Section 9.1 Three-dimensional coordinate systems.
Suggested problems 5, 7, 11, 13, 17, 23, 27, 31, 35.
Section 9.2 Vectors.
Suggested problems 1, 3, 5, 9, 13, 15, 17, 19, 23, 35.
Section 9.3 The dot product.
Suggested problems 1, 3, 7, 15, 19, 21, 25, 31, 41, 43.
Section 9.4 The cross product.
Suggested problems 1, 5, 7, 9, 13, 17, 23, 27, 29, 33.
Section 9.5 Equations of lines and planes.
Suggested problems 5, 13, 15, 17, 25, 29, 31, 39, 45, 51.
Section 9.6 Functions and surfaces.
Suggested problems 1, 3, 5, 13, 15, 17, 19, 25.
Weekly review
Appendix H.1 Curves in polar coordinates.
Suggested problems 1, 3, 9, 13, 19, 21, 27, 49, 55.
Section 9.7 Cylindrical and spherical coordinates.
Suggested problems 3, 5, 7, 9, 15, 21, 23, 27, 33.
Section 10.1 Vector functions and space curves.
Suggested problems 1, 3, 9, 17, 19, 21, 23, 25, 33, 37.
Weekly review
Section 10.2 Derivatives and integrals of vector functions.
Suggested problems 1, 5, 9, 17, 21, 27, 33, 35, 39, 43.
Section 10.3 Arc length and curvature.
Suggested problems 1, 7, 9, 11, 17, 19, 21, 27, 31, 37.
Section 10.4 Motion in space: Velocity and acceleration.
Suggested problems 1, 7, 9, 13, 17, 21, 25, 27, 29, 33.
Weekly review
Exam 1 Chapter 9, Appendix H.1.
Section 10.5 Parametric surfaces.
Suggested problems 1, 5, 11 - 16, 17, 21, 27, 29.
Section 11.1 Functions of several variables.
Suggested problems 5, 9, 13, 21, 25, 31 - 36, 37, 41.
Section 11.2 Limits and continuity.
Suggested problems 1, 9, 13, 15, 17, 21, 27, 31, 33, 35.
Weekly review
Section 11.3 Partial derivatives.
Suggested problems 7, 9, 17, 29, 33, 37, 43, 45, 51, 59, 67, 77.
Section 11.4 Tangent planes and linear approximations.
Suggested problems 1, 3, 9, 13, 15, 17, 33, 37, 38.
Section 11.5 The chain rule.
Suggested problems 1, 7, 9, 19, 25, 29, 33, 37, 41, 47.
Weekly review
Section 11.6 Directional derivatives and the gradient vector.
Suggested problems 5, 15, 17, 21, 25, 27, 31, 37, 41, 43.
Section 11.7 Maximum and minimum values.
Suggested problems 1, 3, 7, 13, 25, 31, 35, 37, 43, 47.
Weekly review
Section 11.8 Lagrange multipliers.
Suggested problems 1, 3, 13, 17, 19, 23, 27, 29, 37, 39.
Section 12.1 Double integrals over rectangles.
Suggested problems 1, 5, 9, 11, 13, 17, 18.
Section 12.2 Iterated integrals.
Suggested problems 1, 3, 9, 13, 17, 19, 21, 23, 27, 31.
Weekly review
Exam 2 Chapters 9, 10, Sections 11.1 - 11.7, Appendix H.1.
Section 12.3 Double integrals over general regions.
Suggested problems 1, 7, 11, 15, 19, 21, 37, 39, 47, 53.
Appendix H.2 Areas and lengths in polar coordinates.
Suggested problems 1, 3, 5, 7, 11, 17, 19, 23, 35, 37.
Section 12.4 Double integrals in polar coordinates.
Suggested problems 5, 7, 11, 13, 17, 19, 21, 25, 27, 31.
Weekly review
Section 12.6 Surface area.
Suggested problems 3, 5, 7, 9, 11, 19, 21, 23, 25, 27.
Section 12.7 Triple integrals.
Suggested problems 3, 7, 15, 17, 21, 25, 27, 29, 31, 47.
Section 12.8 Triple integrals in cylindrical and spherical coordinates.
Suggested problems 1, 3, 5, 11, 19, 21, 27, 29, 31, 33.
Weekly review
Section 12.9 Change of variables in multiple integrals.
Suggested problems 1, 3, 5, 7, 9, 11, 13, 19, 21, 23.
Section 13.1 Vector fields.
Suggested problems 1, 5, 9, 11, 13, 15, 17, 23, 25, 29.
Section 13.2 Line integrals.
Suggested problems 1, 3, 5, 7, 9, 11, 13, 15, 17, 19.
Weekly review
Section 13.3 The fundamental theorem for line integrals.
Suggested problems 1, 3, 5, 7, 9, 13, 15, 17, 19, 23.
Section 13.4 Green's theorem.
Suggested problems 1, 3, 7, 9, 11, 13, 15, 17, 19, 21.
Weekly review
Exam 3 Chapters 9, 10, 11, 12 (except 12.5), Section 13.1, Appendices H.1, H.2.
Section 13.5 Curl and divergence.
Suggested problems 1, 3, 5, 11, 13, 15, 17, 29.
Section 13.6 Surface integrals.
Suggested problems 7, 9, 11, 17, 19, 21.
Weekly review
Section 13.7 Stokes' theorem.
Suggested problems 1, 3, 5, 7, 9, 13, 15.
Section 13.8 The divergence theorem.
Suggested problems 1, 3, 5, 7, 9, 13, 25.
Weekly review
Weekly review
Final exam Chapters 9, 10, 11, 12 (except 12.5), 13, Appendices H.1, H.2.