 Course Code :
MTH 212
 Level :
Undergraduate
 Course Hours :
3.00
Hours
 Department :
Department of Petroleum Engineering
Instructor information :
Area of Study :
Laplace transformation: Properties and theorems, Inverse transform, Solution of Ordinary differential equations and integral equations, Heaviside function and related theorems, Periodic functions and Dirac delta functions, Applications. Fourier series and transform: Usual and arbitrary period, Fourier series of odd and even functions, applications.
Numerical Analysis: Systems of linear and nonlinear algebraic equations, Ordinary differential equations : Euler, Modified Euler and Runge Kutta methods , Least square methods and Interpolation.
For further information :
Laplace transformation: definitions, properties and theorems, Inverse transform, Solution of ordinary differential and integral equations by Laplace transform, Heaviside function and related theorems, Periodic functions and Dirac delta functions, Applications, Vector analysis: scalar and vector fields, Directional derivative, gradient, divergence and curl, Gauss's and Stokes's theorems, Fourier series: usual and arbitrary period, Fourier series of odd and even functions, Definitions and properties of Fourier transform with applications, Partial differential equations: definitions, types D'fflambert solution of wave problem, Separation of variables for heat, wave, Laplace's equations in different systems of coordinates.
For further information :
Books:
Book

Author

Publisher

Advanced Engineering Mathematics

Warren S. Wright, Dennis G. Zill

Jones & Bartlett Learning

Course notes :
Handouts
Recommended books :
1 Robert T. Smith, Roland B Minton . Calculus: Early Transcendental Functions. 4th. edition.  McGraw – HILL International Edition, 2012.
2 – Erwin Kreyszig. "Advanced Engineering Mathematics", 10 edition, John Wiley& Sons, INC
3 Essential books (text books)
(i) Earl W.Swokowski, "Calculus with Analytic Geometry, Prindle, Weber & Schmidt
(ii) Peter V. O'Neil, "Advanced Engineering Mathematics", Thomson.
Periodicals :
www.sosmath.com, www.math.hmc.edu,
www.tutorial.math.lamar.edu,
www.web.mit.edu
For further information :