• ChE 301: Applied Statistical and Numerical Methods for Engineers
  • method: systems of linear algebraic equations
  • method: systems of nonlinear algebraic equations
  • method: systems of ordinary differential equations
  • method: numerical integration
  • method: regression and analysis of variance
  • project: Experimental Determination of Reaction Rate Constants
  • project: Determination of a the Steady-state and Transient behavior of a Non-Adiabatic, Non-Isothermal Continuously-Stirred-Tank Reactor
  • codes: for the above methods


• ChE 240: Fluid Flow and Heat Transfer
  • project: flow in a piping network
  • project: Using partial differential equations to solve the Heat Equation
  • example: 1-1 shell-and-tube heat exchanger


• ChE 310: Unit Operations Laboratory I
  • project: Using the Bernoulli equation to describe Efflux from a Tank
  • codes: code for the project

• ChE 505: Advanced Mathematics for Engineers
  • additional material beyond what's in the ChE 301 website
  • method: transformations using linear algebra
  • method: stability analysis of systems of ordinary differential equations
  • method: partial differential equations (parabolic, hyperbolic, elliptic)
  • method: integral equations
  • codes: codes for the above problems

• notes
  • method: algebraic equations
  • method: ordinary differential equations
  • method: partial differential equations (parabolic, hyperbolic, elliptic)
  • method: integral equations


• codes
  • codes: for algebraic equations, ODEs, numerical integration, regression, analysis of variance
  • codes: more sophisticated codes for algebraic equations, stability analysis of ODEs, solution of PDEs and Integral Equations
  • codes: for combining root-finding and ODE-solver techniques when the ODE cannot be expressed as dy/dx = f(x,y), an example

A Graphical User Interface (GUI, pronounced "gooey") is a program that makes using a piece of software more user friendly. The following GUIs are written to be used in MATLAB. They make performing complex numerical computations virtually foolproof.

• codes for MATLAB (zipped with WinZip)
  • A GUI for Numerical Integration
  • A GUI for Solving 1 nonlinear algebraic equation (rootfinding)
  • A GUI for Solving a system of N nonlinear algebraic equations (multivariate rootfinding)
  • A GUI for Solving systems of nonlinear ordinary differential equations (initial value problems)
  • A GUI for performing regression on data
  • A GUI for multivariate nonlinear optimization

These GUIs were written in Matlab 5.1. Matlab 6.0 is not backwards compatible with some GUI features. Therefore, there is no guarantee that these programs will work in MATLAB 6.0. Furthermore, the GUI for Solving a system of N nonlinear algebraic equations has an option to use the MATLAB instrinsic function, fsolve. The function, fsolve, gives Matlab the capability to solve a system of nonlinear algebraic equations for its roots. However, fsolve is not included in the basic MATLAB package. It is part of the optimization toolbox. If you have not purchased the additional optimization toolbox, the fsolve functionality will be absent.

This seminar was presented to the faculty of the Department of Chemical Engineering at the University of Tennessee on August 20, 2001.

• workshop handout (*.pdf format)
  • workshop handout