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 I
  • Description
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications

Course Introduction Information

Code - Course Title MAT221 - Analysis I
Course Type Required Courses
Language of Instruction Türkçe
Laboratory + Practice 4+2
ECTS 7.0
Course Instructor(s) PROFESÖR NİHAL EGE, DOKTOR ÖĞRETİM ÜYESİ NİSA ASLAN
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 MAT199 Calculus I, MAT196 Calculus II
Recommended Reading List Göğüş, M., Koçak, Ş., Tayfur, C., Üreyen, M., (1985) Matematik I, EskişehirKoçak, M.,(2008), Analize Giriş I, Eskişehir
Assessment methods and criteria 2 Midterms, 1 Final exam. All exams will be written exam.
Work Placement N/A
Sustainability Development Goals

Content

Weeks Topics
Week - 1 Definition of sequence, Convergence of sequence, Monotone sequences, Subsequences
Week - 2 Cauchy sequence, Geometric sequence, Accumulation points, Series, Convergence of series
Week - 3 Geometric series, Positive series , Comparison theorems, Ratio test, Root test, Leibniz theorem, Absolute convergence
Week - 4 Continuity and Limit
Week - 5 Continuous functions on compact intervals, Intermediate value theorem
Week - 6 Function sequences and function series, Power series
Week - 7 Derivative
Week - 8 Derivative, Properties of derivatives
Week - 9 Local maximum and local minimum, Rolle's theorem, Mean value theorem
Week - 10 Derivatives of function and power series
Week - 11 Inverse functions, Exponential function, Logarithms, General exponentials Trigonometric functions, Hyperbolic functions
Week - 12 Inverse functions, Exponential function, Logarithms, General exponentials Trigonometric functions, Hyperbolic functions
Week - 13 Indeterminate forms, Sketching the graph of a function

Learning Activities and Teaching Methods

  • Teaching Methods
  • Lecture
  • Question & Answer
  • Drill - Practise
  • Problem Solving
  • Competences
  • Productive
  • Effective use of Turkish
  • Elementary computing skills

Assessment Methods

Assessment Method and Passing Requirements
Quamtity Percentage (%)
1.Midterm Exam 1 20
2.Midterm Exam 1 30
Final Exam 1 50
Toplam (%) 100
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