Description
This Complex Numbers Workbook is a print-and-go resource with 120 carefully sequenced exercises that build mastery from basics to advanced applications—perfect for classwork, homework, tutoring, intervention, or test prep. Clear chapter organization and mixed practice develop fluency with arithmetic in a+bia+bi, geometry on the Argand plane, polar/exponential forms, De Moivre’s Theorem, series tricks, and more. A complete answer key makes grading fast and supports independent study.
Topics Covered:
- Complex numbers & notation; arithmetic and conjugates
- Modulus & argument; geometric interpretation
- Polar & exponential forms; Euler’s formula
- Powers & n-th roots (De Moivre); roots of unity
- Argand geometry & loci (lines, circles, regions)
- Linear/affine maps z↦az+bz \mapsto az+b; rotations, dilations, translations
- Trig identities via complex numbers (series/Euler approach)
- Complex exponential & logarithm; principal values
- Inequalities & estimates (triangle/reverse triangle)
- Polynomials over C\mathbb{C}; Vieta, factorization
- Applications & mixed practice (phasors, geometric sums, transformations)
✅ Answer Key Included (answers for every exercise).
Perfect For:
✔️ Honors Algebra 2, Pre-Calculus, College Algebra/Intro Complex
✔️ Daily practice, spiral review, enrichment, or exam prep
✔️ Printable or digital PDF use in any classroom
Highlights
Description
This Complex Numbers Workbook is a print-and-go resource with 120 carefully sequenced exercises that build mastery from basics to advanced applications—perfect for classwork, homework, tutoring, intervention, or test prep. Clear chapter organization and mixed practice develop fluency with arithmetic in a+bia+bi, geometry on the Argand plane, polar/exponential forms, De Moivre’s Theorem, series tricks, and more. A complete answer key makes grading fast and supports independent study.
Topics Covered:
- Complex numbers & notation; arithmetic and conjugates
- Modulus & argument; geometric interpretation
- Polar & exponential forms; Euler’s formula
- Powers & n-th roots (De Moivre); roots of unity
- Argand geometry & loci (lines, circles, regions)
- Linear/affine maps z↦az+bz \mapsto az+b; rotations, dilations, translations
- Trig identities via complex numbers (series/Euler approach)
- Complex exponential & logarithm; principal values
- Inequalities & estimates (triangle/reverse triangle)
- Polynomials over C\mathbb{C}; Vieta, factorization
- Applications & mixed practice (phasors, geometric sums, transformations)
✅ Answer Key Included (answers for every exercise).
Perfect For:
✔️ Honors Algebra 2, Pre-Calculus, College Algebra/Intro Complex
✔️ Daily practice, spiral review, enrichment, or exam prep
✔️ Printable or digital PDF use in any classroom
