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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