MA607 : Functional analysis

Department

Department of Mathematics

Academic Program

Master in Applied Mathematics

Type

Compulsory

Credits

03

Prerequisite

MA602

Overview

  • · Familiarity with the basic concepts, principles and methods of functional analysis and its applications.
  • · Familiarity with sports spaces, their types and characteristics
  • · Knowledge of effects and their applications, especially in the field of physics

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

Know the basic principles of functional analysis

2

The student gets acquainted with the types of sports spaces, their characteristics and operations

3

The student gets acquainted with the effects and their applications

B. Mental (skills)

The mental skills that the student acquires on analysis after studying the course successfully are:

1

The student analyzes the vocabulary of abstract problems

2

The student is introduced to the methods of using functional analysis tools theoretically and practically

3

The student can formulate mathematical models for some practical problems The student compares between abstract vocabulary and practical models using functional analysis

C. Practical & Professional (Skills)

The skills that a student must acquire when studying the course successfully are:

1

The student applies the basics and theorems of linear function to the space of functions related to practical problems

2

Ability to use analysis in practical matters

3

Ability to communicate, communicate and work in a team

D. Generic (and transferable skills)

The general skills or skills that can be used in the fields of work that the student must acquire when successfully studying the course are:

1

Work in a scientific team to solve problems related to functional analysis

2

Collaborate with engineers in building innovative models

3

Work in areas where the principles and tools of functional analysis are used

Teaching and learning methods

The methods and methods used in teaching the course are

  • · Lectures, solving, exercises and panel discussions
  • · Building scientific and practical models, collecting and formulating information
  • · Teach the student self-reliance in reading and understanding deep concepts from books and magazines

Methods of assessments

The types of assessment used in the process of teaching and learning the course are:

Rating No.

Evaluation methods

Evaluation Duration

Evaluation weight

Percentage

Rating Date (Week)

First Assessment

First midterm exam

2 hours

Decision25

20%

Sixth

Second Assessment

Second Midterm Exam

2 hours

25 scheduled

20%

Eleventh

Third Assessment

Assignments, exercises and discussion

Determined by the professor

Determined by the professor

10%

Determined by the professor

Final Evaluation

Final Exam

3 hours

All Course

50%

End of Semester

Total

100 degree

100%

(References)

Bibliography

Publisher

Version

Author

Where it is located

Textbooks

Introduction Function Analysis and applications

Erwin kreyszig

Internet

Help Books

Function Analysis with applications

A.H. SIDDIAI

Internet