Course Information


Course Information
Course Title Code Semester L+U Hour Credits ECTS
CALCULUS MAT137 1. Semester 2 + 0 2.0 4.0

Prerequisites None

Language of Instruction Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Mode of delivery
Course Coordinator
Instructors Rabia AKTAŞ
Assistants
Goals This lecture deals with limit, continuity, derivative, application of derivative of univariate functions.
Course Content Function, limit, continuity, derivative, application of the derivative.
Learning Outcomes 1) Recognizes basic elementary functions
2) Knows the definitions of limit, continuity and derivative and evaluates limits
3) Obtains the derivatives of elementary functions. Finds the derivative of the composition of functions
4) Decides some properties of the functions such as increasing, decreasing, convexity concavity by using derivative

Weekly Topics (Content)
Week Topics Teaching and Learning Methods and Techniques Study Materials
1. Week Definition of function, one to one function, onto function, into function Lecture; Question Answer; Problem Solving; Discussion
Brainstorming; Colloquium
Problem Based Learning 		Homework
2. Week Composite function, Inverse function, Basic elementary functions. Lecture; Question Answer; Problem Solving; Discussion
Brainstorming; Colloquium
Problem Based Learning 		Homework
3. Week Some practical drawings,Trigonometric functions. Lecture; Question Answer; Problem Solving; Discussion
Brainstorming; Colloquium
Problem Based Learning 		Homework
4. Week Inverse Trigonometric functions, Exponential and Logarithmic functions. Lecture; Question Answer; Problem Solving; Discussion
Brainstorming; Colloquium
Problem Based Learning 		Homework
5. Week Definition of the limit, one sided limits Lecture; Question Answer; Problem Solving; Discussion
Brainstorming; Colloquium
Problem Based Learning 		Homework
6. Week Basic trigonometric limits Lecture; Question Answer; Problem Solving; Discussion
Brainstorming; Colloquium
Problem Based Learning 		Homework
7. Week The concept of continuity. Lecture; Question Answer; Problem Solving; Discussion
Brainstorming; Colloquium
Problem Based Learning 		Homework
8. Week Midterm Question Answer; Problem Solving
Brainstorming
Problem Based Learning 		Homework
9. Week Properties of continuous functions on the closed interval-Intermediate value theorem, Bolzano's theorem, local and absolute maxima and minima.. Question Answer; Problem Solving; Discussion
Brainstorming; Colloquium
Problem Based Learning 		Homework
10. Week The Derivative. Basic differentiation rules. Derivative of inverse function. Derivative of trigonometric and inverse trigonometric functions. Question Answer; Problem Solving; Discussion
Brainstorming; Colloquium
Problem Based Learning 		Homework
11. Week Derivatives of Logaritmic and exponential functios. Logarithmic differentiation Question Answer; Problem Solving; Discussion
Brainstorming; Colloquium
Problem Based Learning 		Homework
12. Week Derivative of parametric functions, implicit differentiation, higher order derivatives Question Answer; Problem Solving; Discussion
Brainstorming; Colloquium
Problem Based Learning 		Homework
13. Week Geometric meaning of derivative, increasing and decreasing functions, local extrema Question Answer; Problem Solving; Discussion
Brainstorming; Colloquium
Problem Based Learning 		Homework
14. Week maximum-minimum problems, L'Hospital rule Question Answer; Problem Solving; Discussion
Brainstorming; Colloquium
Problem Based Learning 		Homework

Sources Used in This Course
Recommended Sources
Genel Matematik I Prof. Dr. Mustafa BALCI
Thomas Calculus, George B. Thomas

Relations with Education Attainment Program Course Competencies
Program RequirementsContribution LevelDK1DK2DK3DK4
PY155555
PY255555
PY355555

*DK = Course's Contrubution.
0 1 2 3 4 5
Level of contribution None Very Low Low Fair High Very High
.

ECTS credits and course workload
Event Quantity Duration (Hour) Total Workload (Hour)
Course Duration (Total weeks*Hours per week) 14 2
Work Hour outside Classroom (Preparation, strengthening) 14 3
Midterm Exam 1 1.5
Time to prepare for Midterm Exam 1 25
Final Exam 1 1.5
Time to prepare for Final Exam 1 30
Total Workload
Total Workload / 30 (s)
ECTS Credit of the Course
Quick Access Hızlı Erişim Genişlet
Course Information
  • Course Information
  • Weekly Topics (Content)
  • Sources Used in This Course
  • Relations with Education Attainment Program Course Competencies
  • ECTS credits and course workload