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)

 

 

 

CALCULUS

I. Functions: Graphs, Extreme Points & Roots

II. Differentiation

III. Integration

IV. Series

LINEAR ALGEBRA

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

 

COMPLEX NUMBERS

I. What Are Complex Numbers and Why Study Them?

II. Complex Algebra

III. Polar Form

IV. Exponential Form

V. Trigonometric & Hyperbolic Functions & Logarithms

 

DIFFERENTIAL EQUATIONS

I. Solution of Linear Ordinary Differential Equations

II. Solution of Simple Nonlinear Differential Equations

III. Numerical Solution

 

TAYLOR SERIES

 

MISCELLANEOUS COMMANDS

 

Command Reference List