Math 14
Calculus of Vector-Valued Functions, Honors
Last updated May 31, 2008 12:24:04 EDT

Announcements:

• The Second Project is now available! If you need a copy of it, it can be found on the homework assignments page.
• Two review handouts are available on the assignments page. They are together with the assignment for Wednesday, December 1.

## Homework Assigments

Week of September 20 - 24, 2004
 Wednesday(due Friday): (Assignment 1) Study: Sections 1.1 - 1.5 (Don't worry too much about general matrices and determinants. We'll discuss them later.) Do: pp 22 - 23: 14, 16, 26 p 37: 18 p 62: 15b, 15c, 16c, 18 p 86: 2 Friday (due Monday): (Assignment 2) Study: Sections 2.1 and 2.2 Do: pp 105 - 107: 2, 18 (just describe the level sets), 32 pp 125 - 127: 3, 8, 17a, 17b, 25

Week of September 27 - October 1, 2004
 Monday(due Tuesday): (Assignment 2) Study: Section 2.2 Do: Last Friday's Assignment Tuesday (X-hour)(due Friday): (Assignment 3) Study: Limits handout, Matrix handout (just the first section), first part of Section 2.3 Do: No problems assigned. Wednesday (due Friday):(Assignment 4) Study: Remainder of Section 2.3, Derivatives handout Do: pp 139 - 141: 4, 5, 7a, 7b, 12a, 19 Plus: Two problems on linear functions Friday (due Monday): (Assignment 5) Study: Sections 2.4, 2.5, 2.6 Do: pp 149-150: 16, 18 pp 159 - 163: 2c, 2d, 2e, 4 (forget the verification part; just use the chain rule to find dh/dx), 8 Plus: These additional problems

Week of October 4 - 8, 2004
 Monday(due Wednesday): (Assignment 6) Study: Section 2.6 Do: pp 171 - 173: 2a, 2c, 4a, 4c, 6b, 11, 16 Tuesday(due Wednesday): (Assignment 6b) Study: Sections 3.1, 3.2 Do: pp 191 - 193: 1, 4, 6, 11, 19 Plus: Problem 19b Wednesday (due Friday):(Assignment 7) Study:Section 3.3 Do: pp 222 - 225: 2, 11, 17, 21, 36 Plus: These problems on matrices and quadratic forms Friday (due Monday): (Assignment 8) Study:Section 3.4 (just the examples) and the Lagrange Multipliers Handout Do: pp 243 - 246: 10, 12, 16, 21, 20, 23

Week of October 11 - 15, 2004
 Monday(due Wednesday): (Assignment 9) Study: Sections 3.5 and 4.3. First midterm study guide Do: pp 253 - 255: 2,7,10 pp 293 - 294: 18 Wednesday (due Friday):(Assignment 10) Study:Section 4.4 Do:pp 310 - 313: 3, 4, 14, 26 Plus: This problem on the flow lines of (x^2 - y^2, 2xy) Friday (due Monday): (Assignment 11) Study: Sections 5.1 and the beginning of 5.2 Do: pp 325 - 327: 5, 7, 8, 9 pp 339 - 340: 2, 3, 7, 9 (only show that the iterated integral exists) Plus: These technical problems on integration.

Week of October 18 - 22, 2004
 Monday(due Wednesday): (Assignment 12) Study: Sections 5.2, 5.3 and 5.4 Do: pp 339 - 340: 5, 12 pp 347 - 348: 6, 7, 9, 14, 15 pp 353 - 354: 2a, 2b, 2d, 11, 12 Wednesday (due Friday):(Assignment 13) Study: Section 5.5 Do: pp 353 - 354: 3, 5 pp 363 - 365: 1 - 4, 9, 12, 15, 25, 26, 27 Friday (due Monday): (Assignment 14) Study: Section 6.1 Do: pp 375 - 376: 2, 3, 6, 11 Plus: These problems on the map T(x,y) = (x^2 - y^2, 2xy)...don't worry about the fourth problem here.

Week of October 25 - 29, 2003
 Monday(due Wednesday): (Assignment 15) Study: Section 6.2 Do: pp 390 - 393: 1, 3, 5, 7 (ignore the part about T; just let D be the unit disk), 8, 11, 15, 21, 22 Wednesday (due Friday):(Assignment 16) Study: Sections 6.3 and 6.4 Do: pp 415 - 417: 5, 8, 9, 17 (for all of these problems, feel free to use whatever sort of "exhausting regions" you are comfortable with; but you *must* compute these improper integrals as limits of ordinary integrals) Plus: The first project (Due Friday, November 5) Friday (due Monday): (Assignment 17) Study: Sections 7.1 and 4.2 Do: pp 427 - 429: 1, 2b, 3, 4, 6, 14 Plus: These problems on curves

Week of November 1 - 5
 Monday(due Wednesday): (Assignment 18) Study: Section 7.2 Do: pp 447 - 451: 1a, 1b, 1c, 2, 4, 5, 6, 11, 15, 16 Wednesday (due Friday): Study: End of Section 7.2, Beginning of Section 7.3 Do: Work on the project, now due Wednesday, November 20 Friday (due Monday): (Assignment 19) Study: Section 7.3 Do: pp 447 - 451: 14, 15 pp 459 - 460: 2, 3 (for this one, you do not need to compute u and v if you're clever), 5, 8, 14, 15

Week of November 8 - 12, 2004
 Monday(due Wednesday): (Assignment 20) Study: Section 7.4 Do: pp 471 - 474: 4, 5, 6, 8, 10 (don't worry about the interpretation part), 16, 20 (just find the surface area) Wednesday (due Friday):(Assignment 21) Study: Section 7.5 Do: pp 480 - 483: 2, 4 (the hint means you shouldn't actually integrate anything), 7, 11, 15, 16, 18 (if it helps, you may assume the sphere is centered at the origin and that p = (0,0,z_0)) Friday (due Monday): (Assignment 22) Study: Section 7.6 Do: pp 497 - 500: 4, 5, 7, 10, 12, 14, 16

Week of November 15 - 19, 2004
 Monday(due Wednesday): (Assignment 23) Study: Section 8.1 Do: pp 528 - 532: 5, 6, 10, 12, 15, 16, 19 Plus: The second project (Due Wednesday, December 1) Wednesday (due Monday, November 22):(Assignment 24) Study: Section 8.2 Do: pp 547 - 550: 2, 5, 9, 11, 12, 16, 18, 19, Friday (due Monday): (Assignment 25) Study: Section 8.3 Do: pp 558 - 561: 1 (Hint: use the technique given in class to show that if grad(f) = 0, then f = constant), 3, 4, 5, 7, 12, 14, 15

Week of January 6 - 10, 2003