Class Notes (1,100,000)
US (490,000)
UIC (1,000)
CHE (100)
CHE 311 (10)
Lecture 25

CHE 311 Lecture Notes - Lecture 25: Chemical Engineering, Determinant

Chemical Engineering
Course Code
CHE 311
Wedgewood Lewis

This preview shows page 1. to view the full 5 pages of the document.
© 2017 Meenesh R. Singh (
ChE 445: Mathematical Methods in Chemical Engineering
Course Outline
Lectures: M 8:45 – 10:00 am, W, 2:30-3:45 p.m. in CHE 218
TA: Ms. Paria Coliaie:
Queries/ Comments:
Subject: CHE 445
Office Hours: Mondays 10:00-10:45 a.m.
Recitation Hours: Fridays Noon – 1:00 p. m. (or as needed)
Textbook: No required textbook- Collateral Reading from
Amundson for Linear Algebra
Varma and Morbidelli for Calculus
Courant and Hilbert for Advanced Calculus
Gardiner for Stochastic Methods
Topics to be covered
1. Linear Algebra:
Determinants and Matrices
Theory of Algebraic Equations
Eigenvalues and Eigenvectors
Sylvester’s Expansion
Application to First Order Systems
Linear Programming
2. Differential Calculus ODEs
Theory of Differential Equation
Method of Frobenius
Hypergeometric differential equations
Sturm-Liouville System
Green Function
3. PDEs
Method of Separation of Variables
Fourier Transforms
Elements of Complex Variables
Laplace Transforms
Method of Characteristics
Perturbation Methods
You're Reading a Preview

Unlock to view full version

Only page 1 are available for preview. Some parts have been intentionally blurred.

© 2017 Meenesh R. Singh (
4. Non-linear Analysis
Analysis of Nonlinear Dynamical System
Liapunov Stability
Bifurcation Theory
5. Stochastic Methods
Stochastic Differential Equation
Fokker-Planck Equations
Ito’s and Stratonovich Equations
Homework Assignments- Given every Wednesday and Solution are due on the
next Wednesday.
30 %
Midterm 1
Midterm 2
You're Reading a Preview

Unlock to view full version