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Information
| Unit | FACULTY OF ENGINEERING |
| MINING ENGINEERING PR. | |
| Code | MDZ102 |
| Name | Mathematics II |
| Term | 2025-2026 Academic Year |
| 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 |
| Label | BS Basic Science Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. DİLEK KAHYALAR |
| Course Instructor |
The current term course schedule has not been prepared yet. Previous term groups and teaching staff are shown.
|
Course Goal / Objective
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 | PÇ1. (a) Adequate knowledge of mathematics, basic sciences, and discipline-specific topics in Mining Engineering; PÇ1. (b) the ability to use theoretical and applied knowledge in these areas for solving complex engineering problems. | 5 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | PÇ2. (a) Ability to identify, formulate, and solve complex problems in Mining Engineering; PÇ2. (b) ability to select and apply appropriate analysis and modeling methods for this purpose. | |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | PÇ3. (a) Ability to design a complex system, process, device, or product to meet specified requirements under realistic constraints and conditions; PÇ3. (b) ability to apply modern design methods for this purpose. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | PÇ4. (a) Ability to select and use modern technical tools necessary for the analysis and solution of complex problems encountered in Mining Engineering applications; PÇ4. (b) ability to effectively use information technologies. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | PÇ5. Ability to design experiments, conduct experiments, collect data, analyze and interpret results for the investigation of problems specific to Mining Engineering. | |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | PÇ6. (a) Ability to work effectively in disciplinary (Mining Engineering) and multidisciplinary teams; PÇ6. (b) ability to work individually. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | PÇ7. (a) Ability to communicate effectively in Turkish, both orally and in writing; PÇ7. (b) knowledge of at least one foreign language; ability to write effective reports and understand written reports, prepare design and production reports, deliver effective presentations, and give and receive clear and understandable instructions. | |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | PÇ8. Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology, and continuously improve oneself. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | PÇ9. Ability to act in accordance with the ethical principles of Mining Engineering; knowledge of professional and ethical responsibilities and of the standards used in engineering practice. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | PÇ10. Knowledge of business-life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | PÇ11. Knowledge of the impacts of Mining Engineering practices on health, environment, and safety at universal and societal levels, as well as contemporary issues in engineering; awareness of the legal consequences of Mining Engineering solutions. |
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 |
Assessment (Exam) Methods and Criteria
Current term shares have not yet been determined. Shares of the previous term are shown.
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | ||