Parametric Equations (Patreon)

Parametric Equations Introduction, Eliminating The Paremeter t, Graphing Plane Curves, Precalculus

This precalculus video provides a basic introduction into parametric equations. It explains the process of eliminating the parameter t to get a rectangular equation of y in terms of an x variable. It also discusses how to graph plane curves which is the same as graphing parametric equations. This video is useful for high school and college students taking precalculus or calculus 2. This video contains plenty of examples and practice problems including parametric equations that contain trigonometry such as sine and cosine functions which leads to the graphs of conic sections such as circles and ellipses. Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU Calculus 1 - Derivatives: https://www.youtube.com/watch?v=5yfh5cf4-0w Antiderivatives: https://www.youtube.com/watch?v=xaCPDMEkbig Work Problems - Calculus: https://www.youtube.com/watch?v=TLw8xbmnY3c Integration By Parts: https://www.youtube.com/watch?v=sWSLLO3DS1I Homogeneous Differential Equations: https://www.youtube.com/watch?v=ZEJVyybsiT4 Slope Fields: https://www.youtube.com/watch?v=Wr9VOum9Co0 Improper Integrals: https://www.youtube.com/watch?v=ND9cEdfCFr0 Series Tests Review: https://www.youtube.com/watch?v=0YeON4p0ogw Taylor & Maclaurin Polynomials: https://www.youtube.com/watch?v=urPIxvNBXF0 Power Series - Interval Convergence: https://www.youtube.com/watch?v=EGni2-m5yxM Taylor & Maclaurin Series: https://www.youtube.com/watch?v=LDBnS4c7YbA ________________________________________________________________________________________ Parametric Equations - Introduction: https://www.youtube.com/watch?v=97pe-QlSGqA Derivatives of Parametric Functions: https://www.youtube.com/watch?v=kf2dZWqLnqE Tangent Lines of Parametric Curves: https://www.youtube.com/watch?v=vcZPjuG8GrM 2nd Derivative - Parametric Equations: https://www.youtube.com/watch?v=93IdxRdd5eg 3rd Derivative of Parametric Curves: https://www.youtube.com/watch?v=CZKl9C0_gMw Horizontal & Vertical Tangent Lines: https://www.youtube.com/watch?v=jD2RIjbv1Us Area of Parametric Curves: https://www.youtube.com/watch?v=riEx7TcLfzk Arc Length of Parametric Curves: https://www.youtube.com/watch?v=X8N21DrWmjU Surface Area of Parametric Curves: https://www.youtube.com/watch?v=USiKDtILhmc ________________________________________________________________________________________ Polar Coordinates - Introduction: https://www.youtube.com/watch?v=aSdaT62ndYE Polar to Rectangular Equations: https://www.youtube.com/watch?v=flTz_pSzVFI Rectangular to Polar Equations: https://www.youtube.com/watch?v=fTBkr27r3pw Tangent Line Equations - Polar Form: https://www.youtube.com/watch?v=ImtzLh8KhIE Horizontal & Vertical Tangents - Polar: https://www.youtube.com/watch?v=EVemXHWbqWI Area of Polar Curves: https://www.youtube.com/watch?v=GQ6cDvY8K9g Area Between Polar Curves: https://www.youtube.com/watch?v=TwKxDApaxVo Arc Length of Polar Curves: https://www.youtube.com/watch?v=bxswSV1utxg Surface Area of Polar Curves: https://www.youtube.com/watch?v=n-Zg7WgRzjA _________________________________________________________________________________________ Writing Equations of Ellipses: https://www.youtube.com/watch?v=OPSCKXXvWiM Eccentricity of an Ellipse: https://www.youtube.com/watch?v=9hyQksn80ug Area of an Ellipse: https://www.youtube.com/watch?v=Mw3MeDLL8d4 Circumference of an Ellipse: https://www.youtube.com/watch?v=r5pl_stL4c0 Hyperbolas - Conic Sections: https://www.youtube.com/watch?v=Iu-4-fizlD4 Parabolas - Conic Sections: https://www.youtube.com/watch?v=KYgmOTLbuqE Polar Equations of Conic Sections: https://www.youtube.com/watch?v=rnvCG_BZcL4 ________________________________________________________________________________________ Calculus 3 - Intro to Vectors: https://www.youtube.com/watch?v=2_21erD-nBg GRE Math Test Prep: https://www.youtube.com/watch?v=z6lbrzaCbdk Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w Calculus 2 Final Exam Review: https://www.youtube.com/watch?v=3RwUIP9pMSo Full Length Exams + Worksheets: https://bit.ly/4990rzU