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Engineering Math Refresher: Where to Start
A map of the maths topics engineers use most often, and a practical, low-pressure way to relearn them without starting again from the beginning of a textbook.
Engineering Fundamentals
Math Refreshers
Short refreshers on the maths engineers use, with checked examples.
Algebra Refresher: Rearranging Formulas
Learn to solve a formula for a different variable using a few reliable rules, with step-by-step examples from electrical, mechanical and temperature work, each checked.
Areas Under Curves: An Intuitive Look at Integrals
See what an integral represents by starting with rectangles, triangles and trapezoids whose areas you can check with geometry, then extending the idea to curves.
Basic Statistics: Mean, Median and Spread
Summarise a small data set by hand using the mean, median, range and standard deviation, with one fully worked example and notes on when each measure misleads.
Linear Interpolation for Tables and Charts
Estimate values between table entries or chart points with the straight-line method, including a worked example, a reverse lookup and notes on when it misleads.
Logarithms and Decibels Explained
Understand what a logarithm is and how the decibel scale uses it, with simple checked power and voltage ratios and the reason decibels add instead of multiply.
Rates of Change: An Intuitive Look at Derivatives
Understand a derivative as a rate of change using speed and slope, with simple numeric examples that shrink an interval toward an instant and can be checked by hand.
Trigonometry Refresher for Practical Work
Revisit sine, cosine and tangent for right triangles and apply them to ramps, ladders and forces on a slope, with every number checked and common slips flagged.
Vectors Refresher: Adding Forces and Directions
Review how to represent quantities with magnitude and direction and add them by components, with checked force and velocity examples, from simple right angles to general cases.
Related topics
More in engineering fundamentals
Requirements and Specifications Capturing what a system must do and proving that it does. Systems Thinking Seeing how parts, interfaces and feedback shape whole systems. Units and Estimation Working safely with units, magnitudes and quick estimates. Components and Datasheets Reading datasheets and understanding common parts.