Course objective :

The course develope students fundamental skills of solving ordinary differential equations and developing differential equations for real world problems. 

Learning out comes: After the completion of the course, students will be able to 

(i)To  Construct linear differential equations.

(ii)  To solve liear differential equation by different methods. 

(iii)  To construct non linear differential equations. 

(iv)  To solve non linear differential equations by different methods. 

Course contents :

Introduction to differential equations, first order differential equations, modeling with first order differential equations. Higher order differential equations. Undetermined coefficients superposition approach. Undetermined coefficient Annihilator approach. Variation of parameters. Cauchy Euler equations. Solving systems of linear differential equations by elimination. Non-linear differential equations. Modeling with higher order differential equations. Linear modeling.Initial value problems, boundary values problems. Non linear models. Series solutions of linear equations. System of linear first order differential equations. Homogeneous linear systems and non-homogeneous linear sysytem of first order differential equations. Matrix exponential, Numerical solutions of ordinary differential equations. Euler method, Rung-Kutta method, multistep method, higher order equations and system of second order boundary value problems. 

Recomended Book: 

A first course in differential equations by Dennis G. Zill, Brooks cole, 10th Editiin (March 15,2012) ISBN. 10:1111827052.

Suggeated Books:

(i) Advance engineering mathematics by Erwin Kreyszig :10th Edition (August 16,2011) ISBN. 10:0470458364.

(ii) Differential equations with boundary value problems by Dennis G. Zill, Michal R.Cullen,Brooks code, 8th edition (March 15 ,2012)ISBN.10:1111827060.

(iii) Elementry differential equation with applications by C. H. Edward, David E penney, person, 3rd Edition (Octobr 20 ,2008) ISBN. 10:0136054250.

Assignment :

(i)  Formation linear differential equations. 

(ii)  Formation of non linear differential equations. 

Assessment Criteria :

Sessional:20(Assignments,10,Attandane 05,Quiz 05)

Mid-Term Exam 30

Final -Term Exam 50

Key dates and Time of class meeting :

Monday : 2pm-3:30pm.

Friday:12 noon-1:20pm.

Commencement of class, Jan 13,2020.

Mid term exam, March, 9-13,2020.

Final term exam, May, 04-08,2020.

Declaration of result, May, 19,2020.