COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Engineering Mathematics * JZ   215 3 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
 
Assistants
Goals
To teach the mathematical background for basic engineering and geological courses, the introduction of differential equations,the solution implementations and the engineering applications.
Content
Limits, derivatives, integrals, diferential equations and solution implementations.

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 Descriptions of functions of several variables, limits and continuity. Reading the related subject (pages 849-856; 858-863)
2 Partial derivatives and applications Reading the related subject (pages 863-869)
3 Definite integral over a planar area at the vertical coordinates Reading the related subject (pages 943-952; 953-960)
4 Definite integral over a planar area at the polar coordinates Reading the related subject (pages 968-972)
5 Definite integral over an object at the cylindiric and spherical coordinates Reading the related subject (pages
6 Solution methods of Separeble and homogeneous Diferential equations Reading the related subject (pages 976-984)
7 Solution methods of exact differential equations Reading the related subject (pages 52-62)
8 Mid-term exam Exam preparation
9 Solution methods of Linear and Bernoulli differential equations Reading the related subject (pages 46-52)
10 Physical and engineeing applications of differential equations of the first order. Reading the related subject (chapter problems )
11 Higher order of differential equations I Reading the related subject (pages 98-100)
12 Solution methods of differential equations of the III. order. Reading the related subject (pages 112-118)
13 Methods of undetermined coefficient Reading the related subject (pages 118-122)
14 Physical and engineeing applications of differential equations of the II. order. Reading the related subject (chapter problems )
15 Application examples Reading the related subject (chapter problems )
16-17 Final exam Exam Preparation

Recommended or Required Reading
Textbook
Additional Resources
Ders Notu ve KitaplarDiğer Kaynaklar