COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Mathematics II * JZ   108 2 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 basic engineering courses and vocational courses in Geological Engineering mathematical infrastructure required for the win.
Content
Coordinate systems, integral and trigonometric functions.

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 Polar coordinates, graphs of some special curves Read the relevant chapter in the book and discussion
2 Definition of the indefinite integral, computing indefinite integrals Read the relevant chapter in the book and discussion
3 Substitution rule, integration by parts Read the relevant chapter in the book and discussion
4 Integration by partial fractions Read the relevant chapter in the book and discussion
5 Trigonometric integrals Read the relevant chapter in the book and discussion
6 Integration by trigonometric transformation Read the relevant chapter in the book and discussion
7 Definite integral Read the relevant chapter in the book and discussion
8 Mid-term exam Mid-term exam Preparation
9 Calculating the area and volume by using definite integrals Read the relevant chapter in the book and discussion
10 Finding arc length and surface area by the use of definite integrals Read the relevant chapter in the book and discussion
11 Finding the coordinates of the center of mass Read the relevant chapter in the book and discussion
12 Pappuss theorem and its application Read the relevant chapter in the book and discussion
13 Generalized integral Read the relevant chapter in the book and discussion
14 Generalized integral Read the relevant chapter in the book and discussion
15 Final exam Final exam preparation
16-17 aa

Recommended or Required Reading
Textbook
Additional Resources