math

Mathematics from zero

Start knowing only how to count. Finish with the math foundation a programmer needs.

10 units·63 lessons·~45 h

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01

Numbers and counting

What a number really is, and why where a digit sits changes its value.

01 Counting 12 min 02 Comparing numbers 13 min 03 Place value 15 min 04 The number line 12 min 05 Numbers: multiple-choice review 12 min 06 Numbers: free-recall review 14 min 07 Numbers: build a number line by hand 180 min

02

Four operations in depth

Addition, subtraction, multiplication, division — what they mean, not just how.

01 Addition 15 min 02 Subtraction 15 min 03 Multiplication 16 min 04 Division 16 min 05 Four operations: multiple-choice review 13 min 06 Four operations: free-recall review 14 min 07 Four operations: plan a party by hand 200 min

03

Fractions, decimals, percents

Three ways to write a part of a whole, and how to move between them.

01 What is a fraction 15 min 02 Equivalent fractions 15 min 03 Adding fractions 16 min 04 Decimals 15 min 05 Percents 15 min 06 Fractions: multiple-choice review 13 min 07 Fractions: free-recall review 14 min 08 Fractions: a three-way budget chart 200 min

04

Powers and roots

Repeated multiplication, and the question it cannot un-ask: the root.

01 Exponents 15 min 02 Powers of ten 14 min 03 Square roots 15 min 04 Powers and roots: multiple-choice review 12 min 05 Powers and roots: free-recall review 14 min 06 Powers and roots: build a reference card 200 min

05

Variables and algebra

A letter that stands for a number you do not know yet.

01 Variables 14 min 02 Expressions 15 min 03 Equations 16 min 04 Inequalities 15 min 05 Algebra: multiple-choice review 12 min 06 Algebra: free-recall review 14 min 07 Algebra: build a pocket-money rule 180 min

06

Functions

A machine: one input goes in, one output comes out, every time.

01 What is a function 15 min 02 Linear functions 15 min 03 Graphs 15 min 04 Functions: multiple-choice review 14 min 05 Functions: free-recall review 14 min 06 Functions: model a real-world rate 200 min

07

Logic and sets

True and false, and how to combine them; collections of things.

01 True and false 13 min 02 And, or, not 14 min 03 Sets 14 min 04 Logic and sets: multiple-choice review 13 min 05 Logic and sets: free-recall review 12 min 06 Logic and sets: build a reasoning kit 180 min

08

Growth and logarithms

Some things grow slowly, some explode — and the log measures the difference.

01 Linear vs exponential 15 min 02 Logarithms 16 min 03 Growth: multiple-choice review 13 min 04 Growth: free-recall review 14 min 05 Growth: the race and the ruler 200 min

09

Combinatorics

Counting possibilities without listing them one by one.

01 The counting principle 14 min 02 Permutations 15 min 03 Combinations 16 min 04 Combinatorics: multiple-choice review 13 min 05 Combinatorics: free-recall review 14 min 06 Combinatorics: build a counting handbook 200 min

10

Probability

Putting a number on how likely something is.

01 What is probability 15 min 02 Combining events 16 min 03 Probability: multiple-choice review 13 min 04 Probability: free-recall review 13 min 05 Probability: predict and test a chance game 200 min

Build with this track

Guided projects that exercise what you learn here.

Numeric Toolkit

Build the small library every numerical program secretly depends on: vectors, matrices, a linear-system solver, and descriptive statistics — written by you, checked against answers you can verify by hand. This is where the algebra you learned stops being homework and becomes code that other code calls. You'll feel why floating-point arithmetic lies a little, why solving Ax = b is harder than the textbook suggests, and how to prove your own numbers are right.

Base CS from zero

Start with no CS theory. Finish understanding how a computer runs your code and what every programming construct really means.