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.

01.02 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

03.01 Probability and measurement

03.02 Basic probability theory

03.03 Independence and conditional probability

03.06 Probability density and mass functions

04.01 Populations samples and machine learning

04.02 Estimation of sample mean and variance

04.05 Multivariate probability and correlation

04.07 Exercises for Chapter 04

05.01 Divergence surface integrals and flux

05.02 Curl line integrals and circulation

05.04 Stokes and divergence theorems

05.05 Exercises for Chapter 05

06.00 Fourier and orthogonality

06.03 Generalized fourier series

06.04 Exercises for Chapter 06

07.00 Partial differential equations

07.02 Sturm liouville problems

07.03 Separation of variables

07.04 The 1D wave equation

07.05 Exercises for Chapter 07

08.02 Constrained linear optimization

08.03 The simplex algorithm

A.01 Gaussian distribution table

A.02 Student's t distribution table

B.00 Fourier and Laplace tables