1. FIRST CYCLE - BACHELOR'S DEGREE
  2. FACULTY OF SCIENCE AND LETTERS
  3. MATHEMATICS DEPARTMENT
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 337PARTIAL DIFFERENTIAL EQUATIONS4 + 05th Semester8

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Compulsory
Course Objective The aim of this course is to teach the fundamental concepts and various solution methods for partial differential equations.
Course Content Basic Concepts and Definitions, First Order Linear Equations, First Order Nonlinear Equations, Second Order Linear Equations.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Identifies and classifies the partially differential equations.
2Find the solution of the first oder linear and nonlinear equations.
3Classifies the second order equations.
4Improves the solution method for second order linear equations.
5Solves the secnd order equations by reducing to canonical forms.
6dentifies and comments the heat, wave and Laplace equations.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10
LO 001   3   44 
LO 002  3    54 
LO 003  3    45 
LO 004  4    44 
LO 005  3    55 
LO 006 43 3 455 
Sub Total 41633 42727 
Contribution0131101550

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14456
Mid-terms17272
Final examination18080
Total Work Load

ECTS Credit of the Course





208

8
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2019-2020 Fall1İBRAHİM ÇELİK


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 337 PARTIAL DIFFERENTIAL EQUATIONS 4 + 0 1 Turkish 2019-2020 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. İBRAHİM ÇELİK i.celik@pau.edu.tr FEN A0313 FEN B0216 %60
Goals The aim of this course is to teach the fundamental concepts and various solution methods for partial differential equations.
Content Basic Concepts and Definitions, First Order Linear Equations, First Order Nonlinear Equations, Second Order Linear Equations.
Topics
WeeksTopics
1 Basic Concepts and Definitions
2 First Order Equations: Classification, Construction, Geometrical Interpretation
3 First Order Equations: Method of Characteristics and General Solutions
4 First Order Equations: Method of Characteristics and General Solutions
5 First Order Equations: Canonical Forms of Linear Equations, Method of Seperation of Variables
6 Second Order Linear Equations: Classifications, Canonical Forms
7 Second Order Linear Equations: Equations with Constant Coefficients
8 Second Order Linear Equations: General Solutions
9 Midterm Exam
10 Second Order Linear Equations: Mathematical Models (Classical Equations)
11 Second Order Linear Equations: Homogeneous Wave Equation (Initial-Value Problem)
12 Second Order Linear Equations: Homogeneous Wave Equation (Initial Boundary-Value Problems)
13 Second Order Linear Equations: Homogeneous Wave Equation (Initial Boundary-Value Problems)
14 Second Order Linear Equations: Nonhomogeneous Wave Equations
Materials
Materials are not specified.
Resources
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam60Final Exam
Midterm Exam40Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes