MA307 : Partial Differential Equations

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

03

Prerequisite

MA207MA304

Overview

The general objectives of the course in the form of outputs that the student is supposed to acquire after successful completion of the course are:

  • · Identify the basic concepts of partial differential equation and methods of solving semilinear partial differential equations.
  • · Using the Sharpe Method and the Cauchy Problem to Solve Partial Differential Equations.
  • · Identify the legal form of partial differential equations of the second order (minus - equivalent - hyperbolic).
  • · The use of partial differential equations in heat, wave, no place and the problem of initial and limit values.

Intended learning outcomes

The targeted learning outcomes of the course are:

A. Knowledge & (understand)

The basic information and key concepts that a student must acquire after successfully studying the course in the fields of knowledge and understanding are:

1

To familiarize the student with the basic concepts of partial differential equations.

2

Recalls the terms and theorems of partial derivation and connection.

3

The student should distinguish between the types of partial differential equations and their solutions in terms of different physical models.

4

The student should understand the solution of partial differential equations in heat, wave, and no place equations

B. Mental (skills)

The mental skills that the student acquires on analysis after studying the course successfully, and the ability to think creatively, identify and solve problems are:

1

The student should distinguish between ordinary differential equations and partial differential equations.

2

The student should propose several ways to solve the partial differential equation.

3

The student should compare the patterns of partial differential equations of the second order as minus and equivalent.

4

The student should discuss the equations of wave and temperature and Laplace mathematically clearly and logically.

C. Practical & Professional (Skills)

The skills that the student must acquire when studying the course successfully, in order to enable him to use what he has studied in professional applications, are:

1

Solve linear partial differential equations using standard methods.

2

Uses the Sharpe method and the Cauchy problem to solve partial differential equations

3

Analyze problems on the hypogenic – equivalent – hyperbolic pattern of second-order partial differential equations.

4

Diagnose a physical problem mathematically to solve it.

D. Generic (and transferable skills)

General skills or skills that can be used in the fields of work that the student must acquire when studying the course successfully, so that they can be applied in any field are:

1

Work in a team.

2

Solve problems by collecting and arranging information.

3

Use of the Internet and the library.

Teaching and learning methods

The methods and methods used in teaching the course are:

  • · Lectures.
  • · Panel Discussions
  • · Collection of information.

Methods of assessments

The types of assessment used in the process of teaching and learning the course to ensure that they achieve learning outcomes are:

Rating No.

Evaluation methods

Evaluation Duration

Evaluation weight

Percentage

Rating Date (Week)

First Assessment

First written exam

An hour and a half

25 scheduled

20%

Sixth

Second Assessment

Second written exam

An hour and a half

25 scheduled

20%

Eleventh

Third Assessment

Homework

Continuous Evaluation

Determined by the course instructor

10%

Determined by the course instructor

Final Evaluation

Final written exam

Two hours

All Course

50%

End of Semester

Total

100 degree

100%

(References )

Bibliography

Publisher

Version

Author

Where it is located

Textbooks

Introduction to partial differential equations

-

-

A. Tveito

Electronic version

Help Books

Partial differential equations

Differential Equations

Part II

Western Mountain University

-

Dr. Zawam Dallah and others

Dr. Hassan Mustafa Al-Owaidi and others

Department Library

Electronic version

الأصلي

استخدام بطريقة شارب و مسألة كوشي لحل ا لمعادلات التفاضلية الجزئية