Date    Chapter/Topics   or   Page/Problems

T  Jan 9    lecture canceled
W   11      Introduction          Ch. 9 Sec. 1 (25,28,35,45,46) Due W Jan 18  
                                  Ch. 9 Sec. 2 (12,21,26---these are the problem numbers in the 
                                                5th and 6th eds. see below 4th ed. numbers and 
                                                short identifying descriptions) 
                                  12. Rework Problem 11 (fired shell)
                                  21. Projectile fired directly (cannon figure)
                                  26. Bicycle (bicycle figure)
                                               (12,17,22---4th ed.) Due W Jan 18
                                               Extra: 27,28 ("Extra" means "not directly related to 
                                               your grade, i.e., ungraded, but problems from which 
                                               you can learn something---extra.")
                                  NOTE:  The problem numbers in section 9.1 are the same in all 
                                         editions.  
M   16      holiday 
W   18      curvature             Ch. 9 Sec. 3 (3,6,12,22---4th and 5th eds.) Due M Jan 23
            partial derivatives   Ch. 9 Sec. 4 (33,34,35,36,37---4th-6th ed.) Due M Jan 30 
                                               Extra: 55
                                  assignments above from the fourth edition

Henceforth differences in problem numbers between the 4th, 5th and 6th editions 
should be noted.  (If no difference is noted, assume the numbers are the same.)

M   23      other derivatives     Ch. 9 Sec. 5 (5,9,17,22,28,41---4th ed.) Due M Jan 30
                                               Extra: 49
     
W   25      level sets            Ch. 9 Sec. 6 (8,11,15,27,34,35---4th ed.) Due M Jan 30
M   30      divergence and curl   Ch. 9 Sec. 7 (5,9,22,27,33,37,43---4th ed.) Due M Feb 6
            integration on curves Ch. 9 Sec. 8 (7,19,31) Due M Feb 6
                                  Ch. 9 Sec. 9 (3,13,14,15,17) Due M Feb 6 
                                               Extra: 27,30-32
W  Feb 1    integration on areas  Ch. 9 Sec. 10 (15,16,19,30,36,44) Due M Feb 13
                                  Ch. 9 Sec. 11(7,13,19,26) Due M Feb 13
            Green's Theorem       Ch. 9 Sec. 12 (3,7,17,23,25,27,29) Due M Feb 13
M    6      Integration on surfaces Ch. 9 Sec. 13 (7,15,37) Due M Feb 13
            Stokes' Theorem         Ch. 9 Sec. 14 (5,7,13) Due M Feb 13
W    8      
M   13      Exam review
W   15      Exam 1
             grades 
             ironic grades 
M   20      3D integration          Ch. 9 Sec. 15 (11,28,31,51,75) Due M Feb 27
            Divergence Theorem      Ch. 9 Sec. 16 (5,11,18) Due M Feb 27
W   22      change of variables     Ch. 9 Sec. 17 (13,28) Due M Feb 27
M   27      PDE intro               Ch. 13 Sec. 1 (5,7,17,19,21,22,26,27,30) Due M Mar 6
W  Mar 1                            Ch. 13 Sec. 2 (5,6,9,10,11,12) Due M Mar 6
M    6      Fourier Series          Ch  12 Sec. 1 (2,4,8,13,15,22) Due M Mar 13
                                    Ch. 13 Sec. 3 (4,6,7) Due M Mar 13
W    8                              Ch. 12 Sec. 2 (11,20) Due M Mar 27
                                    Ch. 12 Sec. 3 (11,20,26) Due M Mar 27
M   13      Exam Review


W   15      Exam 2
             grades 
M   20      Spring Break
W   22      Spring Break
M   27      Review of Fourier series solutions
                                 Ch. 12 Sec. 3 (35,47)  Due M April 3
                                 Ch. 13 Sec. 4 (2,5*,8,11)  Due M April 3
                                    *   13.4.5 (4th ed.) = 13.4.3 (5th ed.)
W  29       More Fourier series solutions/exam solutions


M April 3  Laplace's PDE           Ch. 13 Sec. 5 (3,7,13)  Due M April 10
                        Consider all curves which connect (0,0) to (a,h) in the plane and are 
                        graphs of functions in C^1[0,a].  Write down a functional whose value 
                        on such a curve is the length of the curve.  Compute the variation of 
                        this functional and determine all minimizers in C^2[0,a].
                                
W    5                             Ch. 13 Sec. 5 (4,9,12,16,17) Due T April 10
M   10      properties of harmonic functions
                                   Ch. 17 Sec. 4 (1,3,5,7,18)   Due M April 17
                                   Ch. 17 Sec. 5 (1,3,9)        Due M April 17
                                   Ch. 17 Sec. 4 (25,39,41,42)  (extra)
                                   Ch. 20 Sec. 1 (1,3,11,13)    (extra)
                                   Ch. 20 Sec. 2 (7,13)         (extra)
W   12      properties of solutions of the heat equation
M   17      properties of solutions of the wave equation
                                   Ch. 13 Sec. 4 (12,13)        (extra)
            first order equations and characteristics
W   19
M   24      Last Monday of classes
W   26      Take a ride on the Reading

F   28      Final Exam 2:50-5:40