Eskisehir Technical University Info Package Eskisehir Technical University Info Package
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About the Program Educational Objectives Key Learning Outcomes Course Structure Diagram with Credits Field Qualifications Matrix of Course& Program Qualifications Matrix of Program Outcomes&Field Qualifications
  • Faculty of Science
  • Department of Mathematics
  • Course Structure Diagram with Credits
  • Analysis IV
  • Description
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications

Course Introduction Information

Code - Course Title MAT328 - Analysis IV
Course Type Required Courses
Language of Instruction Türkçe
Laboratory + Practice 4+2
ECTS 7.0
Course Instructor(s) DOKTOR ÖĞRETİM ÜYESİ İLKNUR ATASEVER GÜVENÇ
Mode of Delivery The mode of delivery of this course is Face to face
Prerequisites There is no prerequisite or co-requisite for this course.
Courses Recomended Analysis 1, Analysis 2 ve Analysis 3.
Recommended Reading List
Assessment methods and criteria 2 midterms, 1 final exam and at least 3 quizzes
Work Placement N/A
Sustainability Development Goals

Content

Weeks Topics
Week - 1 Integration of functions of one variable. Properties of integral. The integral of a function of two variables.
Week - 2 The integral of a function of n variables. Properties of the iterative integrals. Integrable functions.
Week - 3 Measurable and zero volume sets.
Week - 4 Fubini Theorem. Integral over general regions.
Week - 5 Applications of integrations.
Week - 6 Changing of variable formula. Coordinate transformations in triple integration.
Week - 7 Improper integrals.
Week - 8 Line integrals. Line integrals of a function.
Week - 9 Line integrals of vector fields. Conservative vector fields.
Week - 10 Green Theorem
Week - 11 Surfaces, surface area. Surface integrals.
Week - 12 First and second kind surface integrals.
Week - 13 Applications of surface integrals.

Learning Activities and Teaching Methods

  • Teaching Methods
  • Lecture
  • Discussion
  • Question & Answer
  • Drill - Practise
  • Problem Solving

Assessment Methods

Assessment Method and Passing Requirements
Quamtity Percentage (%)
1.Midterm Exam 1 25
2.Midterm Exam 1 25
Final Exam 1 50
Toplam (%) 100
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