Mathematical Foundations of Engineering Analysis
This page contains fill-in notes on Mathematical Foundations of Engineering Analysis lectures from the courses MME 502.
Single file
A single pdf with all lectures can be downloaded here.
Individual lecture files
Click the thumbnails on the notes below to get a pdf version.
01.00 Mathematics itself
01.01 Truth
01.02 Foundations of mathematics
01.03 Mathematical reasoning
01.04 Mathematical topics in overview
01.05 What is math for engineering?
01.06 Exercises for Chapter 01
02.00 Math reasoning logic & set theory
02.01 Introduction to set theory
02.02 Basic logic
03.00 Probability
03.01 Probability and measurement
03.02 Basic probability theory
03.03 Independence and conditional probability
03.04 Bayes' theorem
03.05 Random variables
03.06 Probability density and mass functions
03.07 Expectation
03.08 Central moments
04.00 Statistics
04.01 Populations samples and machine learning
04.02 Estimation of sample mean and variance
04.03 Confidence
04.04 Student confidence
04.05 Multivariate probability and correlation
04.06 Regression
05.00 Vector calculus
05.01 Divergence surface integrals and flux
06.00 Fourier analysis
07.00 Partial differential equations
08.00 Nonlinear analysis
09.00 Optimization
09.01 Optimizing functions
09.02 Optimizing functionals the calculus of variations
A.00 Distribution tables
A.01 Gaussian distribution table
A.02 Student's t distribution table
B.00 Bibliography