Mathematical Foundations of Engineering Analysis
This page contains fill-in notes on Mathematical Foundations of Engineering Analysis lectures from the courses MME 502.
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itself.tru Truth
itself.found The foundations of mathematics
itself.exe Exercises for Chapter itself
sets.setintro Introduction to set theory
sets.logic Logical connectives and quantifiers
sets.exe Exercises for Chapter sets
prob.meas Probability and measurement
prob.prob Basic probability theory
prob.condition Independence and conditional probability
prob.bay Bayes theorem
prob.rando Random variables
prob.pxf Probability density and mass functions
prob.E Expectation
prob.moments Central moments
prob.exe Exercises for Chapter prob
stats.terms Populations samples and machine learning
stats.sample Estimation of sample mean and variance
stats.confidence Confidence
stats.student Student confidence
stats.multivar Multivariate probability and correlation
stats.regression Regression
stats.exe Exercises for Chapter stats
vecs.div Divergence surface integrals and flux
vecs.curl Curl line integrals and circulation
vecs.grad Gradient
vecs.stoked Stokes and divergence theorems
vecs.exe Exercises for Chapter vecs
four.series Fourier series
four.trans Fourier transform
four.general Generalized fourier series and orthogonality
four.exe Exercises for Chapter four
pde.class Classifying PDEs
pde.sturm Sturm.liouville problems
pde.separation PDE solution by separation of variables
pde.wave The 1D wave equation
pde.exe Exercises for Chapter pde
opt.grad Gradient descent
opt.lin Constrained linear optimization
opt.simplex The simplex algorithm
opt.exe Exercises for Chapter opt
nlin.ss Nonlinear state.space models
nlin.char Nonlinear system characteristics
nlin.sim Nonlinear system simulation
nlin.pysim Simulating nonlinear systems in Python
nlin.exe Exercises for Chapter nlin
A.01 Gaussian distribution table
A.02 Student s t.distribution table
B.01 Laplace transforms
B.02 Fourier transforms
C.01 Quadratic forms
C.02 Trigonometry
C.03 Matrix inverses
C.04 Laplace transforms
D.01 Euler s formulas