes in accordance with TSE standards in field studies or laboratory conditions. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Has the ability to analyze the engineering plans. | |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | It dominates the machinery park in mining enterprises and can use them for the execution of mining activities. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students has the ability to solve the problems she encounters by working individually or in a team with other disciplines. | |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | It constantly follows the developments in the mining field, as it knows that the information is not static. | 3 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | It can use printed publications or databases to obtain the necessary information in mining processes. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | He/she carries out all his/her work in a planned way in order to constantly improve himself/herself and increase her knowledge level. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Uses computers and other electronic resources in mining. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Uses at least one foreign language at B1 General Level in order to communicate and access information. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Performs technical drawings by thinking in three dimensions in the studies she has done in her field. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | It has the awareness of adhering to moral and ethical values while carrying out its mining activities. | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | It is aware of the need to prioritize the environment and the health of employees, as it has an infrastructure on Occupational Health and Safety awareness in mining and their legal obligations. | |
| PLO16 | Yetkinlikler - Öğrenme Yetkinliği | Knows that the solutions to the problems in the mining field affect societies and communities, so they have information about the innovative applications and models developed. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Polar coordinates, Graphs of some special curves | Literature research | Öğretim Yöntemleri: Anlatım |
| 2 | Definition of indefinite integral, Basic integral rules | Literature research | Öğretim Yöntemleri: Anlatım |
| 3 | Variable replacement method and partial integration | Literature research | Öğretim Yöntemleri: Anlatım |
| 4 | Simple separation method | Literature research | Öğretim Yöntemleri: Anlatım |
| 5 | Trigonometric integrals | Literature research | Öğretim Yöntemleri: Anlatım |
| 6 | Integral calculation with trigonometric transformation | Literature research | Öğretim Yöntemleri: Anlatım |
| 7 | Definite integral | Literature research | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Mid-term exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Area and volume calculation with definite integral | Literature research | Öğretim Yöntemleri: Anlatım |
| 10 | Curved arc length and surface area account | Literature research | Öğretim Yöntemleri: Anlatım |
| 11 | Center of mass coordinates | Literature research | Öğretim Yöntemleri: Anlatım |
| 12 | Pappus Theory and its application | Literature research | Öğretim Yöntemleri: Anlatım |
| 13 | Generalized integrals (Unlimited Range) | Literature research | Öğretim Yöntemleri: Anlatım |
| 14 | Generalized Integrals (Unconditional State of Function) | Literature research | Öğretim Yöntemleri: Anlatım |
| 15 | Volume calculation with definite integral | Literature research | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Final Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Final Exam | 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 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 10 | 10 |
| Final Exam | 1 | 20 | 20 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||