How-To Guides
Step-by-step guides that teach you how to perform calculations manually.
How to Master Coordinate Geometry: Distance, Midpoint, Slope, and Line Equations
Learn to calculate distance, midpoint, slope, and line equations between two points by hand with this easy-to-follow guide and worked examples.
Read guideHow to Calculate Investment Metrics: NPV, IRR, and Payback Period
Learn to manually calculate Net Present Value (NPV), Internal Rate of Return (IRR), and Payback Period for smart investment analysis. Understand formulas and make informed decisions.
Read guideHow to Calculate Ellipse Properties: Area, Perimeter, and Eccentricity
Learn to calculate an ellipse's area, approximate perimeter, and eccentricity by hand. Understand the formulas, see a worked example, and avoid common pitfalls.
Read guideHow to Calculate Circle Equations: Step-by-Step Guide
Learn to write and convert circle equations between standard and general forms. Understand formulas, variables, and solve examples step-by-step.
Read guideHow to Calculate Perpendicular Slope: Step-by-Step Guide
Learn to calculate the slope of a line perpendicular to a given line using the negative reciprocal formula. Step-by-step guide with examples.
Read guideHow to Calculate a Line Equation by Hand: A Step-by-Step Guide
Learn to find line equations (slope-intercept, point-slope, standard) from two points or a point and slope. Master the formulas with examples!
Read guideHow to Calculate Distance, Midpoint, Slope, and Line Equations: Step-by-Step Guide
Learn to manually calculate distance, midpoint, slope, and line equations for any two points with this easy-to-follow, step-by-step guide.
Read guideHow to Calculate Gambler's Ruin Probability: Step-by-Step Guide
Learn to calculate the probability of a gambler losing all their money using the Gambler's Ruin formula. Step-by-step guide with examples.
Read guideHow to Calculate Odds Ratio: Step-by-Step Guide
Learn to calculate the Odds Ratio by hand with this step-by-step guide. Understand the formula, worked examples, and common pitfalls for accurate results.
Read guideHow to Calculate Matrix Rank: Step-by-Step Guide
Learn to calculate the rank of a matrix by hand using row echelon form. Understand pivots, nullity, and common pitfalls with a worked example.
Read guideHow to Calculate Expected Value: Step-by-Step Guide
Learn to calculate expected value manually
Read guideCard Probability Calculator: Step-by-Step Guide
Calculate card probability manually
Read guideLottery Probability Calculator: Step-by-Step Guide
Calculate lottery odds manually
Read guideDice Probability Calculator: Step-by-Step Guide
Calculate dice probability manually
Read guideHow to Calculate the Birthday Paradox: Step-by-Step Guide
Calculate birthday paradox probability manually
Read guideHow to Calculate Probability using Bayes' Theorem: Step-by-Step Guide
Update probabilities with new evidence
Read guideHow to Calculate Probability using Bayes' Theorem: Step-by-Step Guide
Update conditional probabilities with Bayes' theorem
Read guideHow to Calculate the Radius of Convergence: Step-by-Step Guide
Calculate radius of convergence manually
Read guideHow to Calculate Binomial Expansion: Step-by-Step Guide
Expand binomial expressions manually
Read guideHow to Calculate Recursive Sequences: Step-by-Step Guide
Learn to generate and analyze recursive sequences manually
Read guideHow to Calculate the Fibonacci Sequence: Step-by-Step Guide
Generate the Fibonacci sequence manually
Read guideHow to Calculate Series Sum: Step-by-Step Guide
Learn to calculate series sum manually
Read guideGeometric Sequence Calculator: Step-by-Step Guide
Calculate nth term and partial sum manually
Read guideHow to Calculate Sequences and Series: Step-by-Step Guide
Learn to calculate nth term and partial sum of arithmetic sequences
Read guideHow to Calculate the nth Term and Partial Sum of Arithmetic Sequences: Step-by-Step Guide
Calculate sequences and series manually
Read guideHow to Calculate Vector Magnitude: Step-by-Step Guide
Calculate vector magnitude manually
Read guideHow to Calculate the Cross Product: Step-by-Step Guide
Calculate the cross product manually
Read guideHow to Perform Matrix Multiplication: Step-by-Step Guide
Learn to multiply matrices manually
Read guideHow to Calculate the Vector Dot Product: Step-by-Step Guide
Calculate dot product manually
Read guideHow to Orthogonalize Vectors using Gram-Schmidt Process: A Step-by-Step Guide
Orthogonalize vectors manually
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