Pre-Calculus 10: Polar Coordinates

Video Lectures

Displaying all 35 video lectures.
Lecture 1
Definition of Polar Coordinates
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Definition of Polar Coordinates
In this video I will define polar coordinates and compares it to rectangular coordinates.

Next video in the polar coordinates series can be seen at:
http://youtu.be/ii31Gy4quqo
Lecture 2
Additional Rules and Concepts
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Additional Rules and Concepts
In this video I will explain additional rules and concepts of polar coordinates.

Next video in the polar coordinates series can be seen at:
http://youtu.be/cYsM9gX1sas
Lecture 3
Converting From Rectangular to Polar Coordinates
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Converting From Rectangular to Polar Coordinates
In this video I will covert rectangular to polar coordinates.

Next video in the polar coordinates series can be seen at:
http://youtu.be/5rphR2lP9TU
Lecture 4
Converting From Polar to Rectangular Coordinates
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Converting From Polar to Rectangular Coordinates
In this video I will covert and graphs polar to rectangular coordinates (set 1).

Next video in the polar coordinates series can be seen at:
http://youtu.be/3TUlaQGatvU
Lecture 5
Converting From Polar to Rectangular Coordinates - Set 2
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Converting From Polar to Rectangular Coordinates - Set 2
In this video I will covert and graphs polar to rectangular coordinates (set 2).

Next video in the polar coordinates series can be seen at:
http://youtu.be/M9-5Xa3egXc
Lecture 6
Converting From Polar to Rectangular Coordinates - Set 3
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Converting From Polar to Rectangular Coordinates - Set 3
In this video I will covert and graphs polar to rectangular coordinates (set 3).

Next video in the polar coordinates series can be seen at:
http://youtu.be/kcrWh0ud6tY
Lecture 7
Graphing Polar Equations: r=2.5, theta=pi/3
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Graphing Polar Equations: r=2.5, theta=pi/3
In this video I will graph polar equations r=2.5 and theta=pi/3.

Next video in the polar coordinates series can be seen at:
http://youtu.be/pEinQzZzeys
Lecture 8
Graphing Polar Equations: r=2sin(theta), The Circle
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Graphing Polar Equations: r=2sin(theta), The Circle
In this video I will graph polar equation r=2sin(theta), the circle.

Next video in the polar coordinates series can be seen at:
http://youtu.be/31RuVLiOSgY
Lecture 9
Graphing Polar Equations: r=2+2sin(theta), The Cardioid
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Graphing Polar Equations: r=2+2sin(theta), The Cardioid
In this video I will graph polar equation r=2+2sin(theta), the cardioid.

Next video in the polar coordinates series can be seen at:
http://youtu.be/6JriOnFezsE
Lecture 10
Graphing Polar Equations: r=cos[2(theta)], Four Leaf Rose
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Graphing Polar Equations: r=cos[2(theta)], Four Leaf Rose
In this video I will graph polar equation r=cos[2(theta)], 4 leaf rose.

Next video in the polar coordinates series can be seen at:
http://youtu.be/8QnQxAMfbWM
Lecture 11
Graphing Polar Equations: r=1+2cos(theta), Limacon
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Graphing Polar Equations: r=1+2cos(theta), Limacon
In this video I will graph polar equation r=1+2cos(theta), the limacon.

Next video in the polar coordinates series can be seen at:
http://youtu.be/IsM6KBgYdn8
Lecture 12
Graphing Polar Equations: r=3, r=3sin(theta), Circles
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Graphing Polar Equations: r=3, r=3sin(theta), Circles
In this video I will graph polar equation r=3, r=3sin(theta), r=cos(theta), r=-3, circles.

Next video in the polar coordinates series can be seen at:
http://youtu.be/6z9waSJ60L0
Lecture 13
Graphing Polar Equations: theta=pi/4, theta=pi/4, Lines
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Graphing Polar Equations: theta=pi/4, theta=pi/4, Lines
In this video I will graph polar equation theta=pi/4, theta=pi/2, r=3sec(theta), straight lines.

Next video in the polar coordinates series can be seen at:
http://youtu.be/Kq9nR_vZNJk
Lecture 14
Graphing Polar Equations: r=3cos4(theta), Roses
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Graphing Polar Equations: r=3cos4(theta), Roses
In this video I will graph polar equation r=3cos2(theta), r=3cos4(theta), r=3cos6(theta), r=3cos8(theta), roses.

Next video in the polar coordinates series can be seen at:
http://youtu.be/gHq4El7wJQ4
Lecture 15
Graphing Polar Equations: r=3cos3(theta), Roses
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Graphing Polar Equations: r=3cos3(theta), Roses
In this video I will graph polar equation r=3cos(theta), r=3cos3(theta), r=3cos5(theta), r=3cos7(theta), roses.

Next video in the polar coordinates series can be seen at:
http://youtu.be/y2COhd--uUU
Lecture 16
Graphing Polar Equations: r=3sin3(theta), Roses
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Graphing Polar Equations: r=3sin3(theta), Roses
In this video I will graph polar equation r=3sin(theta), r=3sin3(theta), r=3sin5(theta), roses.

Next video in the polar coordinates series can be seen at:
http://youtu.be/bcqw4wdwlIQ
Lecture 17
Graphing Polar Equations: r=3sin2(theta), Roses
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Graphing Polar Equations: r=3sin2(theta), Roses
In this video I will graph polar equation r=3sin2(theta), r=3sin4(theta), r=3sin6(theta), roses.

