Published 3/2023MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHzLanguage: English | Size: 1.03 GB | Duration: 4h 10m
Complex numbers in cartesian, polar and exponential form| Euler's and De Moivre's formula| Loci & Geometry| Solve roots What you'll learn What are complex numbers Complex numbers in cartesian form, polar form and exponential form Complex numbers on the argand diagram Euler's Formula Loci of complex numbers Geometry of complex numbers Solving polynomial equations involving complex numbers Finding the nth root De Moivre's Formula Requirements Algebra Some knowledge of trigonometry, vectors and exponential laws Description Welcome to this course on Introduction to Complex Numbers.This course provides a comprehensive introduction to the world of complex numbers, equipping you with the foundational knowledge to confidently solve equations and apply complex numbers in a wide range of fields, including mathematics, eeering, physics, and more.Our course is designed for students who have completed basic algebra and trigonometry. Our curriculum covers everything from algebraic operations with complex numbers to the geometry of the complex plane, polar forms of complex numbers, and the roots of complex numbers. Here's what you will learn:- Complex numbers in different forms (cartesian, polar and exponential form)- Euler's fomula- De Moivre's Formula- Geometry of complex numbers- Conjugates- Loci of complex numbers- Solving n root of complex numbersBy the end of our Introduction to Complex Numbers course, you'll have the confidence and knowledge to apply complex numbers in your work and continue exploring the fascinating world of mathematics. Don't miss out on this opportunity to expand your horizons and enhance your skills. Enroll now!About the InstructorRL Wong is a prolific tutor who had taught many students one-to- one or in group setting in Maths and Sciences. Being a Chal Eeer for more than a decade, she's familiar with the practical side of Math and Science to the real world, as well, as the concepts behind. Overview Section 1: Introduction Lecture 1 Introduction Section 2: Introduction to complex numbers Lecture 2 What are complex numbers? Lecture 3 The imaginary unit i Lecture 4 Different powers of i Section 3: Representing Complex Numbers Lecture 5 Representing Complex Numbers Lecture 6 Cartesian form Lecture 7 Representing Cartesian Form on Argand Diagram Lecture 8 Polar Form Lecture 9 Exponential form Lecture 10 Euler's Formula Lecture 11 Proving Euler's Formula by Power Series (For your interest) Lecture 12 Representing Exponential or Polar Form on the Argand Diagram Lecture 13 More on arg(z) or θ Section 4: Converting between different forms Lecture 14 From polar or exponential form to cartesian form Lecture 15 From cartesian form to polar or exponential form Section 5: Algebraic operations involving complex numbers Lecture 16 Operations involving complex numbers Lecture 17 Addition and Subtraction Lecture 18 Multiplication with a constant Lecture 19 Multiplication Lecture 20 Conjugate Lecture 21 Rationalize the denominator Lecture 22 Division Lecture 23 Division - Cartesian form Lecture 24 Division - Polar or exponential form Lecture 25 Power Section 6: De Moivre's formula Lecture 26 The Formula Lecture 27 Proving using laws of exponents and Euler's Formula Lecture 28 Application of De Moivre's Formula - Part 1 Section 7: Solving equations involving complex roots Lecture 29 What we will learn Lecture 30 Solving for real unknowns Lecture 31 Finding the nth root (exponential form) Lecture 32 Finding the nth root (polar form)| Application of De Moivre's Formula - Part 2 Lecture 33 Finding the nth root (cartesian form) Lecture 34 Solving Polynomial equations Section 8: Argand Diagram and the 4 Operations Lecture 35 Addition and Subtraction Lecture 36 Multiplication Part 1 Lecture 37 Multiplication Part 2 Section 9: Complex Loci Lecture 38 Introduction Lecture 39 Complex Loci 1 Lecture 40 Complex Loci 2 Lecture 41 Complex Loci 3 Students interested in Complex numbers,Eeering students who are taking math classes,Anyone interested in more advanced Math topics HomePage:
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