Symbolic mathematics software have played an important role in learning
calculus and differential equations. MATHEMATICA is one of the most
powerful software being used to solve various types of problems in
mathematics. This book presents a clear and easy-to-understand on how to
use MATHEMATICA to solve calculus and differential equation problems.
The book contains essential topics that are taught in calculus and
differential equation courses. These topics are the limits,
differentiation, integration, series, ordinary differential equations,
Laplace and Fourier transforms, as well as special functions normally
encountered in solving science and engineering problems. Numerical
methods, in addition, are employed when the exact solutions are not
available.
The finite element method developed in the latest MATHEMATICA version is
used to analyse partial differential equations for problems with complex
geometry. The partial differential equations could be in elliptic,
parabolic and hyperbolic forms. A large number of examples are presented
with detailed derivation for their solutions before using MATHEMATICA to
confirm the same results. With the clear explanation of all topics in
this book and with the help of MATHEMATICA software, students will enjoy
learning calculus and differential equations as compared to the
traditional way in the past.
