Complex numbers
Chapter 90 of 11 strong
RESTS ONDistinguish number-system containment and justify closure or counterexamplesCH 1Identify a, b, c in zero form and calculate b squared minus 4ac with signs intactFOUNDATIONSSimplify a fractionFOUNDATIONSConstruct direct, contrapositive and contradiction arguments with justified stepsCH 1Use sin²(x)+cos²(x)=1 and tan(x)=sin(x)/cos(x) to replace, simplify or verify an expression on its valid domainFOUNDATIONSApply exact compound and double-angle identities with valid domainsCH 7Construct induction proofs with a verified base, arbitrary-index hypothesis and justified next caseCH 1
Cartesian complex arithmetic
Polar form and geometry
Complex loci and regions