Progression

WkDateSectionsTopics
11/2412.1Equations, distances
21/2912.1, 12.2Vectors and the geometry of space
1/3112.3, 12.4Scalar and vector products
32/0512.5, 12.6Lines, planes and quadric surfaces
2/0713.1, 13.2Space curves, calculus for vector functions
42/1213.3, 13.4Arc length, curvature and applications
2/1414.1, 14.2Functions of several variables, limits and continuity
52/1914.3Partial derivatives
2/2114.4Tangent planes and linear approximations
62/2614.5The Chain Rule
2/2814.6, 14.7The gradient vector, extrema
73/04Midterm 1
3/0614.8Lagrange multipliers
8Spring Break
93/1815.1Optimization, integrals over rectangles
3/2015.2Double integrals over general regions
103/2515.3, 15.4Double integrals in polar coordinates, center of mass
3/2715.6Triple integrals
114/0115.7, 15.8Triple integrals in cylindrical and spherical coordinates
4/0315.9Changes of variables
124/0816.1, 16.2Vector fields and line integrals
4/10Midterm 2
134/1516.3The Fundamental Theorem for line integrals
4/1716.4Green's Theorem
144/2216.5Curl and divergence
4/2416.6, 16.7Surface integrals
154/2916.8Stokes' Theorem
5/0116.9The Divergence Theorem
🎓5/13Final examination