PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
IMO 2107	ANALYSIS 3	3 + 0	3rd Semester	4

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	he aim of this course is to teach prospective teachers' multivariate functions, the topology of Rn, graph drawings of bivariate functions, limit and continuity, partial derivative, geometric interpretation of partial derivative, higher order derivatives and chain rule, local extremum values, absolute extremum values and their applications. The concept of double integral, double integral area and volume calculations to provide the development of operational skills.
Course Content	Multivariable functions; Topology of Rn, limit, continuity, function sequence and series; derivative, directional derivative, partial derivative, geometric interpretation of partial derivative, higher order derivatives and chain rule.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.

COURSE LEARNING OUTCOMES

1	Knows the concept of multivariable function, the topology of Rn.
2	Knows definition image set and graphic drawings of functions of two variables.
3	Knows the concept of limit in functions of two variables.
4	Knows the concept of continuity in functions of two variables.
5	Knows partial derivative in multivariable functions, geometric interpretation of partial derivative, higher order differentiation and chain rule.
6	Knows applications involving extreme values in multivariable functions.
7	Knows the concept of double integral and applications including area and volume calculations with the help of double integral.

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12	PO 13	PO 14
LO 001	4	3	2	3	2	1	1	4	3	4	3	2	3
LO 002	3	2	2	2	2			3	3	3			3
LO 003	5	5	4	4	4	3	4	5	4	4	3	4	3
LO 004	5	5	4	4	3	3	3	4	2	4	3	4	3
LO 005	5	5	4	4	2	5		4	2	4	3	4	2
LO 006	5	5	4	4	3	4	3	4	4	4	3	3	2
LO 007	5	5	4	4	3	3	3	4	3	4	3	3	2
Sub Total	32	30	24	25	19	19	14	28	21	27	18	20	18
Contribution	5	4	3	4	3	3	2	4	3	4	3	3	3	0

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	3	14	42
Hours for off-the-classroom study (Pre-study, practice)	14	2	28
Assignments	1	4	4
Mid-terms	1	12	12
Final examination	1	18	18
Total Work Load ECTS Credit of the Course			104 4

COURSE DETAILS

Select Year

	Course Term	No	Instructors
Details	2026-2027 Fall	1	EBRU MUTLU

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester	Mode of Delivery
IMO 2107	ANALYSIS 3	3 + 0	1	Turkish	2026-2027 Fall	Face to Face

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Lecturer EBRU MUTLU	emutlu@pau.edu.tr		EGT A0232-03	%70

Goals		he aim of this course is to teach prospective teachers' multivariate functions, the topology of Rn, graph drawings of bivariate functions, limit and continuity, partial derivative, geometric interpretation of partial derivative, higher order derivatives and chain rule, local extremum values, absolute extremum values and their applications. The concept of double integral, double integral area and volume calculations to provide the development of operational skills.
Content		Multivariable functions; Topology of Rn, limit, continuity, function sequence and series; derivative, directional derivative, partial derivative, geometric interpretation of partial derivative, higher order derivatives and chain rule.

Topics

Weeks	Topics
1	introduction of course content
2	multivariate functions
3	multivariate functions
4	the topology of Rn
5	graph drawings of bivariate functions
6	graph drawings of bivariate functions
7	limit
8	limit
9	continuity
10	partial derivative
11	partial derivative
12	absolute extremum values and their applications
13	the concept of double integral
14	calculating area and volume with double integrals

Materials

Materials are not specified.

Resources

Resources	Resources Language
Genel Matematik, Analiz-Mustafa Balcı	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student