JZ121 Mathematics 1

5 ECTS - 3-0 Duration (T+A)- 1. Semester- 3 National Credit

Information

Code JZ121
Name Mathematics 1
Term 2022-2023 Academic Year
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 Instructor Doç. Dr. DOĞAN KAYA (A Group) (Ins. in Charge)


Course Goal / Objective

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

Update Time: 17.11.2022 07:07