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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
IMO 2107ANALYSIS 33 + 03rd Semester4

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.
Mode of Delivery Face to Face

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

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10PO 11PO 12PO 13PO 14
LO 0014323211434323 
LO 00232222  333  3 
LO 0035544434544343 
LO 0045544333424343 
LO 005554425 424342 
LO 0065544343444332 
LO 0075544333434332 
Sub Total32302425191914282127182018 
Contribution54343324343330

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)31442
Hours for off-the-classroom study (Pre-study, practice)14228
Assignments144
Mid-terms11212
Final examination11818
Total Work Load

ECTS Credit of the Course






104

4
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2023-2024 Fall1ÖZLEM GİRGİN ATLIHAN
Details 2023-2024 Fall1CANAN HAZAR GÜLEÇ


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
IMO 2107 ANALYSIS 3 3 + 0 1 Turkish 2023-2024 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. ÖZLEM GİRGİN ATLIHAN oatlihan@pau.edu.tr EGT A0233-03 %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
WeeksTopics
1 Multivariable functions
2 Topology of Rn
3 Limit
4 Continuity
5 Function sequence and series
6 Function sequence and series
7 Function sequence and series
8 Midterm Exam
9 Derivative, directional derivative
10 Partial derivative, geometric interpretation of partial derivative
11 Higher order derivatives and chain rule.
12 Applications involving extreme values in multivariable functions
13 Double integral
14 Area and volume calculations using double integrals
Materials
Materials are not specified.
Resources
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes