Particular probability distributions covered are the binomial distribution, applied to discrete binary events, and the normal, or Gaussian, distribution. We study probability distributions and cumulative functions, and learn how to compute an expected value. We then give the definitions of probability and the laws governing it and apply Bayes theorem. We first review some basic parameters and definitions in statistics, such as mean and dispersion properties followed by computation of permutations and combinations. This module reviews the basic principles of probability and statistics covered in the FE Exam. In all cases, basic ideas and equations are presented along with sample problems that illustrate the major ideas and provide practice on expected exam questions.Time: Approximately 4.5 hours | Difficulty Level: Medium Fourier series and transforms are defined along with standard forms, and finally Laplace transforms and their inverse are discussed. Differential equations are calcified and to methods to solve linear, homogenous equations are presented. Calculus begins with definitions of derivatives and gives some standard forms and computation of critical points of curves, then presents grad, del and curl operators on scalar and vector functions.
The discussion of series includes arithmetic and geometric progressions and Taylor and Maclaurin series. Basic properties of vectors with their manipulations and identities are presented. In algebra we define complex numbers and logarithms, and show how to manipulate matrices and determinants. We first review the equations and characteristics of straight lines, then classify polynomial equations, define quadric surfaces and conics, and trigonometric identities and areas. This module reviews the basic principles of mathematics covered in the FE Exam.
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