 Course Code :
MTH 212
 Level :
Undergraduate
 Course Hours :
3.00
Hours
 Department :
Department of Mechanical Engineering
Instructor information :
Area of Study :
Demonstrate a conscious understanding of the concepts of integral transforms, Laplace and
Fourier transforms.
Develop students’ mathematical skills for the methods of solution of initial and boundary
values problems by using Laplace and Fourier Transforms, Fourier series, and Fourier
integrals.
Acquire skills for the application of Numerical methods to the solution of Mechanical
engineering problems.
For further information :
Laplace Transforms. Definitions. Properties and theorems. Inverse Laplace transforms.
Calculating of Laplace transforms, Periodic functions, unitstep functions, and Dirac
delta functions. Calculating of Inverse Laplace Transforms. Solution of Initial value
problems and integral equations by Laplace transforms. Fourier series. Periodic and
nonperiodic Functions. Series of odd and even functions. Convergence Theorem..
Definitions and properties of Fourier integrals and transforms. Finite Fourier transforms
and Applications. Numerical solution of nonlinear equations, Newton's method. Secant
method. Numerical solution of Initial Value problems. Euler, Modified Euler, and
Runge Kutta methods. Least Squares methods. Interpolation.
1 .
For further information :
Books:
Book

Author

Publisher

Advanced Engineering Mathematics

Warren S. Wright, Dennis G. Zill

Jones & Bartlett Learning

Course notes :
Handouts
Recommended books :
Erwin Kreyszig. "Advanced Engineering Mathematics", 10 editions, John Wiley& Sons, INC,
2010.
Earl W. Swokowski, "Calculus with Analytic geometry, Prindle, Weber & Schmidt
Peter V. O'Neil, "Advanced Engineering Mathematics", Thomson.
Web Sites :
o www.wolframalpha.com
o www.sosmath.com, www.math.hmc.edu,
o www.tutorial.math.lamar.edu,
o www.web.mit.edu
For further information :