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THIRD CYCLE - DOCTORATE DEGREE
THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
MATHEMATICS DEPARTMENT
1781 Mathematics PhD
Course Information
Course Learning Outcomes
Course's Contribution To Program
ECTS Workload
Course Details
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COURSE INFORMATION
Course Code
Course Title
L+P Hour
Semester
ECTS
MAT 611
ANALYTICAL METHODS IN APPLIED MATHEMATICS
3 + 0
2nd Semester
7,5
COURSE DESCRIPTION
Course Level
Doctorate Degree
Course Type
Elective
Course Objective
To teach analytical solution techniques of mathematical models encountered in most engineering problems.
Course Content
Fourier analysis, Sturn-Liouville theory, Definition and classification of partial differential equations, The method of separation of variables, Integral transform methods.
Prerequisites
No the prerequisite of lesson.
Corequisite
No the corequisite of lesson.
Mode of Delivery
Face to Face
COURSE LEARNING OUTCOMES
1
Learn Fourier analysis.
2
Learn Sturn-Liouville theory.
3
Defines and classifies partial differential equations.
4
Solves partial differential equations by the method of separation of variables.
5
Learn integral transform methods.
COURSE'S CONTRIBUTION TO PROGRAM
PO 01
PO 02
PO 03
PO 04
PO 05
PO 06
PO 07
PO 08
PO 09
LO 001
LO 002
LO 003
LO 004
LO 005
Sub Total
Contribution
0
0
0
0
0
0
0
0
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)
14
3
42
Hours for off-the-classroom study (Pre-study, practice)
14
7
98
Assignments
1
5
5
Mid-terms
1
15
15
Final examination
1
35
35
Total Work Load
ECTS Credit of the Course
195
7,5
COURSE DETAILS
Select Year
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2023-2024 Fall
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2021-2022 Fall
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2018-2019 Fall
Course Term
No
Instructors
Details
2019-2020 Fall
1
AYŞEGÜL DAŞCIOĞLU
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Course Details
Course Code
Course Title
L+P Hour
Course Code
Language Of Instruction
Course Semester
MAT 611
ANALYTICAL METHODS IN APPLIED MATHEMATICS
3 + 0
1
Turkish
2019-2020 Fall
Course Coordinator
E-Mail
Phone Number
Course Location
Attendance
Prof. Dr. AYŞEGÜL DAŞCIOĞLU
aakyuz@pau.edu.tr
FEN A0207 FEN B0312
%70
Goals
To teach analytical solution techniques of mathematical models encountered in most engineering problems.
Content
Fourier analysis, Sturn-Liouville theory, Definition and classification of partial differential equations, The method of separation of variables, Integral transform methods.
Topics
Weeks
Topics
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Materials
Materials are not specified.
Resources
Resources
Resources Language
Farlow, Stanley J. , Partial Differential Equations for Scientists and Engineers, Dover Publications, New York, 1993.
English
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
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Home Page
About University
Name And Address
Acedemic Authorities
General Discription
Academic Calendar
General Admission Requirements
Recognition of Prior Learning
General Registration Procedures
ECTS Credit Allocation
Academic Guidance
Information For Students
Cost Of Living
Accommodation
Meals
Medical Facilities
Facilities for Special Needs Students
Insurance
Financial Support for Students
Student Affairs
Learning Facilities
International Programs
Language Courses
Internships
Sports Facilities and Leisure Activities
Student Associations
Practical Information for Mobile Students
Degree Programmes