| §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 |