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Information
| Code | JZ121 |
| Name | Mathematics 1 |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 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 Goal
To teach the mathematical background of the basics of engineering and the technical courses of the Geological Engineering.
Course Content
Matrix, determinant concept, funtion concept, limit, derivative and differential equations.
Course Precondition
There are no prerequisites for this course.
Resources
GENEL MATEMATİK 1 Palme Yayıncılık - Akademik Kitaplar Mustafa Balcı
Notes
Methods of Mathematics
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains the arithmetic operations on matrices |
| LO02 | Calculates the reverse and determinant of a matrix |
| LO03 | Performs the linear equation systems and solution methods by using matrices |
| LO04 | Describes function, limit and continuity concepts. |
| LO05 | Knows Continuity, classification of discontinuities |
| LO06 | Knows Derivative concept, definition, geometric mean, the basic rules of differentiation |
| LO07 | Can explain Tangent equation, the maximum and minimum of a function, a variety of engineering problems |
| LO08 | Knows concept of Differentials |
| LO09 | Can make The approximate account by using differentials |
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. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Designs and performs experiments, collects data and interprets the results. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Realizes the social effects of identified solutions for geological problems. | |
| PLO04 | Yetkinlikler - Alana Özgü Yetkinlik | Searches for underground and aboveground natural resources | |
| 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 | 3 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Has an awareness of life long learning; follows developments in science and technology to keep up to date | |
| 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. | 5 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knows job related and ethical responsibilities, project management, office applications and safety, and realizes juridical responsibilities of engineering applications. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Thinks, interprets, analyzes and synthesizes geological events in 3D. | 4 |
| 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. | |
| PLO16 | Yetkinlikler - Alana Özgü Yetkinlik | Investigates and reports all kinds of natural resources and geological hazards | 2 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Matrices, equal matrices, arithmetic operations, special matrices | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 2 | Determinants, properties of determinant, inverse matrices | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 3 | Systems of Linear Equations and Solution Methods, Cramers method | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 4 | Echelon matrix, Gauss Elimination Method | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 5 | The concept of function, the domain of function, some special functions | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 6 | Some of the properties of functions and their graphs | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 7 | Limits of functions of one variable, definition, limit properties | 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 | Infinity limits | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 10 | Continuity, classification of discontinuities | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 11 | Derivative concept, definition, geometric mean, the basic rules of differentiation-1 | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 12 | Derivative concept, definition, geometric mean, the basic rules of differentiation-2 | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 13 | Tangent equation, the maximum and minimum of a function, a variety of engineering problems | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 14 | Differentials | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 15 | The approximate account by using differentials | 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 | ||