Mathematics Guides
Long-form explanations of the concepts that every mathematics course assumes but few courses teach. Each guide addresses a specific confusion — not the same material from the textbook.
Problem Solving
Fractions
Calculus
What the Derivative Actually Is — Without the Handwave
Most calculus textbooks introduce the derivative by stating a rule, demonstrating that it works, and then movi…
11 min readcalculusderivatives
When to Use Substitution vs. Integration by Parts
The two most commonly tested integration techniques are u-substitution and integration by parts. Students freq…
10 min readcalculusintegration
The Graph Sketching Checklist: Secondary to College
Graph sketching is tested from GCSE through university calculus. The techniques required at different levels o…
9 min readcalculusgraph sketching