MATH 61

HW #1
Due Tuesday, May 18
READ Sections 4.1, 4.2 DO Section 4.1 (Taylor's Theorem), p. 252: 5, 11, 14, 21(a). 
HW #2
Due Wednesday, May 19
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 Thursday, May 20 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 Friday, May 21 in class.
READ Section 5.5 DO
Section 5.5 (Change of Variables),
p. 354: 1, 4, 6, 8, 10, 11, 16, 19. 
Start reviewing for the quiz I, which will be take place Tuesday, May 27, in class. The quiz I is on sections 4.1, 4.2, 4.3, 4.4, 5.5, 6.1, 6.2. 
HW #5
Due Mon, May 24, 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), 
Tuesday, May 25: No homework due, because of quiz I. 
HW #6
Due Wed May 26, 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. 
HW #7
Due Thursday, May 27, 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 Friday, May 28, in class.
READ Sections 7.2, 7.3 DO
Section 7.2 (Surface Integrals),
p. 448: 9, 11, 13, 15, 21. 
Start reviewing for the quiz II, which will be take place Tuesday, June 1, in class. The quiz II is on sections taught after quiz I. 
HW #9
Due Monday May 31, in class.
READ Sections 7.3, 7.4 DO
Section 7.3 (Stokes' Theorem),
p. 464: 1, 2, 5, 10. DO 
Tuesday, June 1: No homework due, because of quiz II. 
HW #10
Due Wednesday June 2, in class: a summary of the materials covered so far, a list of questions that you have for the course so far, and one problem that you think it should be on the final exam. 
HW #11
Due Thursday June 3, in class.
READ Section 5.6 DO
Section 5.6 (Average value, moment of inertia),
p. 369: 4, 11, 21. DO
Section 6.4 (Average value, centre of mass, moment of inertia),
p. 410: 1(b), (c). DO
Section 7.5 (Centre of mass, moment of inertia),
p. 484: 7(b), 8, 9. 
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