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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: pcolia2@uic.edu

Queries/ Comments: mrsingh@uic.edu

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

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© 2017 Meenesh R. Singh (mrsingh@uic.edu)

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.

Grades

HW

30 %

Midterm 1

20%

Midterm 2

20%

Final

30%

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