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

General Information Syllabus HW Assignments


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Homework Assigments


Week of September 20 - 24, 2004
Assignments Made on:
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
Assignments Made on:
Monday(due Tuesday): (Assignment 2)
  • Study: Section 2.2
  • Do: Last Friday's Assignment
Tuesday (X-hour)(due Friday): (Assignment 3)
Wednesday (due Friday):(Assignment 4)
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
Assignments Made on:
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)
Friday (due Monday): (Assignment 8)


Week of October 11 - 15, 2004
Assignments Made on:
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
Assignments Made on:
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
Assignments Made on:
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
Assignments Made on:
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
Assignments Made on:
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
Assignments Made on:
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
Assignments Made on:
Monday(due Monday, November 29): (Assignment 26)
  • Study: Section 8.4
  • Do: pp 573 - 576: 2, 5, 7, 10, 14, 16, 23


Week of November 29 - December 3, 2004
Assignments Made on:
Monday(due Wednesday): (Assignment 27)
  • Study: The Beginning of Section 8.6
  • Do: pp 603 - 605: 1, 2
    Plus: Work on the second project.
Wednesday (due Sunday):(Assignment 28)


Ryan Daileda
Last updated May 31, 2008 12:24:04 EDT