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

Course Introduction Information

Code - Course Title EMAT114 - Calculus II
Course Type Required Courses
Language of Instruction Türkçe
Laboratory + Practice 4+2
ECTS 7.5
Course Instructor(s) PROFESÖR ALİ DENİZ, PROFESÖR NÜLİFER ÖZDEMİR, PROFESÖR ALİ DENİZ, PROFESÖR ALİ DENİZ
Mode of Delivery This course is conducted as face-to-face and/or distance education.
Prerequisites None
Courses Recomended Calculus I (Genel Matematik I)
Recommended Reading List Robert A. Adams and Christopher Essex, Calculus A Complete Course 10e, Pearson Education, 2021.Robert A. Adams , Christopher Essex, Kalkülüs Eksiksiz Bir Ders Cilt I, Palme Yayınevi, 2020.Robert A. Adams , Christopher Essex, Kalkülüs Eksiksiz Bir Ders Cilt II, Palme Yayınevi, 2017.George B. Thomas Jr., Maurice D. Weir, Joel R. Hass, Thomas Kalkülüs Cilt:1, Pearson Education Yayıncılık, 2013James Stewart, Kalkülüs: Diferansiyel ve İntegral Hesap, TÜBA Yayınları, 2007.Robert A. Adams , Christopher Essex, Kalkülüs Eksiksiz Bir Ders Cilt I, Palme Yayınevi, 2020.
Assessment methods and criteria Two midterm and one final exam.
Work Placement Two hours per week are spent for problem solving.
Sustainability Development Goals

Content

Weeks Topics
Week - 1 Sums and sigma notation, Areas as limits of sums
Week - 2 The definite integral, Properties of the definite integral
Week - 3 Fundamental theorem of calculus, The method of substitutions
Week - 4 Areas of plane regions, Integration by parts
Week - 5 Integration of rational functions, Inverse substitutions
Week - 6 Improper integrals
Week - 7 Volumes of solids of revolution
Week - 8 Arc length and surface area
Week - 9 Mass, moments and centre of mass, centroids
Week - 10 Sequences and convergence
Week - 11 Infinite series, Convergence tests for positive series
Week - 12 Absolute convergence, Power series
Week - 13 Taylor and Maclaurin series, The Binomial theorem and Binomial series
Week - 14 Complex numbers, Complex arithmetic, Roots of complex numbers

Learning Activities and Teaching Methods

  • Teaching Methods
  • Lecture
  • Discussion
  • Question & Answer
  • Problem Solving
  • Brain Storming
  • Competences
  • Productive
  • Rational
  • Questoning
  • Eleştirel düşünebilme
  • Abstract analysis and synthesis
  • Problem solving
  • Information Management
  • To work autonomously
  • Elementary computing skills
  • Decision making
  • To work in interdisciplinary projects

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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