Next video in the polar coordinates series can be seen at:
http://youtu.be/VvabAxXAVq8
Lecture 18
Graphing Polar Equations: r=1+/-cos(theta), Limacons
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Graphing Polar Equations: r=1+/-cos(theta), Limacons
In this video I will graph polar equation r=1+2cos(theta), r=1-2cos(theta), r=1+2sin(theta), r=1-2sin(theta), limacons.

Next video in the polar coordinates series can be seen at:
http://youtu.be/I3TebyBZ1_M
Lecture 19
Graphing Polar Equations: r=13+2cos(theta), Limacons***
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Graphing Polar Equations: r=13+2cos(theta), Limacons***
In this video I will graph polar equation r=1+2cos(theta), r=2+2cos(theta), r=3+2cos(theta), r=4+2cos(theta), limacons.

Next video in the polar coordinates series can be seen at:
Lecture 20
Graphing Polar Eqns: r^2=(2^2)[cos2(theta)], Lemniscate
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Graphing Polar Eqns: r^2=(2^2)[cos2(theta)], Lemniscate
In this video I will graph polar equation r^2=(2^2)[cos2(theta)], the lemniscate.

Next video in the polar coordinates series can be seen at:
http://youtu.be/WzlQjURlikE
Lecture 21
Graphing Polar Epns: r^2=(2^2)[sin2(theta)], Lemniscate
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Graphing Polar Epns: r^2=(2^2)[sin2(theta)], Lemniscate
In this video I will graph polar equation r^2=(2^2)[sin2(theta)], the lemniscate.

Next video in the polar coordinates series can be seen at:
http://youtu.be/lbdYN9S9aPs
Lecture 22
Graphing Polar Eqns: r=3(theta), r=0.5(theta), Spiral
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Graphing Polar Eqns: r=3(theta), r=0.5(theta), Spiral
In this video I will graph polar equation r=3(theta), r=0.5(theta), spirals.

Next video in the polar coordinates series can be seen at:
http://youtu.be/p6larkrDuqE
Lecture 23
Complex Numbers: Imaginary Axis
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Complex Numbers: Imaginary Axis
In this video I will explain the polar form of complex numbers and imaginary axis.

Next video in the polar coordinates series can be seen at:
http://youtu.be/EBTqXbrNKHM
Lecture 24
Complex Numbers: Modulus
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Complex Numbers: Modulus
In this video I will explain the modulus of the polar form of complex numbers.

Next video in the polar coordinates series can be seen at:
http://youtu.be/yf22lfJ1JCU
Lecture 25
Complex Numbers: Conversions I
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Complex Numbers: Conversions I
In this video I will convert the polar form of complex numbers.

Next video in the polar coordinates series can be seen at:
http://youtu.be/-8VnR68isrM
Lecture 26
Complex Numbers: Conversions II
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Complex Numbers: Conversions II
In this video I will convert z=1+i, z=-1+i(3)^(1/2) to polar form of complex numbers.

Next video in the polar coordinates series can be seen at:
http://youtu.be/wW9sBdYJn2M
Lecture 27
Complex Numbers: Multiply and Divide
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Complex Numbers: Multiply and Divide
In this video I will multiply and divide the polar form complex numbers.

Next video in the polar coordinates series can be seen at:
http://youtu.be/4lwKIQ3b0lc
Lecture 28
Complex Numbers: de Moivre's Theorem
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Complex Numbers: de Moivre's Theorem
In this video I will explain the de Moivre's Theorem.

Next video in the polar coordinates series can be seen at:
http://youtu.be/NvBNDJeTn3Y
Lecture 29
Complex Numbers: Finding the Roots
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Complex Numbers: Finding the Roots
In this video I will find the roots of the polar form complex numbers.

Next video in the polar coordinates series can be seen at:
http://youtu.be/7cS-SpsNzAI
Lecture 30
Complex Numbers: Proof of the Product Rule
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Complex Numbers: Proof of the Product Rule
In this video I will prove the product rule of the polar form complex numbers.

Next video in the polar coordinates series can be seen at:
http://youtu.be/cbj0Q0EJ_jI
Lecture 31
Complex Numbers: Proof of de Moivre's Theorem
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Complex Numbers: Proof of de Moivre's Theorem
In this video I will prove the de Moivre's Theorem.

Next video in the polar coordinates series can be seen at:
http://youtu.be/YsxU4GIhmuo
Lecture 32
Parametric Equations
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Parametric Equations
In this video I will graph the parameter equations x=t^2+3t, y=t-1.

Next video in the polar coordinates series can be seen at:
http://youtu.be/JBDuUkgBN7A
Lecture 33
Parametric Equations
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Parametric Equations
In this video I will graph the parameter equations x=cos(t), y=sin(t).

Next video in the polar coordinates series can be seen at:
http://youtu.be/VVR8LkUa1SU
Lecture 34
Parametric Equations: Eliminating the Parameters
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Parametric Equations: Eliminating the Parameters
In this video I will graph y=2+t, x=4+t by eliminating the parameter.

Next video in the polar coordinates series can be seen at:
http://youtu.be/JWw99dGR7Zw
Lecture 35
Parametric Equations in Polar Form
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Parametric Equations in Polar Form
In this video I will graph the parameter equations r=theta, x=rcos(theta), y=rsin(theta).

First video in the polar coordinates series can be seen at:
https://youtu.be/HsJa1YViS3o