# Math 180 Fall 2021

Canvas page

## Graphing calculators

• Geogebra
• Math3d (Beware: by default, this app scales the $z$-axis by $1/2,$ which might make some things look wrong. You can adjust this under "Axes and Camera".)
• Grapher (Mac only)
• Desmos (2d only)

## Lecture videos

Videos made with Liqvid and THREE.js; captions by 3Play Media.
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§12 Vectors and the geometry of space
Wed Sep 8, 2021 §12.1 Three-Dimensional Coordinate Systems
Fri Sep 10, 2021 §12.2 Vectors
Mon Sep 13, 2021 §12.3 The Dot Product
Wed Sep 15, 2021 §12.4 The Cross Product
Fri Sep 17, 2021 §12.5 Lines and Planes in Space
§13 Vector-Valued Functions and Motion in Space
Mon Sep 20, 2021 §13.1 Curves in Space and Their Tangents
Wed Sep 22, 2021 §13.2 Integrals of Vector Functions; Projectile Motion
Fri Sep 24, 2021 §13.3 Arc Length in Space
§14 Partial Derivatives
Mon Sep 27, 2021 §14.1 Functions of Several Variables
Wed Sep 29, 2021 §14.2 Limits and Continuity in Higher Dimensions
Fri Oct 1, 2021 §14.3 Partial Derivatives
Mon Oct 4, 2021 §14.4 The Chain Rule
Wed Oct 6, 2021 §14.5 Directional Derivatives and Gradient Vectors
Fri Oct 8, 2021 §14.6 Tangent Planes and Differentials
Mon Oct 11, 2021 Indigenous Peoples' Day
Wed Oct 13, 2021 §14.7 Extreme Values and Saddle Points
Fri Oct 15, 2021 §14.8 Lagrange Multipliers
§15 Multiple Integrals
Mon Oct 18, 2021 §15.1 Double and Iterated Integrals over Rectangles
Wed Oct 20, 2021 §15.2 Double Integrals over General Regions
Fri Oct 22, 2021 §15.3 Area by Double Integration
Mon Oct 25, 2021 §15.4 Double Integrals in Polar Form
Wed Oct 27, 2021 §15.5 Triple Integrals in Rectangular Coordinates
Fri Oct 29, 2021 §15.7 Triple Integrals in Cylindrical and Spherical Coordinates
Mon Nov 1, 2021 §15.6 Applications
Wed Nov 3, 2021 §15.8 Substitutions in Multiple Integrals
§16 Integrals and Vector Fields
Mon Nov 8, 2021 §16.1 Line Integrals of Scalar Functions
Fri Nov 12, 2021 §16.2 Vector Fields and Line Integrals
Wed Nov 15, 2021 §16.3 Path Independence, Conservative Fields, and Potential Functions
Fri Nov 19, 2021 §16.4 Green’s Theorem in the Plane
Mon Nov 29, 2021 §16.5 Surfaces and Area
Wed Dec 1, 2021 §16.6 Surface Integrals
Mon Dec 6, 2021 §16.7 Stokes’ Theorem