REVIEW 1   Vectors, Surfaces, and Curves                     5th Edition
Lesson Section Topic                                        Page Problems
  2    12.3    Dot products: scalar and vector projections   812 [6,7]38,50
  3    12.4    Cross Products: area and volume               820 [3]26,30
  4    12.5    Distance from a point to a plane              829 [1]10[9]66
  6    12.7    Converting to Cylindrical&Spherical Coord     842 [3,6]52
                                                             846 Review 46
  9    13.3    Find T,N,curvature using definitions (p.868)  868 40,A
           A.  Curve r = <sin t, cos t, ln cos t>
 10    13.4    Velocity and Acceleration in space            878 [3]18

REVIEW 2   Curvature, Partial Derivatives, Double Integrals  5th Edition
Lesson Section Topic                                        Page Problems
 12    14.2    Limits and continuity                         908 [1,3]10,12,16,22
 14    14.4    Affine approximations and total differentials 930 [2]4,6[4,5]24,32
 15    14.5    Chain Rule                                    938 [1]4[3]10
 16    14.6    Plane tangent and line normal to a surface    950 [8]40,42
 17    14.7    Local maxima, minima, and saddles             961 [3]8,10
 21    15.4    Double integrals in circular coordinates     1008 [1-2]10,12
 22    15.5    Density, mass, moments, centers              1018 [2,3]8,12,10
                                                            1051  37a

REVIEW 3   Integration and Green's Theorem                   5th Edition
Lesson Section Topic                                        Page Problems
 24    15.7    Triple integrals in rectangular coordinates  1030 [1-3]14,16
 25    15.8    Triple integrals in cylindrical&spherical co 1037 [1-2]10!12[4]22,24
 26    15.9    Substitution in multiple integrals; Jacobian 1048 [2]12,18[3]20,22
 28    16.2    Line integrals                               1071 [5]8,14
 29    16.3    FTC for line integrals                       1081 [4-5]12,14,20
 30    16.4    2-d forms of Green's Theorem                 1089 [1,2]8,10
 31    16.5    Curl and Divergence                          1096    16, 18

REVIEW for the FINAL EXAMINATION                             5th Edition
Lesson Section Topic                                        Page Problems
 14    14.4    Affine approximations and total differentials 930 [6]26,36
 16    14.6    Plane tangent and line normal to a surface    950 [8]44,46(by hand)
 17    14.7    Local maxima, minima, and saddles             961 [3]12,16
 28    16.2    Line integrals                               1071 [5]16
 29    16.3    FTC for line integrals                       1081 [4-5]16,18,28
 30    16.4    2-d forms of Green's Theorem                 1089 [1,2,4]14
 33    16.7    Flux of a Vector Field across a Surface      1119 [5]28,40,not26
 34    16.8    Stokes' Theorem                              1125 [1-2]10,12,18
 35    16.9    Gauss' Theorem                               1132 [1-2]8,10,14

REMEMBER THE FOLLOWING
L1      Don't write components of a vector as terms in a scalar sum!
L3      When computing a 3x3 determinant, put the extra minus sign in front of the j term.
L14     Know the meaning of the term total differential and how to find it.
L4,16   Use the vector or scalar parametric form of the equation for a line, not the symmetric form.
L17     Be prepared to solve simultaneous equations for the coordinates of critical points.
L28     Know how to parametrize a straight line segment.
L28     Understand the notation for a line integral; it is not just the sum of separate integrals.
L29     Know whether to evaluate a line integral with a potential.
L30     Know whether to evaluate a line integral with Green's Theorem.
L34     Know the meaning of the term circulation.
L32     Know how to find a normal to a surface as a cross product   ru x rv  or  rx x ry  .
L33,35  Know the meaning of the term flux.