Mathematics, from basic to complex
Set up a problem with equations and estimate its order of magnitude before calculating: powers of ten, estimation and three checks to tell whether a result makes sense
5 USD
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What it includes
- Pages
- 16
- Exercises
- 8: 3 basic, 2 intermediate and 3 challenge; 6 with a numerical answer
- Sources cited
- 8
- Class
- 40-minute script
- Format
- US Letter PDF and script as text
- Zone of the tree
- Roots
- Stage
- Novice
When you finish you will be able to
Set up a problem with equations and estimate the order of magnitude before calculating.
What you learn
- Set up a problem in four steps: the unknown with its unit, the data and assumptions, the relationship, and solving with letters.
- Write quantities in scientific notation and with prefixes of the International System of Units (SI), including squared units such as mm².
- Estimate the order of magnitude of a result before calculating it, with one figure per datum.
- Solve by hand and with a spreadsheet, and compare both results with the estimate.
- Explain why a result makes sense with three checks: units, size and limiting cases.
Who it is for
Young people aged 16 to 24 who are starting out in engineering or a technical trade. It requires no earlier course in this series: it uses the arithmetic and algebra of secondary school. Examples from electrical engineering.
Before this course
None. You can start here.
Sample pages
Class video
PDF + script; the class video arrives once it is recorded.