Below you will find links to the class notes.
Thursday, July 9 (Sections 11.1, 11.2, 11.3)
Monday, July 13 (Section 11.3)
11.4: The cross product (Monday, July 13)
11.5: Lines and planes in space (Monday, July 13 and Tuesday, July 14)
11.6: Surfaces in space (Tuesday, July 14 and Wednesday, July 15)
11.7: Cylindrical and spherical coordinates (Wednesday, July 15)
12.1: Vector-valued functions (Wednesday, July 15)
12.2: Differentiation and integration of vector-valued functions (Wednesday, July 15 and Thursday, July 16)
12.3: Velocity and acceleration (Thursday, July 16)
12.4: Tangent vectors and normal vectors (Thursday, July 16)
12.5: Arc length and curvature
13.1: Functions of several variables
13.2: Limits and continuity
13.3: Partial derivatives
13.4: Differentials
13.5: Chain rules for functions of several variables
13.6: Directional derivatives and gradients
13.7: Tangent planes and normal lines
13.8: Extrema of functions of two variables
13.9: Applications of Extrema
13.10: Lagrange multipliers
14.1: Iterated integrals and area in the plane
14.2: Double integrals and volume
14.3: Change of variables – polar coordinates
14.4: Center of mass and moments of inertia
14.5: Surface area
14.6: Triple integrals
14.7: Triple integrals in cylindrical and spherical coordinates
15.1: Vector fields
15.2: Line integrals
15.3: Conservative vector fields and independence of path
15.4: Greens Theorem
15.5: Parametric surfaces
15.6: Surface integrals
15.7: Divergence Theorem
15.8: Stokes’ Theorem