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Course Information
Course Unit Title |
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Mathematics II |
Course Unit Code |
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MAT128 |
Type of Course Unit |
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Compulsory |
Level of Course Unit
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First Cycle |
Year of Study
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1 |
Semester
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2.Semester |
Number of ECTS Credits Allocated
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5,00 |
Name of Lecturer(s) |
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Course Assistants |
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Learning Outcomes of The Course Unit |
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To learn the conception of the indefinite integral To learn the integral methods To learn the Riemann integral and some related theorems To make the applications of the Riemann integral To use the generalized integrals and their properties
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Mode of Delivery |
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Face-To-Face
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Prerequisities and Co-requisities Courses |
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Unavailable
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Recommended Optional Programme Components |
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Unavailable
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Course Contents |
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Indefinite integral, methods of the indefinite integrals, Properties of the Riemann integral, Applications of Riemann integral (Calculation of Area, length of arc, volume and surface area), The Generalized integrals and properties
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Languages of Instruction |
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Turkish
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Course Goals |
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To teach the conception of the indefinite integral To teach the integral methods To teach properties of the Riemann integral To make the applications of the Riemann integral To teach the generalized integrals and their properties
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Course Aims |
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To give properties of indefinite and definite integrals and to teaching solve area, volume, length of arc, moment, center of gravity and similar applications with definite integral
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WorkPlacement |
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Not Available
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Recommended or Required Reading
Textbook
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Balcı M., Genel Matematik-1, Balcı Yayınları, 2008
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Additional Resources
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Material Sharing
Documents
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Assignments
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Exams
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Additional Material
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Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
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ECTS / Table Of Workload (Number of ECTS credits allocated)
Student workload surveys utilized to determine ECTS credits.
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Activity
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Course Duration (Excluding Exam Week)
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Time Of Studying Out Of Class
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Homeworks
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Presentation
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Project
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Lab Study
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Field Study
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Visas
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Finals
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Workload Hour (30)
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Total Work Charge / Hour
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Course's ECTS Credit
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Assessment Methods and Criteria
Studies During Halfterm
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Visa
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Quiz
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Homework
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Attendance
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Application
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Lab
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Project
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Workshop
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Seminary
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Field study
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TOTAL
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The ratio of the term to success
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The ratio of final to success
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TOTAL
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Weekly Detailed Course Content
Week
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Topics
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1
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Indefinite Integrals
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2
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Changing Variables
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3
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Partial Integration and Reduction Relations
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4
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Seperation of The Simple Fractions
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5
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Trigonometric Integrals
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6
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Integral of Irrational Functions
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7
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Riemann Integral and Some Properties
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8
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Calculation of Area
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9
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Calculation of Volume
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10
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Length of Arc
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11
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Calculation of The Surface Area
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12
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Moment and Center of Gravity
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13
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Generalized integrals
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14
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Applications of Integral in Polar Coordinates
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