TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| MINING ENGINEERING PR. | |
| Code | MDZ101 |
| Name | Mathematics I |
| Term | 2025-2026 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 4 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 | Prof. Dr. ŞEHMUS FINDIK |
| Course Instructor |
Prof. Dr. ŞEHMUS FINDIK
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To improve the ability of solving problems, to support reasoning skills, to create mathematical infrastructure for vocational courses of the mining program.
Course Content
Functions of one variable/ Limits and continuity/ Derivative and Differantiation/ applications of derivative; maxima and minima, the mean value theorem/ Integration; indefinite and definite integrals, integral rules, the fundamental and the mean value theorems of integral calculus/ Applications of definite integrals; length of curves, area, volumes of revolution.
Course Precondition
None.
Resources
Analize Giriş I, F. Akdeniz, Y. Ünlü, D. Dönmez
Notes
None.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Describes the concept of function. |
| LO02 | Understands mathematical meaning of the derivative |
| LO03 | Solves mathematical problems using derivative |
| LO04 | Makes using differentials to approximate the account |
| LO05 | Describes the concept of limit. |
| LO06 | Describes continuity concepts |
| LO07 | Understands physical meaning of the derivative |
| LO08 | Solves physical problems using derivative |
| LO09 | Solves engineering problems using derivative |
| LO10 | Has the knowledge on relation and functions |
| LO11 | Has the knowledge on techniques of differentiation |
| LO12 | Has the knowledge on error calculations |
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 | operations on the sets | Literature research | Öğretim Yöntemleri: Anlatım |
| 2 | number sets | Literature research | Öğretim Yöntemleri: Anlatım |
| 3 | inequalities | Literature research | Öğretim Yöntemleri: Anlatım |
| 4 | Relation and functions | Literature research | Öğretim Yöntemleri: Anlatım |
| 5 | Some special functions | Literature research | Öğretim Yöntemleri: Anlatım |
| 6 | Limit | Literature research | Öğretim Yöntemleri: Anlatım |
| 7 | Basic limit problems | Literature research | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Mid-term exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Continuity | Literature research | Öğretim Yöntemleri: Anlatım |
| 10 | Derivative and its geometric meaning | Literature research | Öğretim Yöntemleri: Anlatım |
| 11 | Techniques of differentiation | Literature research | Öğretim Yöntemleri: Anlatım |
| 12 | Error calculations | Literature research | Öğretim Yöntemleri: Anlatım |
| 13 | Applications of derivative, Rolles and Mean value Theorems | Literature research | Öğretim Yöntemleri: Anlatım |
| 14 | Increasing and decreasing functions, maximum and minimum values of functions | Literature research | Öğretim Yöntemleri: Anlatım |
| 15 | The graph of a function, applications of maximum and minimum | 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 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 24 | 24 |
| Total Workload (Hour) | 88 | ||
| Total Workload / 25 (h) | 3,52 | ||
| ECTS | 4 ECTS | ||