TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| MINING ENGINEERING PR. | |
| Code | MDZ208 |
| Name | Maths 4 |
| Term | 2025-2026 Academic Year |
| Semester | 4. 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 | Prof. Dr. ZERRİN GÜL ESMERLİGİL |
| Course Instructor |
The current term course schedule has not been prepared yet. Previous term groups and teaching staff are shown.
|
Course Goal / Objective
In order to solve a large number of problems in engineering, we first formulate these problems with mathematical expressions and use some initial and boundary conditions to reveal the functions that form the solutions of the problems.
Course Content
First order differential equations; Separable equations, Linear Equations, Exact diff. equations and integral factor, Higher order diff. Equations, Equations with constant coefficients, Undetermined coefficients method. method of variation of parameters, Laplace transforms, basic definitions and theorems
Course Precondition
NONE
Resources
Differential Equations L.Shipley ROSS
Notes
Lecture Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Gains information about startup problems. |
| LO02 | Can define and classify differential equation. |
| LO03 | A differential equation can be obtained by eliminating arbitrary constants from a given relation. |
| LO04 | Can recognize general types of first order differential equations and find their general solutions. |
| LO05 | Knows the basic theory of higher order Linear Differential equations. |
| LO06 | Can find general solutions of homogeneous linear differential equations with constant coefficients. |
| LO07 | Can use Uncertain coefficients Method to find specific solution. |
| LO08 | Finds the general solution of the Cauchy Euler Equation. |
| LO09 | Gains information about boundary value problems. |
| LO10 | Can find general solutions of non-homogeneous Linear Differential equations with Constant Coefficients. |
| LO11 | Can use Variation of Parameters Method to find specific solution. |
| LO12 | Gain information about separable differential equations. |
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 | Definition and classification of Differential Equations | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 2 | Initial and boundary value problems | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 3 | Obtaining differential equations | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 4 | Exact Differential Equations and Integral Factor | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 5 | Separable Differential equations | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 6 | Homogeneous Differential equations | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 7 | Linear and Bernouilli Differential Equations | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 8 | Mid-Term Exam | Lecture Notes | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Basic theory of Linear Equations | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 10 | Homogeneous equations with constant coefficients I | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 11 | Homogeneous equations with constant coefficients II | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 12 | Uncertain Coefficients Method | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 13 | Method of change of parameters | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 14 | Cauchy Euler Equation | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 15 | An overview | Literature Research | Öğretim Yöntemleri: Anlatım, Tartışma |
| 16 | Term Exams | Lecture Notes | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Lecture Notes | 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 | 1 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 24 | 24 |
| Total Workload (Hour) | 116 | ||
| Total Workload / 25 (h) | 4,64 | ||
| ECTS | 5 ECTS | ||