MA407 : Mathematical Methods

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

03

Prerequisite

MA307MA308

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:
  • · Recognize the importance of the Fourier series and the convergence, integration and Fourier transformation in applied mathematics.
  • · The student gets to know some important integrative transformations.
  • · Study of special functions and their generating functions and properties.
  • · Using the main applied methods to solve partial differential equations.

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

The student should recognize the Fourier series and the various transformations and use them to solve many problems.

2

The student should enumerate the integral transformations and their characteristics.

3

The student should explain special functions such as gamma beta and Wesl functions and gender limits and their use in solving physical problems.

4

The student should use special functions and integral transformations to solve partial differential 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 solves a large number of problems related to the mentioned topics.

2

The student should compare the transfers Faure, Laplace and Mylene Hillberia.

3

The student discusses the polynomials of Legend, Hermit and Lager.

4

The student should distinguish the different applications in the applied fields and link them to the mathematical methods he studies in the course.

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

The student should use Fourier series to obtain special values such as the number .

2

The student should solve some differential equations by the Laplace transform.

3

The student should compare between special functions, including gamma function and beta function.

4

The student should use special functions to solve physical problems in electricity and heat transfer.

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

The student will be able to communicate and communicate in writing and orally through solving exercises on the board and through short and semester exams.

2

The student is able to work in teams by writing papers on some topics in a team of two or three

Teaching and learning methods

The methods and methods used in teaching the course are:

  • lectures.
  • Discussion and solving exercises.

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

Written test (first)

An hour and a half

25 scheduled

25%

Sixth

Second Assessment

Written test (second)

An hour and a half

25 scheduled

25%

Eleventh

Final Evaluation

Written test (final)

Two hours

All Course

50%

End of Semester

Total

100°

100%