#### General

Teacher Information Name: Anip Kumar Paul

Designation: Lecturer in Mathematics

Department: GED

Desk: Room #: 806, ABO4, DSC

Contact Number: 01780796061

Email: anip.ged@diu.edu.bd

**Course Rationale***Differential Equations, very important branch of modern mathematics, a technique for determining a function over its entire domain through some of its derivatives at a particular point. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. The term "differential equations" was proposed in 1676 by G. Leibniz. The first studies of these equations were carried out in the late 17th century in the context of certain problems in mechanics and geometry. Ordinary differential equations have important applications in the natural sciences and are extensively employed in mechanics, astronomy, physics, and in many problems of chemistry and biology. The computation of radio-technical circuits or satellite trajectories, studies of the stability of a plane in flight, and explaining the course of chemical reactions are all carried out by studying and solving ordinary differential equations. Differential Equations can describe how populations change, how heat moves, how springs vibrate, how radioactive material decays and much more. They are a very natural way to describe many things in the universe.***Course Objectives***Purpose of this course to indoctrinate the learner about Differential Equations and their solution technique which are extensively employed in our daily life. This study will he assist them to develop differential equations of various essentials problems and increase the capability of giving solution in different cases. From this course, students will learn:*· Performing derivatives and integrals

· Solving differential equation

· Identify ordinary and partial differential equation

· We can mark out the type and nature of the differential equation

· Demonstrate solution in under physical condition

· We can understand many functions with the rate of change of another function

**Course Outlines**CO

_{1}Set up differential equation of various engineering problem

CO

_{2}Solve differential equation in different engineering field

CO

_{3}Determine particular solution under physical condition

CO

_{4}Solving different partial differential equation

CO

_{5}Apply knowledge and skills to solve a problem

**Grading Policy****Grading Policy:****Marks out of 100****Letter Grade****Grade Point**80 - 100

A+

4.00

75 - 79

A

3.75

70 - 74

A-

3.50

65 - 69

B+

3.25

60 - 64

B

3.00

55 - 59

B-

2.75

50 - 54

C+

2.50

45 - 49

C

2.25

40 – 44

D

2.00

00 - 39

F

0.00

**Marks distribution:**Percentages of marks for the different heads are given below:

Attendance

07 %

Class Test

15 %

Assignment

05 %

Presentation

08%

Mid Term Exam

25 %

Final Exam

40 %

Total

100%

**Reference Text Book**1. Differential Equations by B.D. Sharma

3.Differential Equations by P. N. Chatterjee

3. Differential Equations by Md. Abu Yousuf

4. Differential Equations by Shepley L. Ross Get the book