MA601 : Ordinary Differential Equations

Department

Department of Mathematics

Academic Program

Master in Applied Mathematics

Type

Compulsory

Credits

03

Prerequisite

Overview

The outcomes that the student is supposed to acquire after successful completion of the course are:

  • · The student is introduced to the solutions of differential equations, especially the only solution.
  • · The student will be acquainted with the necessary and sufficient conditions for the existence of the only solution theory of existence and oneness (Picard theory + and Piano theory).
  • · The student connects differential equations with integral equations.
  • · The student learns about stable solutions and how to find them.

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 recognizes the only solution and the conditions for its existence.

2

The student explains that solving a differential equation is a consecutive limit of continuous functions.

3

The student is introduced to the system of homogeneous equations and the existence of their solutions.

4

The student identifies stable solutions to equations.

B. Mental (skills)

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

1

The student relates the differential equation to the integral equation.

2

The student explains the difference between a general solution, a special solution, and a single solution.

3

The student acquires sufficient skill in converting a higher-order differential equation into a system of first-order equations.

4

The student discusses the stability of solutions to differential equations.

C. Practical & Professional (Skills)

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

1

Ability to solve physical problems and applications.

2

The student designs mathematical models of physical problems.

3

The student converts a system of differential equations into a differential equation of a higher order.

4

The student distinguishes between stable and unstable solutions

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

The student's ability to solve problems that may face him.

2

Ability to work in a team.

3

Using modern technology in searching for information.

D4

Ability to communicate, communicate in writing, orally and work in a team

Teaching and learning methods

The methods and methods used in teaching the course are:

  • · Theoretical lectures
  • · Solve examples and exercises
  • · Assignments + Tests

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

Two hours

25 scheduled

20%

Sixth

Second Assessment

Second Midterm Exam

Two hours

25 scheduled

20%

Eleventh

Third Assessment

Duties

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%

Bibliography

Publisher

Version

Author

Where it is located

Textbooks

Ordinary differential equations

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-

Cooding and levions

Internet