# 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.

Last modified by pby on Tue Aug 16 2000.