Applied Mathematics

Learn Personal Financial Mathematics

The arithmetic behind everyday money decisions: percent change, compounding, loans and credit cards, inflation, fees, tax brackets, take-home pay, exchange rates, depreciation, total cost of ownership, expected value, unit pricing and emergency funds. Complements the actuarial chapter, which derives the same interest theory symbolically for exam work.

Free to start · adaptive placement finds your level · reviews timed to your own forgetting.

What you'll learn

30 lessons in Personal Financial Mathematics

Percent change, and why it doesn't reverseSimple vs compound interestThe rule of 72APR, APY & compounding frequencySaving regularlyThe loan payment formulaCredit cards & minimum paymentsHow a mortgage payment splitsInflation & real returnsFees & the expense-ratio dragMarginal vs effective tax ratesTake-home payExchange rates & spreadsDepreciationTotal cost of ownershipExpected value in money decisionsUnit pricingEmergency fundsAverage return vs growth rateWhen the order of returns mattersWhich debt to pay firstTurning a fee into a rateBreak-even on an upfront costLeasing against borrowingDeductions against creditsTax now or tax laterThe savings rate sets the timelineA goal stated in today's moneyChoosing a deductibleWhich comparison applies
How Erudia teaches

Built to be understood — and remembered.

Every idea is taught with motivation and a worked example before the drills, and an FSRS spaced-repetition engine schedules each review for the day its model predicts you would forget it. A short placement check finds what you already know, so you start Personal Financial Mathematics exactly where it's useful.

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