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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 202ANALYSIS - IV4 + 24th Semester8

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Compulsory
Course Objective The aim of this course is to teach some basic concepts of series and functions of several veriables. .
Course Content Bazı Topolojik Kavramlar, Çok Değişkenli Fonksiyonlar, Kısmi Türevler, Zincir Kuralı, Tam Diferansiyel, Kapalı Fonksiyonların Türevi, Herhangi bir Yönde Türev Almak, İki Değişkenli Fonksiyonların Taylor Açılımı, Fonksiyonel Bağımlılık, Maksimum ve Minimumlar, İki Katlı İntegrallerin Uygulamaları, Üç Katlı İntegrallarin Uygulamaları, Eğrisel İntegraller ve Uygulamaları, Yüzey İntegralleri.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Some basic topological concepts are learnt according to the aim.
2Learns the partial derivarive of multi - variable functions, chain rule, exact differential, deriative of the implicit function, directional derivative, Taylor series expansion of two variable functions, functional dependent, maximum and minimum. Construct a relation between one variable functions and these properties.
3Learns and solves the Riemann integral, by associating it with double integral. Also applies the area and volume calculations.
4Learns and solves the Riemann integral, by associating it with triple integral. Also applies the area and volume calculations.
5Learns and solves the Riemann integral, by associating it with line integral. Also applies the area, length of line and work calculations.
6earns surface integral and assocites double integral with line integral.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10
LO 001 33  4 55 
LO 002 33  4 45 
LO 003 43  3 54 
LO 004 34  4 54 
LO 005 44  4 54 
LO 006 34  3 45 
Sub Total 2021  22 2827 
Contribution0340040550

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14684
Hours for off-the-classroom study (Pre-study, practice)14684
Mid-terms12222
Final examination11818
Total Work Load

ECTS Credit of the Course






208

8
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2023-2024 Spring1ÖZLEM GİRGİN ATLIHAN
Details 2022-2023 Spring1ÖZLEM GİRGİN ATLIHAN
Details 2021-2022 Spring1ÖZLEM GİRGİN ATLIHAN
Details 2020-2021 Spring1MEHMET ALİ SARIGÖL
Details 2019-2020 Spring1MEHMET ALİ SARIGÖL
Details 2018-2019 Spring1MEHMET ALİ SARIGÖL
Details 2017-2018 Spring1MEHMET ALİ SARIGÖL
Details 2016-2017 Spring1MEHMET ALİ SARIGÖL
Details 2015-2016 Spring1MEHMET ALİ SARIGÖL
Details 2014-2015 Spring1MEHMET ALİ SARIGÖL
Details 2013-2014 Spring1MEHMET ALİ SARIGÖL
Details 2012-2013 Spring1MEHMET ALİ SARIGÖL
Details 2011-2012 Spring1MEHMET ALİ SARIGÖL
Details 2010-2011 Spring1MEHMET ALİ SARIGÖL
Details 2009-2010 Spring1MEHMET ALİ SARIGÖL
Details 2008-2009 Spring1MEHMET ALİ SARIGÖL
Details 2007-2008 Spring1MEHMET ALİ SARIGÖL
Details 2006-2007 Spring1MEHMET ALİ SARIGÖL
Details 2005-2006 Spring1MEHMET ALİ SARIGÖL
Details 2004-2005 Spring1MEHMET ALİ SARIGÖL
Details 2003-2004 Spring1MEHMET ALİ SARIGÖL
Details 2002-2003 Spring1MEHMET ALİ SARIGÖL
Details 2001-2002 Spring1MEHMET ALİ SARIGÖL


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 202 ANALYSIS - IV 4 + 2 1 Turkish 2023-2024 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. ÖZLEM GİRGİN ATLIHAN oatlihan@pau.edu.tr FEN A0216 FEN A0315 %60
Goals The aim of this course is to teach some basic concepts of series and functions of several veriables. .
Content Bazı Topolojik Kavramlar, Çok Değişkenli Fonksiyonlar, Kısmi Türevler, Zincir Kuralı, Tam Diferansiyel, Kapalı Fonksiyonların Türevi, Herhangi bir Yönde Türev Almak, İki Değişkenli Fonksiyonların Taylor Açılımı, Fonksiyonel Bağımlılık, Maksimum ve Minimumlar, İki Katlı İntegrallerin Uygulamaları, Üç Katlı İntegrallarin Uygulamaları, Eğrisel İntegraller ve Uygulamaları, Yüzey İntegralleri.
Topics
WeeksTopics
1 Some Topological Concepts,
2 Multivariate Functions,
3 Partial Derivatives,
4 The Chain Rule,
5 Exact Differential
6 Derivative Of Implicit Functions
7 Take The Derivatives of Functions on Any Direction,
8 Taylor Series Expansion of functions of two variables,
9 Midterm Exam
10 Functional Dependency,
11 Maximum and Minimums,
12 Applications of double integrals,
13 Applications of triple integrals,
14 Line integrals and applications, Surface integral.
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