>> Information For:   |   Prospective Students   |   Current Students   |   Alumni   |   Industry & Government   |   Faculty Members
Username : Password : Forgot password?
  MATH143:


Integral Calculus, Ordinary and Partial Differential Equations, and Series Solutions

4 Credit Hour Course
Intended For Level 1 Term 2 Students

Prerequisite: None

Integral Calculus: Definitions of integration; Integration by the method of substitutions; Integration by parts; Standard integrals; Integration by the method of successive reduction; Definite integrals and its properties and use in summing series; Walli’s formula, Improper integrals, Beta function and Gamma function; Area under a plane curve in cartesian and polar co-ordinates; Area of the region enclosed by two curves in cartesian and polar co-ordinates; Trapezoidal rule, Simpson’s rule. Arc lengths of curves in cartesian and polar co-ordinates, parametric and pedal equations; Intrinsic equation; Volume of solids of revolution; Volume of hollow solids of revolution by shell method. Area of surface of revolution; Jacobian, multiple integrals and their application.
Ordinary Differential Equation (ODE): Degree and order of ordinary differential equations; Formation of differential equations; Solution of first order differential equations by various methods; Solution of first order but higher degree ordinary differential equations; Solution of general linear equations of second and higher orders with constant coefficients; Solution of homogeneous linear equations and its applications; Solution of differential equations of higher order when dependent and independent variables are absent; Solution of differential equation by the method based on factorization of operators.
Partial Differential Equations (PDE): Four rules for solving simultaneous equations of the form; Lagrange’s method of solving PDE of order one; Integral surfaces passing through a given curve; Nonlinear PDE of order one (complete, particular, singular and general integrals): standard forms f(p,q) = 0, z = px + qy + f(p,q), f(p,q,z) = 0, f­1(x,p) = f2(y, q); Charpit’s method; Second order PDE: its nomenclature and classifications to canonical (standard)- parabolic, elliptic, hyperbolic; Solution by separation of variables. Linear PDE with constant coefficients.
Series Solution: Solution of differential equations in series by the method of Frobenius; Bessel’s functions, Legendre’s polynomials and their properties.




Department of Computer Science and Engineering, ECE building, Palashi, Dhaka, Bangladesh. The Department is part of the Faculty of Electrical and Electronic Engineering at the Bangladesh University of Engineering & Technology. No part or content of this website may be copied or reproduced without permission of the department authority. Contact info@cse.buet.ac.bd with questions or comments on this page.  [Development Credits]