The text is the first edition of Rogawski's Calculus Early Transcendentals, W.H.Freeman, 2008, ISBN-10: 0-7167-7267-1. It has been augmented with some Rutgers "local matter," which is also available here.

Syllabus and suggested textbook homework problems
for 640:251:1-2-3, spring 2010
Timing and problem choice subject to change, announced in class and/or on a course webpage.
LectureTopic(s) and text sectionsSuggested problems
112.1 Vectors in the Plane
12.2 Vectors in Three Dimensions
12.1: 5, 9, 11, 15, 21, 45, 55
12.2: 11, 13, 19, 25, 27, 31, 51
212.3 Dot Product and the Angle Between Two Vectors
12.4 The Cross Product
12.3: 1, 13, 21, 29, 31, 52, 59, 63
12.4: 1, 5, 13, 20, 25, 43, 44
312.5 Planes in Three-Space 12.5: 1, 9, 11, 15, 25, 31, 53
413.1 Vector-Valued Functions
13.2 Calculus of Vector-Valued Functions
13.1: 5, 7, 13, 15, 19
13.2: 4, 14, 30, 31, 33, 41, 49
513.3 Arc Length and Speed
13.4 Curvature
13.5 Motion in Three-Space
13.3: 3, 9, 13, 19
13.4: 1, 7, 17, 21, 35
13.5: 3, 6, 25, 32
614.1 Functions of Two or More Variables
14.2 Limits and Continuity in Several Variables
14.1: 7, 20, 23, 27, 36, 40
14.2: 5, 15, 27, 33, 35
714.3 Partial Derivatives
14.4 Differentiability, Linear Approximation and Tangent Planes
14.3: 3, 19, 21, 39, 47, 50, 53
14.4: 3, 4, 7, 15, 27, 33
814.5 The Gradient and Directional Derivatives 14.5: 7, 13, 27, 31, 35, 37, 39, 43
914.6 The Chain Rule 14.6: 1, 5, 7, 17, 20, 23, 27, 30
1014.7 Optimization in Several Variables 14.7: 1, 3, 7, 17, 19, 24, 25, 27, 37
1114.8 Lagrange Multipliers: Optimizing with a Constraint 14.8: 2, 7, 11, 13, 15, 23
12Exam 1 (timing approximate!)
1315.1 Integration in Several Variables 15.1: 10, 15, 23, 25, 33, 37, 39
1415.2 Double Integrals over More General Regions 15.2: 3, 5, 11, 25, 32, 37, 43, 45, 49, 59
1515.3 Triple Integrals 15.3: 3, 5, 11, 15, 17, 25, 33
16 12.7 Cylindrical and Spherical Coordinates
15.4 Integration in Polar, Cylindrical, and Spherical Coordinates
12.7: 1, 5, 23, 31, 41, 43, 48, 53
15.4: 1, 5, 9, 19, 23, 27, 31, 37, 39, 42, 47, 51, 59
17
1815.5 Change of Variables 15.5: 1, 5, 14, 15, 21, 29, 33, 37
1916.1 Vector Fields 16.1: 1, 3, 10, 17, 23, 27
2016.2 Line Integrals 16.2: 3, 9, 13, 21, 27, 35, 39, 40
2116.3 Conservative Vector Fields 16.3: 1, 5, 9, 13, 17, 19, 21
22Exam 2 (timing approximate!)
2317.1 Green's Theorem 17.1: 1, 3, 6, 9, 12, 23, 27
2416.4 Parameterized Surfaces and Surface Integrals 16.4: 1, 5, 8, 11, 19, 21, 37
2516.5 Surface Integrals of Vector Fields 16.5: 1, 6, 9, 12, 15, 17, 23
2617.2 Stokes' Theorem 17.2: 1, 5, 9, 11, 19, 23
2717.3 Divergence Theorem 17.3: 1, 5, 7, 11, 14, 15, 18
28Catch up & review; possible discussion of some applications of vector analysis.