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Unit 1: Paths and Curves
1.1 Plane Curves
1.2 Calculus of Plane Curves
1.3 Speed and Arclength
1.4 Curvature
1.5 Space Curves
1.6 The Frenet Frame
Unit 1: Paths and Curves
Auteur :
Sarah Harrelson
Thème :
Vecteurs 2D (dans le Plan)
,
Vecteurs 3D (Espace)
,
Calcul
,
Courbes Paramétriques
,
Vecteurs
Unit 1 of a high school Multivariable Calculus Class for LASA High School:
https://www.lasahighschool.org/
Table des matières
1.1 Plane Curves
1.1.1 Introduction to parameterized curves
1.1.2 A subtlety
1.1.3 Properties of paths
1.1.4 Directed Lines and Line Segments
1.1.5 Transformations of paths (part 1)
1.1.6 Transforming the Parameter (Circles)
1.1.7 Transforming the parameter (directed lines)
1.1.8 Circles and Ellipses
1.2 Calculus of Plane Curves
1.2.1 The Cycloid Problem
1.2.2 The Velocity Vector
1.2.3 Tangent Line to a Plane Curve
1.2.4 A few product and chain rules
1.3 Speed and Arclength
1.3.1 Speed
1.3.2 Estimating length via line segments
1.3.3 Creating an integral
1.3.4 Arc length
1.3.5 Arc length parameterization
1.4 Curvature
1.4.1 The Unit Tangent Vector
1.4.2 Curvature (round 1)
1.4.3 Curvature (Round 2)
1.4.4 The Unit Normal
1.4.5 The Osculating Circle
1.5 Space Curves
1.5.1 Intro to Space Curves
1.5.2 Directed Lines
1.5.3 Circles
1.5.4 Projections onto Coordinate Planes
1.6 The Frenet Frame
1.6.1 The Osculating Circle for Space Curves
1.6.2 Acceleration
1.6.3 The Binormal Vector
1.6.4 Torsion
Suivant
1.1.1 Introduction to parameterized curves
Nouvelles ressources
רישום חופשי
bewijs stelling van Pythagoras
分數化百分數:練習
Nikmati Keunggulan Di Bandar Judi Terpercaya
立体几何-公理3及推论
Découvrir des ressources
Step 10
Osobine mešovitog proizvoda
Scalene Triangle Reflection Puzzle
Triangle: Area and Perimeter
Découvrir des Thèmes
Équations Linéaires
Fonctions Puissances
Régression Linéaire
Théorie des Ensembles
Cône