MATH 61

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HW #1
Due Fri Mar 14
READ Sections 4.1, 4.2 DO Section 4.1 (Taylor's Theorem), p. 252: 5, 11, 14, 21(a). 
Mon Mar 24: Welcome back from break. No homework due. 
HW #2
Due Fri Mar 28 by 3pm in the envelope
outside my office, Olin 1281. (Special time and place because of Cesar
Chavez holiday: no class on Friday Mar 28.)
READ Sections 4.3, 4.4 DO
Section 4.2 (Extrema of Functions),
p. 266: 7, 10, 20, 22(a), 29, 32. 
HW #3
Due Mon Mar 31, in class.
READ Sections 4.4 pp.282285 on Least Squares Approximation, 5.5 DO
Section 4.3 (Lagrange Multipliers),
p. 279: 1, 2, 8, 19, 21, 23, 29. DO
Section 4.4 (Applications of Extrema  Least Squares Approximation), 
HW #4
Due Fri Apr 4, in class.
READ Section 5.5 DO
Section 5.5 (Change of Variables),
p. 354: 1, 4, 6, 8, 10, 11, 16, 19. 
HW #5
Due Mon Apr 7, in class.
READ Sections 5.5, 6.2 DO Section 5.5 (Change of Variables), p. 354: 5, 7, 24, 29. For problems 24 and 29, first use the Jacobian to DERIVE the formula for the volume element in spherical (24) and cylindrical (29) coordinates. DO
Section 6.2 (Green's Theorem), 
Start reviewing for the midterm, which will be handed out on Friday 11 April and due on Mon 14 April. The midterm is on sections 4.1, 4.2, 4.3, 4.4, 5.5, 6.1, 6.2, 6.3. 
HW #6
Due Fri Apr 11, in class.
READ Section 6.3 DO
Section 6.3 (Conservative Vector Fields),
p. 409: 1, 8, 12, 13, 15, 19. DO
Section 6.4 (Miscellaneous Exercises for Chapter 6  cons. v. f.'s, and
work),
p. 410: 20, 22. 
Mon April 14: No homework due, because of midterm. 
HW #7
Due Fri Apr 18, in class.
READ Sections 7.1, 7.2 DO
Section 7.1 (Parametrized Surfaces),
p. 427: 1, 7, 11, 19, 22. DO
Section 7.2 (Surface Integrals),
p. 448: 1, 6, 7, 17, 20. 
HW #8
Due Mon Apr 21, in class.
READ Sections 7.2, 7.3 DO
Section 7.2 (Surface Integrals),
p. 448: 9, 11, 13, 15. DO
Section 7.3 (Stokes' Theorem),
p. 464: 1, 2, 5, 10. 
HW #9
Due Fri Apr 25, in class.
READ Sections 7.3, 7.4 DO
Section 7.3 (Gauss' Divergence Theorem),
p. 464: 9, 11, 12, 14. DO
Section 7.5 (Miscellaneous Exercises: average value of a function,
mass of a surface),
p. 484: 7(b), 8. 
HW #10
Due Mon Apr 28, in class.
READ Section 5.6 DO
Section 5.6 (Average value, moment of inertia),
p. 369: 4, 21. DO
Section 6.4 (Average value, centre of mass, moment of inertia),
p. 410: 1(b), (c), 2, 3. DO
Section 7.5 (Centre of mass, moment of inertia),
p. 484: 9, 11. 
HW #11
Due Fri May 2, in class.
Last one! READ Section 3.2 DO
Section 3.2 (Arclength and Differential Geometry),
p. 214: 3, 8, 12, 13, 17, 27. Hint for 17(a): Think of the curve y = f(x) as being in R^{3},
not just in R^{2}. 
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