Course Information


Course Information
Course Title Code Semester L+U Hour Credits ECTS
MATHEMATICS 2 AYBS106 2. Semester 0 + 0 0 5.0

Prerequisites None

Language of Instruction Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Mode of delivery Oral and writing presentation, question and answer, discussion
Course Coordinator
Instructors
Assistants
Goals This lecture deals with the applications of derivative in curve scetching and some limits. Also definite and indefinite integrals and some of their applications.
Course Content The applications of derivative in curve scetching and some limits, evaluation of definite and indefinite integrals and applications
Learning Outcomes 1) Knows to scetch the graph of a given function.
2) Recognizes the indeterminite forms and evaluates the limits.
3) Knows the definitions of the differential and linear approximation. Obtains the differential of composition of functions.
4) Explains the concept of antiderivative. Evaluates the indefinite integral.
5) Calculates the double integrals
6) Calculates the area and volume using double integrals.

Weekly Topics (Content)
Week Topics Teaching and Learning Methods and Techniques Study Materials
1. Week Concavity, inflection point. Indeterminate forms (L’Hospital's rule) Lecture; Question Answer; Problem Solving
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
2. Week Asymptotes, curve scetching Lecture; Question Answer; Problem Solving
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
3. Week Curve scetching Lecture; Question Answer; Problem Solving
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
4. Week Differential and linear approximation. Lecture; Question Answer; Problem Solving
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
5. Week Antiderivative. Basic properties of integrals. Methods of integrations (Integration by substitution, integration by parts) Lecture; Question Answer; Problem Solving
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
6. Week Integration of rational functions. Trigonometric substitutions. Lecture; Question Answer; Problem Solving
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
7. Week Integration of irrational functions. Lecture; Question Answer; Problem Solving
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
8. Week Midterm Question Answer

 Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
9. Week The Definite Integral. Fundamental theorem of integral calculus. Lecture; Question Answer; Problem Solving
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
10. Week Volumes by the method of cross sections, solids of revolution- disks and the method of cylindrical shells. Lecture; Question Answer; Problem Solving
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
11. Week Improper integrals (I and II. Types) Lecture; Question Answer; Problem Solving
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
12. Week Tests for convergence of the improper Integrals for types I and II. Lecture; Question Answer; Problem Solving
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
13. Week Double integrals Lecture; Question Answer; Problem Solving
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)
14. Week Area and volume by double integration. Lecture; Question Answer; Problem Solving
Colloquium
Problem Based Learning; Brain Based Learning 		Presentation (Including Preparation Time)

Sources Used in This Course
Recommended Sources
Edwards&Penney, Calculus and analytic geometry
Kalkülüs, Tüba Yayınları
Mustafa Balcı, Genel Matematik I

Relations with Education Attainment Program Course Competencies
Program RequirementsContribution LevelDK1DK2DK3DK4DK5DK6
PY15555555
PY25555555
PY35555555
PY45555555
PY75555555

*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 4
Work Hour outside Classroom (Preparation, strengthening) 14 4
Homework 1 5
Activity (Web Search, Library Work, Trip, Observation, Interview etc.) 14 2
Midterm Exam 1 1
Time to prepare for Midterm Exam 1 1.5
Final Exam 1 1
Time to prepare for Final Exam 1 1.5
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