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

Course Introduction Information

Code - Course Title EMAT113 - Calculus I
Course Type Required Courses
Language of Instruction Türkçe
Laboratory + Practice 4+2
ECTS 7.5
Course Instructor(s) PROFESÖR ALİ DENİZ, PROFESÖR NÜLİFER ÖZDEMİR
Mode of Delivery This course is conducted as face-to-face and/or distance education.
Prerequisites None
Courses Recomended None
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.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 Basic Concepts: Real numbers and the real axis, Cartesian coordinates in the plane, Graphs of quadratic equations.
Week - 2 Functions and their graphs, Combining functions to make a new functions, Polinomials and rasyonel fonksiyonlar, Trigonometric functions
Week - 3 Limtis of functions, Limits at infinity and infinite limits, Continuity
Week - 4 Derivative: Tangent lines and their slopes, Differentiation rules, The chain rule
Week - 5 Derivative of trigonometric functions, Higher order derivatives
Week - 6 Mean value theorem, Increasing and decreasing functions
Week - 7 Implicit differentiation, Inverse functions
Week - 8 Exponential and logaritmik fonksiyonlar, Natural logarithm and exponential
Week - 9 Growth and decay, Inverse trigonometrik functions
Week - 10 Hyperbolic functions, Inverse hyperbolic functions, Indeterminate forms
Week - 11 Extreme values (extremal values of functions), Concavity and inflections
Week - 12 Applications of Derivative: Sketching the graph of a function
Week - 13 Extremum value problems
Week - 14 Taylor polynomials

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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