Introduction to Complex Numbers YouTube Workbook
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740311105
Table of contents: title: What is a complex number?; title: Video 1: Complex numbers are AWESOME; title: Basic operations involving complex numbers; title: Video 2: How to add/subtract two complex numbers; title: Video 3: How to multiply a real number with a complex number; title: Video 4: How to multiply complex numbers together; title: Video 5: How to divide complex numbers; title: Video 6: Complex numbers: Quadratic formula; title: What is the complex conjugate?; title: Video 7: What is the complex conjugate?; title: Video 8: Calculations with the complex conjugate; title: Video 9: How to show a number is purely imaginary; title: Video 10: How to prove the real part of a complex number is zero; title: Video 11: Complex conjuage and linear systems; title: Video 12: When are the squares of z and its conjugate equal?; title: Video 13: Conjugate of products is product of conjugates; title: Video 14: Why complex solutions appear in conjugate pairs; title: How big are complex numbers?; title: Video 15: How big are complex numbers?; title: Video 16: Modulus of a product is the product of moduli; title: Video 17: Square roots of complex numbers; title: Video 18: Quadratic equations with complex coefcients; title: Video 19: Show real part of complex number is zero; title: Polar trig form; title: Video 20: Polar trig form of complex number; title: Polar exponential form; title: Video 21: Polar exponential form of a complex number; title: Revision Video 22: Intro to complex numbers + basic operations; title: Revision Video 23: Complex numbers and calculations; title: Video 24: Powers of complex numbers via polar forms; title: Powers of complex numbers; title: Video 25: Powers of complex numbers; title: Video 26: What is the power of a complex number?; title: Video 27: Roots of comples numbers; title: Video 28: Complex numbers solutions to polynomial equations; title: Video 29: Complex numbers and tan (π/12); title: Video 30: Euler’s formula: A cool proof; title: De Moivre’s formula; title: Video 31: De Moivre’s formula: A cool proof; title: Video 32: Trig identities from De Moivre’s theorem; title: Video 33: Trig identities: De Moivre’s formula; title: Connecting sin, cos with e; title: Video 34: Trig identities and Euler’s formula; title: Video 35: Trig identities from Euler’s formula; title: Video 36: How to prove trig identities WITHOUT trig!; title: Revision Video 37: Complex numbers + trig identities; title: Regions in the complex plane; title: Video 38: How to determine regions in the complex plane; title: Video 39: Circular sector in the complex plane; title: Video 40: Circle in the complex plane; title: Video 41: How to sketch regions in the complex plane; title: Complex polynomials; title: Video 42: How to factor complex polynomials; title: Video 43: Factorizing complex polynomials; title: Video 44: Factor polynomials into linear parts; title: Video 45: Complex linear factors