Explore the fundamental concepts of parametric equations in this comprehensive 30-minute video tutorial. Learn to differentiate between parametric and Cartesian coordinate systems, master graphing techniques, and practice converting between the two forms. Delve into advanced topics such as handling backwards travel in parametric equations and working with sine and cosine functions. Through a series of practical examples, gain proficiency in converting various parametric equations to their Cartesian (rectangular) counterparts, including complex cases like the infinity sign. Conclude by graphing specific parametric equations, enhancing your understanding of their behavior and applications in calculus.
Overview
Syllabus
Parametric vs. Cartesian (vid#1): Graphing & Converting.
Parametric vs. Cartesian (vid#2): Travel Backwards.
Parametric equations with sine and cosine.
10.1 #11 Convert parametric to Cartesian (rectangular).
10.1 #13 Convert parametric to Cartesian (rectangular).
10.1#15 Convert parametric to Cartesian (rectangular).
10.1 #18 Convert parametric to Cartesian (rectangular).
10.1 #19 Convert parametric to Cartesian (rectangular).
Graph of the infinity sign, Convert parametric to Cartesian (rectangular).
Graph x=t+sin(t) and y=cos(t).
Taught by
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