Education Information System

Course Title	Code	Semester	L+U Hour	Credits	ECTS
Mathematics II	MAT112	2. Semester	5 + 1	6.0	6.0

Prerequisites

None

Language of Instruction	Turkish
Course Level	Undergraduate
Course Type
Mode of delivery	Face to Face
Course Coordinator	Assoc. Prof. Dr. ZAKİR DENİZ
Instructors	ZAKİR DENİZ
Assistants
Goals	To teach indefinite integral, methods of indefinite integral,Properties of the integral, Theorems related with the Riemann integral,Applications of the Riemann integral (Calculation of Area, length of arc, volume and surface area), Generalized integrals and their properties, functions of several variables
Course Content	Integration methods, Riemann within the meaning of the definite integral, integral calculation of the basic theorems, by means of integral field, arc length, volume, rotary surface area calculation, improper integrals
Learning Outcomes	- Applies the methods of integration - Understand the applications of definite integral - Interpret the properties of generalized integrals. - Solves limit and continuity problems in highly variable functions

Week	Topics	Learning Methods
1. Week	Indefinite Integral, Indefinite Integration Rules, Variable Change Method	Verbal Expression
2. Week	Partial İntegration Method, Simple Fractionation Method	Verbal Expression
3. Week	Integral of Trigonometric Expressions	Verbal Expression
4. Week	Integration of Irrational Algebraic Expressions, Binomial Integral, Various Variable Substitutions	Verbal Expression
5. Week	The concept of definite integral, Division of interval, Sum of Riemann and definite integral definition	Verbal Expression
6. Week	Properties of Definite Integrals and Basic Theorems	Verbal Expression
7. Week	Properties of Definite Integrals and Basic Theorems	Verbal Expression
8. Week	Applications of Definite Integral: Area Calculation
9. Week	Applications of Definite Integral: Area Calculation	Verbal Expression
10. Week	Applications of Indefinite Integrals: Volume Calculation	Verbal Expression
11. Week	Applications of Definite Integral: Arc length, Area of Surface of Revolution	Verbal Expression
12. Week	Applications of Definite Integral: Moment and Center of Gravity	Verbal Expression
13. Week	Improper Integral	Verbal Expression
14. Week	ntroduction to Multivariable Functions, Definition of Multivariable Function and Definition Set., Limit, Continuity and Partial Derivative Concepts	Verbal Expression

Mustafa Balcı, Matematik Analiz, Cilt:I, II.

M.Balcı, H.Hacısalihoğlu, F.Gökdal Yüksek Temel ve Genel

Program Requirements	Contribution Level	DK1	DK2	DK3	DK4	Measurement Method
PY1	5	5	5	5	5	40,60

*DK = Course's Contrubution.

	0	1	2	3	4	5
Course's Level of contribution	None	Very Low	Low	Fair	High	Very High
Method of assessment/evaluation		Written exam	Oral Exams	Assignment/Project	Laboratory work	Presentation/Seminar

Event	Quantity	Duration (Hour)	Total Workload (Hour)
Midterm 1	1	50	50
Final	1	77.5	77.5
Total Workload			127.5
ECTS Credit of the Course			25.5 6.0