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