COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Mathematics I * JZ   109 1 2 2 3

Prerequisites and co-requisites Yok
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator
Instructors
Prof.Dr.ZERRİN GÜL ESMERLİGİL1. Öğretim Grup:A
Prof.Dr.ZERRİN GÜL ESMERLİGİL2. Öğretim Grup:A
 
Assistants
Goals
To teach the mathematical background of the basics of engineering and the technical courses of the Geological Engineering.
Content
Matrix, determinant concept, funtion concept, limit, derivative and differential equations.

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Uses Fundamental Geological information, having necessary information in Mathematical and Natural sciences and employs theoretical and applied information in these areas in engineering solutions. Identifies, formulizes and solves geological problems. Real
X
2
Uses necessary techniques and instruments for geological applications Identifies rock types, draws geological maps and cross sections. Investigates and reports all kinds of natural resources and geological hazards
3
Thinks, interprets, analyzes and synthesizes geological events in 3D. Chooses and applies necessary methods and instruments for engineering applications. Uses the information technology effectively.
4
Designs and performs experiments, collects data and interprets the results.
5
Works and undertakes responsibility in solving geological problems both individually and in multidiciplinary working groups
6
Investigates to obtain scientific information, and uses data bases and other data sources actively. Has an awareness of life long learning; follows developments in science and technology to keep up to date
7
Initiates effective interactions in Turkish both orally and in written form, and speaks at least one foreign language. Defines necessities in learning in scientific, social, cultural and artistic areas and improves himself/herself continuously.
8
Knows job related and ethical responsibilities, project management, office applications and safety, and realizes juridical responsibilities of engineering applications. Knows the universal and societal effects of engineering solutions and applications. Ha

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Matrices, equal matrices, arithmetic operations, special matrices Read the relevant chapter in the book and discussion
2 Determinants, properties of determinant, inverse matrices Read the relevant chapter in the book and discussion
3 Systems of Linear Equations and Solution Methods, Cramers method Read the relevant chapter in the book and discussion
4 Echelon matrix, Gauss Elimination Method Read the relevant chapter in the book and discussion
5 The concept of function, the domain of function, some special functions Read the relevant chapter in the book and discussion
6 Some of the properties of functions and their graphs Read the relevant chapter in the book and discussion
7 Limits of functions of one variable, definition, limit properties Read the relevant chapter in the book and discussion
8 Mid-Term Exam Mid-term exam preparation
9 Infinity limits Read the relevant chapter in the book and discussion
10 Continuity, classification of discontinuities Read the relevant chapter in the book and discussion
11 Derivative concept, definition, geometric mean, the basic rules of differentiation Read the relevant chapter in the book and discussion
12 Tangent equation, the maximum and minimum of a function, a variety of engineering problems Read the relevant chapter in the book and discussion
13 Differentials Read the relevant chapter in the book and discussion
14 The approximate account by using differentials Read the relevant chapter in the book and discussion
15 Final exam Final exam preparation
16-17 Term Exams

Recommended or Required Reading
Textbook
Additional Resources
Ders Notu ve Kitaplar