§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 |