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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
Laundry Basket
Graphing Basic and Compound Inequalities
Writing and Graphing Proportional Relationships (k>0)
Modifiable Right Triangular Prism
Linear Combination of Vectors
Découvrir des ressources
mathematique IB
Spinning record spirograph
#3) Triangles in the Taxicab metric part 1
incenter_jaxon
Volume of Prisms
Découvrir des Thèmes
Triangles Isocèles
Segment
Entiers Naturels
Logique
Volume
