| Math Review Guide |
34. MATHEMATIXL TOOLS
******This contains additions and sections by Dr. Andrew Sterian.
. we use math in almost every problem we solve . as a results 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 ABETF 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, ad joint, inverse, cofactors, multiplication
-Limits, L �Hospital�s rule, small angle approximation
-Integration of areas
-Complex numbers, polar from, conjugate, addition of polar forms
-Maxima, minima and inflection points
-First �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
-Centroids
-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- basic, natural log, small approx. chain rule. partial fractions
34.1.1 Constants and Other Stuff
. A good place to start a short list of mathematical relationships is with Greek letters
|
