Lesson review

Summary

• Modular system, modulus m, residue r
• r is the modulo-m residue of n when n\equiv r (mod m) and  0<= r < m
• congruent or equivalent modulo m
• The integers congruent to r modulo m make up a residue class (congruence classes or equivalence classes).

Extra Resource

• https://artofproblemsolving.com/wiki/index.php/Modular_arithmetic/Introduction
• https://study.com/academy/lesson/modular-arithmetic-rules-properties.html
• https://betterexplained.com/articles/fun-with-modular-arithmetic/
• https://www.khanacademy.org/math/ap-calculus-bc/bc-series-new/bc-series-optional/v/deriving-geometric-series-sum-formula

Homework

• p.221 Ex.12.2.1 (i,j,k,l), 12.2.3, 12.2.6
• p.224 Ex.12.3.1, 12.3.2 to 12.3.4(a,c,e,f)
• p.230 Ex.12.4.1 (a,c,e,f),12.4.2, 12.4.4
• p.236 Ex.12.5.1(a,c,e,f), 12.5.2, 12.5.5
• p.239 Ex.12.6.2(a), 12.6.5
• p.242 Ex.12.26

Sorry that we have so much information for this chapter 🙁 Please feel free to reach out if you have any questions. See you next Sunday!

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