Multiple Choice Tests

Introduction to Scientific Computing

Introduction to Numerical Methods [HTML] [PDF] [DOC]
Measuring Errors [HTML] [PDF] [DOC]
Sources of Error [HTML] [PDF] [DOC]
Binary Representation of Numbers [HTML] [PDF] [DOC]
Floating Point Representation of Numbers [HTML] [PDF] [DOC]
Propagation of Errors [HTML] [PDF] [DOC]
Taylor Series Revisited [HTML] [PDF] [DOC]

Differentiation

Background [HTML] [PDF] [DOC]
Continuous Functions [HTML] [PDF] [DOC]
Discrete Functions [HTML] [PDF] [DOC]

Nonlinear Equations

Background [HTML] [PDF] [DOC]
Bisection Method [HTML] [PDF] [DOC]
Newton-Raphson Method [HTML] [PDF] [DOC]
Secant Method [HTML] [PDF] [DOC]

Simultaneous Linear Equations

Background [HTML] [PDF] [DOC]
Gaussian Elimination [HTML] [PDF] [DOC]
LU Decomposition [HTML] [PDF] [DOC]
Gauss-Seidel Method [HTML] [PDF] [DOC]

Interpolation

Background [HTML] [PDF] [DOC]
Direct Method [HTML] [PDF] [DOC]
Newton’s Divided Difference Method [HTML] [PDF] [DOC]
Lagrange Method [HTML] [PDF] [DOC]
Spline Method [HTML] [PDF] [DOC]

Regression

Background [HTML] [PDF] [DOC]
Linear Regression [HTML] [PDF] [DOC]
Nonlinear Regression [HTML] [PDF] [DOC]

Integration

Background [HTML] [PDF] [DOC]
Trapezoidal method [HTML] [PDF] [DOC]
Simpson’s 1/3rd Rule method [HTML] [PDF] [DOC]
Romberg method [HTML] [PDF] [DOC]
Gauss-Quadrature method [HTML] [PDF] [DOC]

Ordinary Differential Equations

Background [HTML] [PDF] [DOC]
Euler’s method [HTML] [PDF] [DOC]
Runge-Kutta 2nd order method [HTML] [PDF] [DOC]
Runge-Kutta 4th order method [HTML] [PDF] [DOC]
Shooting Method [HTML] [PDF] [DOC]
Finite Difference Method [HTML] [PDF] [DOC]

Optimization

Golden Section search method [HTML] [PDF] [DOC]
Newton’s method [HTML] [PDF] [DOC]
Multidimensional Direct search method [HTML] [PDF] [DOC]
Multidimensional Gradient search method [HTML] [PDF] [DOC]

Partial Differential Equations

Background [HTML] [PDF] [DOC]
Parabolic [HTML] [PDF] [DOC]
Elliptic [HTML] [PDF] [DOC]

Fast Fourier Transforms

Continuous Fourier Series [HTML] [PDF] [DOC]
Fourier Transform Pair [HTML] [PDF] [DOC]
Discrete Fourier Transform [HTML] [PDF] [DOC]
Informal Development of Fast Fourier Transform [HTML] [PDF] [DOC]