Maths for Engineers
The maths you actually use: units, algebra and proportion
Engineering maths is not about abstract puzzles. It is about handling real quantities without making expensive mistakes. This track builds the fluency you need before anything else makes sense.
The Language of Measurement
Units, prefixes, algebra and proportion
- Units & PrefixesFreeWhy every number in engineering needs a unit, and how to move between milli, kilo and mega without slipping a factor of a thousand.10 min
- Rearranging EquationsFreeOne equation, three questions. How to solve for whichever quantity you actually need.12 min
- Powers & Scientific NotationFreeHandling the very large and very small without drowning in zeros.10 min
- Ratio, Proportion & PercentageFreeVoltage dividers, component tolerance and efficiency, all the same underlying idea.12 min
Maths That Predicts Behaviour
Graphs, simultaneous equations, logarithms and waves
- Graphs & GradientsA straight line on a graph is a physical law you can read off with a ruler. Gradient, intercept, and what the slope of a V-I graph actually tells you.12 min
- Simultaneous EquationsTwo unknowns need two equations. Substitution, elimination, and why circuit analysis is really just solving a system.13 min
- Logarithms & DecibelsWhy gain is measured in dB, how a logarithm compresses a huge range into a readable one, and the numbers worth memorising.12 min
- Trigonometry & WavesSine waves, frequency and period, peak versus RMS, and why mains is quoted as 230 V when it peaks at 325 V.13 min
Maths That Models Change
Calculus, vectors and matrices
- Differentiation & RatesA derivative is a rate of change. Once you can read one, half of engineering stops being descriptive and starts being predictive.14 min
- Integration & AccumulationIntegration adds up a changing quantity over time or distance. It is how you get energy from power, and charge from current.14 min
- VectorsQuantities with direction as well as size. Resolving, adding, and why a rope at an angle carries more tension than you expect.13 min
- Matrices & TransformationsA compact way to handle many equations at once, and the mathematics behind every robot arm and 3D rotation.14 min
The first module of every subject is free with an account. No card needed.