Course description

(1)

Zarqa University Instructor:

Faculty: Since Lecture’s time:

Department: Mathematics Semester:

Course title: Partial Differential

equation (PDE)( 0301302) Office Hours:

Course description

:

This Course Specification provides a concise summary of the main features of the course and the learning outcomes that a typical student might reasonably be expected to achieve and demonstrate if student takes full advantage of the learning opportunities that are provided. It should be cross-referenced with the program specification.

Aims of the course

^:

1) To acquaint the students with the PDE in math., Physics and Engineering Science.

2) To provide the students with the ability to solve integral equations of higher order and methods of solution.

3) To help the students acquire cognitive skills through thinking and problem solving.

4) To help the students become responsible for their own learning through solutions of assignments and time management

5) Develop an understanding of basic PDE principles, theories and concepts, and of the methods of analysis used by mathematics.

6) Prepare students to use the tools of mathematics reasoning to explain, analyze and resolve PDE issues, and evaluate decisions..

Intended Learning Outcomes: (ILOs) A. Knowledge and Understanding

A1. Concepts and Theories:

 New theories and concepts of PDE.

 Analytical procedures for solving PDE.

the importance of PDE and its applications in mathematics ,

A2. Contemporary Trends, Problems and Research:

 Structured course materials delivered through a sequential delivery of lectures, with anintroductory lecture focusing on the significance of the course

(2)

 Interactive learning process through questions and answers in class.

 Problem solving classes and discussion.

 Using whiteboard in describing topic.

 Encouraging student to attend classes and tutorials.

A3. Professional Responsibility:

 Exams and homework are used to assess the acquired knowledge on the subject.

 Short quizzes at the end of each topic are used to evaluate the student understanding.

B. Subject-specific skills B1. Problem solving skills:

 Students will be able to apply the fundamentals of PDE that they have learned in this course to solve problems in PDE

 The students will develop the ability to think independently and solve problems on his own

The students are encouraged to be organized and systematic in solving problems .

B2. Modeling and Design:

 Lectures are followed by numerous examples, some of which are practical in nature, to illustrate the application of learned theories.

 Problem classes are used to explain further the theories and to help the students apply them in solving problems.

 Classroom student interaction with questions and answers.

B3. Application of Methods and Tools:.

 Exams and homework will include problems, solution of which

(3)

C. Critical-Thinking Skills

C1 .Description of the interpersonal skills and capacity to carry responsibility to be developed

 Punctual attendance of classes and tutorials

 Responsibility to solve given assignments on their own and submit the solution on time.

 Time management in study of course materials.

Use of university library and web search for collecting information

C2.Teaching strategies to be used to develop these skills and abilities

 Assignments are given to the students at regular intervals and count for 10%

of the final grade. Late or no submission of assignments carries penalties or loss of grade points.

 Participation of students in classroom discussion.

C3 . Methods of assessment of students interpersonal skills and capacity to carry responsibility

 Class attendance of students at the beginning of the lecture is recoded.

 Recording of submission of assignment and the grades.

D. General and Transferable Skills (other skills relevant to employability and personaldevelopment)

D1 ) Description of the skills to be developed in this domain .

Ability of the students to apply basic knowledge of mathematics in solving partial differential equations.Effective communication with the lecturer and colleague

D2) Teaching strategies to be used to develop these skills

Test questions and assignments that require students’ knowledge in mathematics and their computational capabilities for solving problems in PDE

.

(4)

Course structures:

Wee k

Credi t

Hours ILOs Topics Teaching

Procedure

Assessment methods

1 3 A1 Introduction to

PDEs, Classification of PDEs

Lecture,oral Inquiry,discussion

data show

participation question

quiz

2 3 A1,B1,C1,D

1 Derivation of Heat equation, Separation of variables

data show

participation question, quiz,

home work

3 3 A1,B1,C1,D

1 Transforming

Nonhomogeneous BCs

Lecture,oral Inquiry,discussion Datasho

w

home work

4 3 A1,B1,C1,D

1 Transforming Hard equations into Easier

w

home work

5 3 A1,B1,C1,D

1 Solving

Nonhomogeneous PDEs eigenfunction Exponsions

w

home work

6 3 A1,B1,C1,D

1 Integral

transforms(sine and cosine transforms (.

Lecture,oral Inquiry,discussion datashow

home work

7 3 A1,B1,C1,D

1 The Fourier series and transform

home work

8 3 A1,B1,C1,D

1 The Fourier

transform and its Application

home work

9 3 A1,B1,C1,D

1 The Laplace Transform

home work

10 3 A1,B1,C1,D

1 Duhamel's Principle Lecture,oral Inquiry,discussion datashow

home work

11 3 A1,B1,C1,D

1 The One

Dimensional wave

(5)

12 3 A1,B1,C1,D

1 The D'Alembert solution of the Wave Equation.

home work

13 3 A1,B1,C1,D

1 Classification of PDEs (canonical form of the hyperbolic equation)

home work

14 3 A1,B1,C1,D

1 Solve PDEs

by(canonical form of the hyperbolic equation.

home work

References:

A. Main Textbook:

Partial Differential Equations for Scientists Engineers , Stanley J. Farlow ,

.A

Dover publications,INC. New York, 2015 .

B. Supplementary Textbook(s):

Fourier series, Transforms, and boundary value problems, second edition , J.Ray Hanna , Wiley- Interscience publication, 2015.

Assessment Methods:

Methods Grade Date

First Exam: 20% 25/11/2019

Second Exam:, 20% 29/12/2019

Assignments & Quizzes:, 10%

Final Exam: 50% /1/2019

Assignments: 5% For the Not Book hand write

& Quizzes