· This section has been greatly enhanced, and tailored to meet our engineering requirements.
· The section outlined here is not intended to teach the elements of mathematics, but it is designed to
be a quick reference guide to support the engineer required to use techniques that may not have
been used recently.
· For those planning to write the first ABET Fundamentals of Engineering exam, the following topics
are commonly on the exam.
- quadratic equation
- straight line equations - slop and perpendicular
- conics, circles, ellipses, etc.
- matrices, determinants, adjoint, inverse, cofactors, multiplication
- limits, L'Hospital's rule, small angle approximation
- integration of areas
- complex numbers, polar form, conjugate, addition of polar forms
- maxima, minima and inflection points
- first order differential equations - guessing and separation
- second order differential equation - linear, homogeneous, non-homogeneous, second order
- triangles, sine, cosine, etc.
- integration - by parts and separation
- solving equations using inverse matrices, Cramer's rule, substitution
- eigenvalues, eigenvectors
- dot and cross products, areas of parallelograms, angles and triple product
- divergence and curl - solenoidal and conservative fields
- integration of volumes
- integration using Laplace transforms
- probability - permutations and combinations
- mean, standard deviation, mode, etc.
- log properties
- taylor series
- partial fractions
- basic coordinate transformations - cartesian, cylindrical, spherical
- trig identities
- derivative - basics, natural log, small angles approx., chain rule, partial fractions