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Free module · Foundations

Math & Notation Essentials

Read the symbols, keep track of units, and build a calculation one small step at a time.

notation · units · algebra · modelling

The building blocks

  • A variable names a number.
  • An equation says two expressions have the same value.
  • Read quantities and units
  • Convert percentages and rearrange an equality
  • Use functions, sums and vectors

Lessons in this module

  1. Start with numbers, variables and an equals sign
  2. Percentages, basis points and units
  3. Rearrange an equation without changing its meaning
  4. Powers, square roots, exponentials and logarithms
  5. Read sums, indices, averages and squared deviations
  6. Probability, expectation and conditioning
  7. Vectors, matrices and transpose notation
  8. Derivatives, integrals and approximations

Open the interactive module

Practice and apply

  • Solve for a net-profit target — Buy 20 shares at $50. Round-trip costs total $4. Find the exit price for a $36 net profit.
  • Undo addition — Solve x+5=12.

Work through the practice exercises · Quant development tools