The exhaustive list of topics in Numerical Methods for Chemical Engineering in which we provide Help with Homework Assignment and Help with Project is as follows:

- Sparse and Banded Matrices, Solving Linear BVPs with Finite Differences
- LU and Cholesky Decompositions
- Hypothesis Testing
- Matrix Eigenvalues and Eigenvectors
- Theory of Diffusion
- Random Variables, Binomial, Gaussian, and Poisson Distributions
- Normal Forms
- Multi-response Parameter Estimation
- Random Walks
- Simulated Annealing and Genetic Algorithms
- Bayesian Monte Carlo Methods for Single-response Regression
- Interpolation and Numerical Integration
- Nonlinear Simplex, Gradient, and Newton Methods
- Treating Constraints and Optimization Routines in MATLAB®
- Non-linear Regression
- Determinants
- Monte Carlo Simulation
- Bayesian View of Statistics
- Existence and Uniqueness of Solutions
- ODE Initial Value Problems
- Basis of Least Squares Method
- MATLAB® Programming
- Optimization Examples
- Gershorgin's Theorem
- Regression from Composite Single and Multi Response Data Sets
- Single-response Regression in MATLAB®
- Nonlinear Reaction/Diffusion PDE-BVPs
- Statistics and Parameter Estimation
- Treating Convection Terms in PDEs
- Completeness of Eigenvector Bases
- Linear Least Squares Regression
- DAE Systems and Applications
- Monte Carlo Integration
- Normal Matrices
- Central Limit Theorem
- t-distribution and Confidence-intervals
- Orthogonal Matrices
- Newton's Method for Solving Sets of Nonlinear Algebraic Equations
- Unconstrained Problems
- BVPs in Non-Cartesian Coordinates
- Numerical Issues (Stiffness) and MATLAB® ODE Solvers
- Monte Carlo Simulation
- Nonlinear Optimization
- Brownian Dynamics
- Ax=b as Linear Transformation
- Quasi-Newton and Reduced-step Algorithms
- Choosing Priors
- Schur Decomposition
- Basis Sets and Vector Spaces
- Applications
- Brownian Dynamics and Stochastic Calculus
- Linear Systems
- Model Criticism and Validation
- Finite Volume and Finite Element Methods
- Numerical Calculation of Matrix Eigenvalues, Eigenvectors
- Applications of Bayesian MCMC
- Boundary Value Problems – Finite Differences
- Probability Theory
- Gaussian Elimination