week  Monday 
Tuesday 
Wednesday 
Friday 
Sep. 59 
9.1 Vectors in R^2 
9.1 finished 
9.2 Vectors in R^3 9.3 The dot product 

Sep. 1216 
9.3 The dot product finished;
projections begun 
9.3 Projections finished 9.4 The cross product 
9.4 Properties of the cross
product HW1 due; HW1 solns 
9.5 Planes 
Sep. 1923 
9.5 Lines HW2 due HW2 solns 
9.5 Problems with lines and
planes 
10.1 Vector valued functions 
10.2 Velocity and acceleration HW3 due; HW3 solns 
Sep. 2630 
10.3 Parameterization 
10.3 Arc length HW4 due; HW4 solns 
Exam 1 
11.1 2 and 3variable functions 
Oct. 37 
11.1 Level sets/surfaces  11.2 Quadric surfaces  11.3 Limits of a function of several variables  11.3 more limits 11.4 Partial derivatives HW5 due; HW5 solns 
Oct. 1014 
Columbus Day 
no class 
11.4 Partial derivatives 
11.5 Differentiability 
Oct. 1721 
11.5 Chain rule 11.6 Directional derivatives and gradient of f(x,y) 
11.6 directional derivatives,
gradient examples 11.7 Tangent planes to surfaces 
11.6 More on gradients 11.7 Justification of gradient as normal vector; tangent plane approximation to f(x,y) HW6 due; HW6 solns 
11.7 concluded 
Oct. 2428 
11.8 Optimization 
11.8 Optimization 
Review HW7 due; HW7 solns 
Exam 2 
Oct. 31Nov. 4 
11.9 Lagrange multipliers 
More Lagrange multipliers 
12.1 Multiple integrals over
rectangles 
12.2
Integrals over general regions 
Nov. 711 
12.2 ct'd 12.3: Double integrals: volumes 
12.3 ct'd HW8 due HW8 solns 
12.4: Polar coordinates 
12.5: Double integrals in polar
coordinates 
Nov. 1418 
12.5 ct'd 
12.6 Triple integrals HW9 due HW9 solns 
12.6 ct'd 
12.8: Other coordinate systems 
Nov. 2125 
13.1 Vector fields 
13.1 ct'd 13.2 Line integrals HW10 due HW10 solns 
Thanksgiving 
Thanksgiving 
Nov. 28Dec. 2 
13.2 Line integrals 
Exam 3  13.3 Conservative vector fields 
13.3 Path independence 
Dec. 58 
13.5 Green's theorem 
13.5 Green's theorem HW11 due HW11 solns 
13.4 Div, grad, curl 
final class 13.5 problems solns 
Dec. 1115 

Dec. 17 Final 12:30 pm 