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Helper / Matematik 5000+ Kurs 4

Natur & Kultur · revised

Matematik 5000+

Kurs 4

Uncut Helper

Helper · book shelf

Page-ordered companions

Scaffold of Kurs 4 by approximate public outline pages. Open rows link to Uncut companions; Soon rows are TBD — not a full book translation.

Filter by page number or English title. Order is strictly by page.

Kap 1 · Trigonometri

~10–24 Unit circle — from roof slope to turn table Open ~25–38 Formulas earned as tools (unit · addition · double angle) Open ~39–43 Sin / cos functions — when the circle keeps turning Open ~44–53 Trig equations & shifts — when two waves meet Open ~54–56 Tangent — height ÷ run Open ~55–64 Radians & models — when the turn uses a rope length Open ~65–80 Kap 1 wrap — mix the trig tools Open

Kap 2 · Derivata (~82+)

~82–90 How fast is it changing? — derivative as slope Open ~86–95 Derivatives of sin & cos — chain start Open ~96–103 Product & quotient rules Open ~100–107 Exp, ln & rate ∝ amount Open ~108–120 Graphs & max/min Open ~121–149 Kap 2 wrap — mixed apps & light DE Open

Kap 3 · Integraler (~150+)

~150–158 Area & antiderivative — undo the slope tool Open ~154–162 Computing integrals & FTC Open ~159–167 Area under & between curves Open ~168–180 Quantities & light applications Open ~181–201 Kap 3 wrap — techniques & solids sketch Open

Kap 4 · Komplexa tal (~202+)

~202–210 i and a+bi — invent i, plane, conjugate, |z| Open ~210–217 Multiply, divide & distance Open ~218–227 Polar form — r, arg, multiply in polar Open ~228–235 De Moivre & powers Open ~232–238 Euler / cis bridge — middle vortex Open ~239–251 Polynomials over C — factors & light FTA Open ~252+ Kap 4 mixed / deeper complex leftovers Soon

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