Index was outside the bounds of the array. Erciyes University - Info Package
Course unit title Level of course unit Course unit code Type of course unit Semester of course unit Local credit ECTS credit Syllabus
MATHEMATICS-II Second cycle MAT112 2 6.00 6.00 Print
   
Description of course unit
Prerequisites and course requisities None
Language of instruction Turkish
Coordinator Prof. Dr. Mehmet Baran
Lecturer(s) Prof. Dr. Mehmet Baran
Teaching assitant(s) None
Mode of delivery face to face
Course objective The purpose of this course is to teach necessary mathematical techniques used in solving engineering problems.
Course description Methods of integration, application of integration, area under the curve, volume of a solid of revolution, polar coordinates, sequences and series.

Course contents
1 Indefinite integrals their properties
2 The rules of indefinite integrals, Integration by substitution, Integration by parts
3 Integration of trigonometric functions, Integration of rational functions
4 Reduction formulae
5 Definition of definite integrals, Properties of definite integrals
6 Applications of definite integrals, Finding areas and arc length
7 Basic theorems of definite integrals, Volume of revolution
8 Midterm Exam
9 Polar cordinant system, Draw the graph
10 Find areas and arc length in Polar cordinant system
11 Improper Integrals
12 Sequences
13 Series
14 Power Series, Taylor series
15 Final Exam
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Learning outcomes of the course unit
1 To find the relationship between derivative and integral
2 To comprehend the rules and technics of integrals
3 To calculate area, the arc length, volume of revolution by using integration
4 To calculate area, the arc length, area of revolution by using integration in Polar coordinant system
5 To give the applications of series
6 To solve differantial equations by using series
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*Contribution level of the course unit to the key learning outcomes
1 To develop at a certain level of the knowledge on the basis of mathematics education received at the undergraduate level.
2 To use theoretical and practical knowledge obtained in their research areas.
3 Be able to use in their studies as integrating the knowledge they have in their own study areas with the knowledge in different disciplines.
4 To transfer the current developments in mathematics and their own research to researchers who work the same area or outside of their field.
5 To respect social and scientific ethical values in the stages of arrangement, interpretation and usage of datas related to their works.
6 To use methods to access the information in their own research area or in other disciplines efficiently and in accordance with ethical values.
7 Ability to use mathematical knowledge in technology effectively and efficiently.
8 To share information by participating in national and international scientific meetings related to their study areas.
9 Be able to understand and interpret as evaluating by critical approaches a new information encountered in their study areas.
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Number of stars refer to level of contribution from 1 (the least) to 5 (the most)

Planned learning activities, teaching methods and ECTS work load
  Quantity Time (hour) Quantity*Time (hour)
Lectures (face to face teaching) 14 4 56
Study hours out of classroom (study before and after the class) 14 6 84
Homework 0 0 0
Presentation / seminar 0 0 0
Quiz 0 0 0
Preparation for midterm exams 1 8 8
Midterm exams 1 2 2
Project (term paper) 0 0 0
Laboratuar 0 0 0
Field study 0 0 0
Preparation for final exam 1 10 10
Final exam 1 2 2
Research 0 0 0
Total work load     162
ECTS     6.00

Assessment methods and criteria
Evaluation during semester Quantity Percentage
Midterm exam 1 40
Quiz 0 0
Homework 0 0
Semester total   40
Contribution ratio of evaluation during semester to success   40
Contribution ratio of final exam to success   60
General total   100

Recommended and required reading
Textbook Dennis G. Zill, Warren S. Wright, Calculus, Nobel yayınnları, 2013.
Additional references Prof. Dr. Mustafa Balcı, Genel Matematik 1, Balcı yayınları, 2008.

Files related to the course unit