The Edu category of vCalc's most commonly used educational calculators.  These include single purpose calculators (aka equations). The comprehensive list is comprised of the items in the section below. However, here are a few examples:

Math:

• Vector Calculator: 3D vector arithmetic functions including Cartesian, Spherical and Cylindrical coordinate transforms.
  • k V - scalar multiplication
  • V / |V| - Computes the Unit Vector
  • |V| - Computes the magnitude of a vector
  • U + V - Vector Addition
  • U - V - Vector Subtraction
  • |U - V| - Distance between vector endpoints
  • |U + V| - Magnitude of vector sum.
  • V • U - Dot Product of two vectors
  • V x U - Cross Product of two vectors
  • V x U • W - Mixed Product of three vectors
  • Vector Angle - Angle between two vectors
  • Vector Area - Area between two vectors
  • Vector Projection - Vector Projection of V onto U.
  • Vector Rotation - Result vector after rotating around an axis.
  • Normal to 3 Points - Vector Normal to a Plane Defined by Three Points
  • (ρ, θ, φ) to (x,y,z) - Spherical to Cartesian coordinates
  • (x,y,z) to (ρ, θ, φ) - Cartesian to Spherical coordinates
  • (r, θ, z) to (x,y,z) - Cylindrical to Cartesian coordinates
  • (x,y,z) to (r, θ, z) - Cartesian to Cylindrical coordinates
  • Vector Components - Magnitude, Unit Vector and angle between vector and three coordinate axes
• Statistics Calculator: 18 functions in college level statistics including observational statistics (mean, variance, etc.), distributions, tests (t, chi-square, ANOVA), linear regression.
  • Observational Stats:  This function accepts a table of numbers separated by commas and calculates observational statistics for any of the columns.  This includes count, min, max, sum, sum of squares (Σx²), square of the sum (Σx)², mean, median, mode, range, mid point, rand, sort up, sort down, rand, population variance, population standard deviation, the sample/experimental variance, sample/experimental standard deviation.
  • Frequency Distribution:  This function lets you enter a string of numbers separated by commas, a low and high range and a number of bins.  It then computes how many of the observations are in each of the bins between the high and low values designated. 
  • Generate a random sample of k items within a set.
  • Relative Percentile of an observation verses a set.
  • Probability of a favorable Event in a total number of outcomes.
  • Binomial Distribution - probability of S successes in n trials of a binomial distribution.
  • Binomial Coefficient derived from Pascal's Triangle. 
  • z SCORE of Observation in set (X)
  • z SCORE based on Mean and Standard Deviation.
  • z SCORE based on Probability or Percentile in Normal Distribution.
  • Percentile, probability or area under the curve of a Normal Distribution left of the z SCORE.
  • Percentile, probability or area under the curve of a Normal Distribution right of the z SCORE
  • Area under the Normal Distribution curve between z SCOREs.
  • Raw Score associated with a percentile in a Normal Distribution (μ,σ).
  • Paired Sample t-test:  Computes the various parameters associated with the Paired Sample t-test.
  • y = a + bx: Linear equation used with Linear Regression to predict values of Y.
  • ANOVA (one way): The is one way analysis of variance
  • (χ²) Chi-Square Test: This computes the Chi-Square value for an nxm array of data and provides the degrees of freedom.
  • Linear Regression:  This computes the regression line (least-squares) through a set of X and Y observations.  It also computes the regression coefficient (r). 
• Quaternion Calculator: 9 functions of quaternion arithmetic.
  • Quaternion Addition
  • Quaternion Subtraction
  • Quaternion Multiplication
  • Quaternion Magnitude
  • Quaternion Versor
  • Quaternion Conjugate
  • Quaternion Inverse
  • Quaternion of Rotation
  • Vector Rotation
• 3x3 Matrix Characteristic: computes the determinant, trace, inverse and characteristic polynomial of a 3x3 matrix

Physics and Engineering:

• Simple Machine Calculator: 10 functions on levers, pulley and gear systems.
• Light and Matter Online Physics Textbook: 36 chapters containing a complete introduction to physics textbook.
• Ohm's Law Calculator: 12 functions to compute power, potential (voltage), resistance and current.
• Astronomy Calculator: 31 functions covering Kepler's 3rd Law, the Small Angle Formula, Flux and Magnitude formulas, Telescope formulas, Mass formulas, Relative Size formulas, Wavelength formulas, Luminosity formulas and others.
• Angles of Reflection and Refraction Calculator: 6 functions reflection, refraction and critical angle.
• Hess' Law Calculator: computes the sum of enthalpy reactions in a series.

Chemistry:

• Ideal Gas Law:    P • V = n • R • T
• Charles Law:    V₁•T₂ = V₂•T₁
• Boyles Law:    P₁ •  V₁ = P₂ • V₂
• Gay-Lussac Law:      T₁ • P₂ = T₂ • P₁
• Combined Gas Law:    P•V/T = k
• Rate Law: 9 functions regarding zero, first and second order reactions
• Chemistry 106 Collection: 53 functions. These include ChemPRIME, Concept Development Studies in Chemistry, UC Davis ChemWiki: The Dynamic Chemistry E-Textbook.

Meteorology and Weather

• Meteorology Calculator: 7 functions on heat indices, humidity and wind chill.

Business and Economics:

• Microeconomics Calculator: 17 functions related microeconomics including demand, price, income, profit, surplus and elasticity.
• Macroeconomics Calculator: 24 functions related to macroeconomics including GDP, Inflation, Surplus, Producer, Consumer, Imports, Exports, Currency, Domestic and International.
• Hospitality Industry Calculator: 67 functions related to hotels, food services, restaurants, cost, labor, pricing, turnover, occupancy, sales, ADR, GOP-PAR, forecast, margins and more.
• Personal Finance Calculator: 10 functions on loans, interest, credit cards, cash flow, present and future value and annual growth rate (CAGR)
• Production Rate Calculator: 10 functions on production rates of lengths, areas and volumes over time.
• Price Comparison Calculator: 5 functions to compare prices between items by length, area, volume, weight in similar or different units and in different currencies if needed.
• Herfindahl-Hirschman Index: Computes an index on market concentration. 

Psychology:

• Psychology and Statistics Calculator: 18 functions including basic stats, distributions, regression, effect size, single and paired sample tests, Wilcoxon, Baye's, chi-square, Rescorla-Wagner, Ricco, Stevens' and Weber 

Biology and Ecology:

• Population Growth Calculator: 7 functions on population growth.

Medicine and Nursing:

• Body Surface Area Calculator: 22 functions related skin surface area and burn victim fluid calculations.
• Epworth Sleepiness Scale: computes potential of medical condition associated with tiredness (e.g., sleep apnea) 
• Metabolic Health Calculator: 7 functions on metabolic rates and body mass

Sports and Fitness

• Body Building and Weight Lifting: 8 functions related to weight lifting and body building.
• Calories Burned Calculator: 13 functions on calories burned over time doing various activities and exercises.