Polar Coordinates | Calculus 2 Lesson 45 - JK Math

How to Plot Polar Coordinates & Convert to Rectangular Coordinates (Calculus 2 Lesson 45)

In this video we learn about the polar coordinate system. We learn how the polar coordinate system works, including how to plot polar coordinates, how to find equivalent polar coordinates that represent the same point, and how to convert polar coordinates to rectangular coordinates and vice versa. We discuss each topic in detail and look at examples along the way.

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This video series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!

Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!


Video Chapters:
0:00 Why Polar Coordinates?
1:13 How Polar Coordinates Work
4:03 Polar Coordinate System & Plotting Points
9:50 Example - Plotting Polar Coordinates
16:39 Equivalent Polar Coordinates?
17:59 Example - Equivalent Polar Coordinates
26:11 Rules for Equivalent Polar Coordinates
29:23 Finding Conversion Formulas for Polar & Rectangular
34:27 Example - Converting Polar to Rectangular
38:37 Example - Converting Rectangular to Polar
46:06 Outro


📝 Examples Video:    • Polar Coordinates Examples (Plotting ...  

⏩ Next Lesson:    • Polar Equations vs Rectangular Equati...  

📺 Calculus 2 Playlist:    • Calculus 2  

📺 Calculus 1 Playlist:    • Calculus 1  


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