ENCOR4040: Data Analysis and numerical techniques Assignment Help
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Topics we would cover in ENCOR4040
- Introduction and Fundamental Concepts
- Basic Properties of Sets and Groups
- Scalars, Vectors, and Matrices
- Coordinate Systems and Coordinate Transformations
- Tensors and Transformations
- Operators
- The Numerical Methods for Linear Equations and Matrices
- Errors and Their Propagation
- Direct Methods for the Solution of Linear Algebraic Equations
- Solution of Linear Equations by Iterative Methods
- The Similarity Transformations and the Eigen values and Vectors of a Matrix
- Polynomial Approximation, Interpolation, and Orthogonal Polynomials
- Polynomials and Their Roots
- Curve Fitting and Interpolation
- Orthogonal Polynomials
- Numerical Evaluation of Derivatives and Integrals
- Numerical Differentiation
- Numerical Evaluation of Integrals: Quadrature
- Monte Carlo Integration Schemes and Other Tricks
- Numerical Solution of Differential and Integral Equations
- The Numerical Integration of Differential Equations
- The Numerical Solution of Integral Equations
- Least Squares, Fourier Analysis, and Related Approximation Norms
- Legendre’s Principle of Least Squares
- Least Squares, Fourier Series, and Fourier Transforms
- Error Analysis for Linear Least-Squares
- Non-linear Least Squares
- Probability Theory and Statistics
- Basic Aspects of Probability Theory
- Common Distribution Functions
- Moments of Distribution Functions
- The Foundations of Statistical Analysis
- Sampling Distributions of Moments, Statistical Tests, and Procedures
- The Level of Significance and Statistical Tests
- Linear Regression, and Correlation Analysis
- The Design of Experiments
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