REVIEW OF ENGINEERING MATHEMATICAL TOOLS
with the Help
of MatLab
By Professor Mohamad H. Hassoun
Department of
Electrical & Computer Engineering
Wayne State
University
Detroit, MI
48202
NOTE:
Some examples involving symbolic computations employ the string ‘’ notation to
define a symbolic function. Newer versions of Matlab
has dropped this syntax in favor of explicitly defining symbolic quantities
using the sym instruction (or defining variable(s) using the syms instruction)
For example: To integrate x^2 use int(sym(‘x^2’))
or syms x followed by int(x^2)
as opposed to using int(‘x^2’)
I. Functions: Graphs, Extreme Points & Roots
II. Differentiation
III. Integration
IV. Series
I. Vectors & Matrices
II. Matrix Algebra
III. Matrix Determinant and Inverse
IV. Solution of Linear Systems of Equations
V. Simple programs: Creating and Plotting Arrays
I. What Are Complex Numbers and Why Study Them?
II. Complex Algebra
III. Polar Form
IV. Exponential Form
V. Trigonometric & Hyperbolic Functions & Logarithms
I. Solution of Linear Ordinary Differential Equations
II. Solution of Simple Nonlinear Differential Equations
III. Numerical Solution