Math 253 Suggested Weekly Schedule

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

Note: This is a fall or spring schedule. In summer, this schedule is accelerated by 50% in order to accommodate a 10-week session.

• Week 1 3D vectors, dot and cross product. Sections 11.1, 11.2, 11.3.
• Week 2 Lines and planes, quadric surfaces, functions of several variables. Sections 11.4, 11.5, 12.1.
• Week 3 Limits and continuity, partial derivatives, tangent planes, differentials. Sections 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. Last Day of class is Tuesday of this week.