PreCalculus - Polar Coordinates (English)

   Friday, October 30, 2020   

Starting a new Lecture Notes Series on PreCalculus - Polar Coordinates

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PreCalculus - Polar Coordinates 

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Lecture Description of this above Topic:

Lecture 1: Definition

Lecture 2: Additional Rules and Concepts

Lecture 3: Converting From Rectangular to Polar Coordinates

Lecture 4: Converting From Polar to Rectangular Coordinates

Lecture 5: Converting From Polar to Rectangular Coordinates - Set 2

Lecture 6: Converting From Polar to Rectangular Coordinates - Set 3

Lecture 7: Graphing Polar Equations: r=2.5, theta=pi/3

Lecture 8: Graphing Polar Equations: r=2sin(theta), The Circle

Lecture 9: Graphing Polar Equations: r=2+2sin(theta), The Cardioid

Lecture 10: Graphing Polar Equations: r=cos[2(theta)], Four Leaf Rose

Lecture 11: Graphing Polar Equations: r=1+2cos(theta), Limacon

Lecture 12: Graphing Polar Equations: r=3, r=3sin(theta), Circles

Lecture 13: Graphing Polar Equations: theta=pi/4, theta=pi/4, Lines

Lecture 14: Graphing Polar Equations: r=3cos4(theta), Roses

Lecture 15: Graphing Polar Equations: r=3cos3(theta), Roses

Lecture 16: Graphing Polar Equations: r=3sin3(theta), Roses

Lecture 17: Graphing Polar Equations: r=3sin2(theta), Roses

Lecture 18: Graphing Polar Equations: r=1+/-cos(theta), Limacons

Lecture 19: Graphing Polar Equations: r=13+2cos(theta), Limacons***

Lecture 20: Graphing Polar Eqns: r^2=(2^2)[cos2(theta)], Lemniscate

Lecture 21: Graphing Polar Epns: r^2=(2^2)[sin2(theta)], Lemniscate

Lecture 22: Graphing Polar Eqns: r=3(theta), r=0.5(theta), Spiral

Lecture 23: Complex Numbers: Imaginary Axis

Lecture 24: Complex Numbers: Modulus

Lecture 25: Complex Numbers: Conversions I

Lecture 26: Complex Numbers: Conversions II

Lecture 27: Complex Numbers: Multiply and Divide

Lecture 28: Complex Numbers: de Moivre's Theorem

Lecture 29: Complex Numbers: Finding the Roots

Lecture 30: Complex Numbers: Proof of the Product Rule

Lecture 31: Complex Numbers: Proof of de Moivre's Theorem

Lecture 32: Parametric Equations

Lecture 33: Parametric Equations

Lecture 34: Parametric Equations in Polar Form