SUGGESTED WEEKLY SCHEDULE FOR MATH 251 (Fall and Spring)

Text: Calculus, Early Vectors, Preliminary Edition, by James Stewart. Individual sections may vary somewhat from this schedule.

• Week 1: Review of 3D vectors, dot and cross product. Sections 11.1, 11.2, 11.3. Lines and planes, quadric surfaces, functions of several variables. Sections 11.4, 11.5, 11.6.

• Week 2: Lines and planes, quadric surfaces, functions of several variables. Sections 11.4, 11.5, 11.6, 11.7.

• Week 3: Limits and continuity, partial derivatives, tangent planes, differentials. Sections 12.1, 12.2, 12.3, 12.4.

• Week 4: Chain rule, directional derivatives, gradients, max/min problems. Sections 12.5, 12.6, 12.7.

• Week 5: Lagrange multipliers, double integrals. Sections 12.8, 13.1.
  Note: if instructor is pressed for time, section 12.8 may be skipped.
  Exam I (covering 11.1-12.6)

• Week 6: Iterated integrals, double integrals over general regions, polar coordinates. Sections 13.2, 13.3, 13.4.

• Week 7: Integrals in polar coordinates, applications of double integrals, triple integrals. Sections 13.5, 13.6, 13.8.

• Week 8: Cylindrical and spherical coordinates, integrals in cylindrical and spherical coordinates, change of variables in multiple integrals. Sections 13.9, 13.10, 13.11.

• Week 9: Vector fields, line integrals. Section 14.1, 14.2.
  Exam II (covering 12.7 -13.11)

• Week 10: Fundamental theorem for line integrals, Green's Theorem, curl and divergence. Sections 14.3, 14.4, 14.5.

• Week 11: Parametric surfaces and their areas, surface integrals and Stokes' Theorem. Sections 14.6, 14.7, 14.8.

• Week 12: Divergence Theorem. Sections 14.9.

• Week 13: Catch-up. (Thanksgiving falls on this week in the fall).

• Week 14: Review
  Exam III (covering 14.1-14.9)

• Week 15: Review for Final Exam.