Google Classroom
GeoGebra
GeoGebra Classroom
Sign in
Search
Google Classroom
GeoGebra
GeoGebra Classroom
Outline
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
Author:
Sarah Harrelson
Topic:
Vectors 2D (Two-Dimensional)
,
Vectors 3D (Three-Dimensional)
,
Calculus
,
Parametric Curves
,
Vectors
Unit 1 of a high school Multivariable Calculus Class for LASA High School:
https://www.lasahighschool.org/
Table of Contents
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
Next
1.1.1 Introduction to parameterized curves
New Resources
Free fall
bewijs stelling van Pythagoras
Positive and Negative Space
seo tool
Silhouettes
Discover Resources
Tangent-Chord Angles
Halbkreise Erprobung03LocoRami
Parallel Lines & Transversal
กราฟสมการเชิงเส้น
EM 2019 P2 Q5a
Discover Topics
Polynomial Functions
Function Graph
Definite Integral
Random Variables
Straight Lines
