Lehigh Math 23, Calculus III

Fall 2006 Syllabus

The following is a tentative syllabus for the course and will be updated periodically.  Reading assignments are from Calculus by Stewart. Students should read approximately half of the assigned reading before class.


Lectures Reading Topic
Day 1:  8/28 12.1 Three dimensional coordinate systems
Day 2:  8/30 12.2 Vectors
Day 3:  9/1 12.3 Dot product
Day 4:  9/4 12.4 Cross product
Day 5:  9/6 12.5 Lines in space
Day 6:  9/8 12.5 Planes in space
9/8 Last day to add/drop without "W"
Day 7:  9/11 12.6 Cylinders, quadric surfaces
Day 8:  9/13 12.7 Cylindrical, spherical coordinates
Day 9:  9/15 13.1 Vector functions, space curves
9/15 Last day select or cancel pass/fail
Day 10:  9/18 13.2 Derivatives, integrals of vector functions
Day 11:  9/20 13.3 Arclength, curvature
Day 12:  9/22 13.4 Motion, velocity, acceleration (skip Kepler)
Day 13:  9/25 Review Chapters 12-13
Day 14:  9/27 14.1 Functions of several variables
Day 15:  9/29 14.2 Limits, continuity
Day 16:  10/2 14.3 Partial derivatives
Day 17:  10/4 14.4 Tangent planes, linear approximation
Day 18:  10/6 14.5 Chain rule
10/9-10/10   Fall break
Day 19:  10/11 14.6 Directional derivatives, gradient
Day 20:  10/13 14.7 Maxima, minima
Day 21:  10/16 14.8 Lagrange multipliers
Day 22:  10/18 15.1 Double integrals over rectangles
Day 23:  10/20 15.2 Iterated integrals
Day 19:  10/23 15.3 Double integrals over general regions
Day 20:  10/25 15.4 Double integrals in polar coordinates
Day 21:  10/27 15.5 Applications of double integrals
Day 19:  10/30 15.6 Surface area
Day 20:  11/1 15.7 Triple integrals
Day 21:  11/3 15.8 Triple integrals in cylindrical, spherical coordinates
Day 19:  11/6 15.9 Change of variables in multiple integrals
Day 20:  11/8 Review Chapters 14-15
Day 21:  11/10 16.1 Vector fields
Day 23:  11/13 16.2 Line integrals
11/14 Last day to withdraw with "W"
Day 24:  11/15 16.3 Line integrals
Day 25:  11/17 16.4 Green's Theorem
Day 26:  11/20 16.5 Curl, divergence
11/22-11/24   Thanksgiving break
Day 27:  11/27 16.6 Parametric surfaces
Day 28:  11/29 16.7 Surface integrals
Day 29:  12/1 16.8 Stokes' Theorem
Day 30:  12/4 16.9 Divergence Theorem
Day 31:  12/6 Review Chapter 16
Day 32:  12/8 Review Chapters 12-16
12/? Final exam Chapters 12-16