About this module
We begin by learning to read a formula as a sentence about a quantity.
A ledger balance, a processing fee, and a percentage comparison are enough to introduce variables, functions, units, and constraints.
Our first discipline is simple: every symbol must mean something, and every operation must be allowed for its inputs.
Lessons
- Lesson 1
Variables, Constants, Expressions, and Equations
A wallet reconciliation that actually balances
2:34 - Lesson 2
Functions, Domains, Ranges, and Graphs
A payment fee calculator with a valid input range
2:34 - Lesson 3
Ratios, Proportions, Rates, and Percentages
Comparing approval rates across merchants
2:36 - Lesson 4
Percentage Change, Percentage Points, and Basis Points
A loan-rate change reported three different ways
2:33 - Lesson 5
Exponents, Roots, and Logarithms
Finding the growth factor and the time it takes
2:38 - Lesson 6
Summation, Products, and Index Notation
A ledger sum and a return product are different loops
2:33 - Lesson 7
Linear Equations and Systems
Reconciling transaction counts and fee totals
2:34 - Lesson 8
Inequalities, Bounds, and Constraints
A lending limit that is a constraint, not an opinion
2:34 - Lesson 9
Units, Dimensions, Scale, and Normalization
Cents, currencies, and rates in the same pipeline
2:43 - Lesson 10
Rounding, Precision, Tolerance, and Significant Digits
Rounding a half-cent without guessing binary behavior
2:41