# Page History: Examples

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# Engineering

- Non-linear deflection of a flexible cantilever pdf zip
- Batch chemical reactor pdf zip
- Lateral force developed by a tire, using an early Pacejka model. pdf zip
- CEE Fluid Mechanics Test 1 (G.Urroz): | Prob 1 pdf zip | Prob 2 pdf zip | Prob 3 pdf zip |
- CEE Fluid Mechanics Test 2 (G.Urroz) pdf zip
- CEE Fluid Mechanics Test 3 (G.Urroz) pdf zip
- NASA's Atmospheric Model (SI Units) pdf zip
- Using an electromagnetic shaker to drive a single degree of freedom system pdf zip
- Simple Estimates of a single prop, naturally aspirated, aircraft's performance pdf zip
- Ramp Design - testing for max allowable bending moment and deflection (US Customary Units) pdf zip
- Column Design - based on AISC Manual of Steel Construction (US Customary Units) pdf zip
- Video examples of calculations with units for hydraulics: See Part 2 SMath Studio
- Examples of specific energy calculations for open channel flow See second link in this page

# Numerical methods

- Newton-Raphson method for solving equations (G. Urroz) pdf zip
- Nonlinear system of algebraic equations, Broyden's method pdf zip
- Lagrange interpolation polynomials pdf zip
- Newton interpolation polynomials (forward finite difference) pdf zip
- Newton interpolation polynomials (backward finite difference) pdf zip
- Data fitting (single independent var., linear on parameters) pdf zip
- Data fitting (multiple, linear on parameters) pdf zip
- Simpson integration with Richardson extrapolation pdf zip
- Gauss-Legendre integration method pdf zip
- Second order linear ODE - finite difference method pdf zip
- Runge-Kutta 4th-order for single 1st-order ODE (G. Urroz) pdf zip
- Runge-Kutta 4th-order for systems of ODEs (G. Urroz) pdf zip
- Runge-Kutta 4th-order for single 2nd-order ODE (G. Urroz) pdf zip
- Runge-Kutta 5th-order adaptive - also "Batch chemical reactor" (see "Engineering", above) pdf zip
- Graphing implicit functions of 2 variables: f(x,y)=K (where K is a constant) pdf zip

# Statistics

- Normal distribution pdf zip
- Student t-distribution pdf zip
- Chi-squared distribution pdf zip
- F-distribution pdf zip
- Examples of probability distributions (G. Urroz) pdf zip