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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 606MATHEMATICAL ANALYSIS3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective To examine differential and integral calculus in n-dimensional Euclidean space and to introduce basic analysis concepts on manifolds.
Course Content R^n space topology, concept of compactness, continuous functions and differentiation, Riemann integral and differential forms in R^n , inverse and implict functions theorem, Stokes theorem for integral and differential forms on manifolds.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Knows linear, inner product and normed linear spaces.
2Learns the topological structure of R^n space.
3Learns the concepts of compactness and convergence in R^n space.
4Understands the differentiation and differential concepts in R^n space.
5Knows the Riemann integral and the Lebesgue Theorem.
6Calculates applications of multiple integrals.
7Knows the vector fields on the manifold.
8Applies the Stokes theorem on the manifold.
9Calculates line and surface integrals.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0014 5  5 5
LO 002 4 544  
LO 0035   4 44
LO 004 4 4 4  
LO 0055 454   
LO 006 4  55  
LO 00745  5   
LO 0085   4 55
LO 009 444    
Sub Total232113182618914
Contribution32123212

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course






195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2019-2020 Fall1MURAT BEŞENK


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 606 MATHEMATICAL ANALYSIS 3 + 0 1 Turkish 2019-2020 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. MURAT BEŞENK mbesenk@pau.edu.tr FEN A0316 %
Goals To examine differential and integral calculus in n-dimensional Euclidean space and to introduce basic analysis concepts on manifolds.
Content R^n space topology, concept of compactness, continuous functions and differentiation, Riemann integral and differential forms in R^n , inverse and implict functions theorem, Stokes theorem for integral and differential forms on manifolds.
Topics
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