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Mathematical Methods for Chemical Engineering
Lecture notes for CMU 06-262 Math Methods in Chemical Engineering (Zachary Ulissi, CMU)
Course Notes
Introduction to math methods for ChE and motivation for linear algebra
Linear Algebra
Matrix/Linear Algebra
Intro to Gauss Elimination
Example of Gauss Elimination, and Matrix Rank/Inverse
Using matrix inverses, and matrix determinants
Eigenvalue and Eigenvectors
Eigenvalues/Eigenvectors continued, and application of eigenvalues to difference equations
Numerical Calculations of Eigenvalues/Eigenvectors in python
Ordinary Differential Equations
Intro to Differential Equations
Exact ODEs
Linear 1st-order ODEs
Application of linear ODEs to ChE examples
Second Order Differential Equations
Non-homogeneous linear ODEs
Method of Undetermined Coefficient and Variations of Parameters
Introduction to Numerical Solution of Differential Equations
Coupled Differential Equations
Coupled Differential Equations Continued!
Nonlinear coupled ODE’s
Steady states in Non-Linear Coupled ODE’s
Boundary value problems
The Shooting Method for Solving BVPs
Partial Differential Equations
Partial Differential Equations
Fourier Coefficients!
Statistics
Intro to engineering statistics
Stats continued and linear regression
Non-linear regression
06-262 Math Methods Recap
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Ordinary Differential Equations
Ordinary Differential Equations
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