Fall 2021

Math 2530-04 Calculus III

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Assigned Work

    Definitions
  • "With reading": Do these problems after you read a section, in preparation for class. Do not turn your solutions in.
  • "Group work": These problems will be assigned to be done in class in groups. Each group will turn in one solution set to be graded for credit. Each group work has a deadline for initial submission, and a final deadline for corrections (usually) four class days later
  • "Practice": Do these problems after the section has been covered in class. These problems are generally a little more challenging than the ones assigned with the reading. Do not turn your solutions in.
  • You must also do the assignments posted in WeBWorK (Reading and Homework). These assignments contribute to your "Homework" grade.
  • Due on Tuesday August 31:
    On a separate sheet of paper, please write (or, preferably, type) a paragraph or two about yourself. What is your mathematical background? Why are you taking this class? What are you hoping to get out of this class? Have you used WeBWorK before? How do you intend to ensure a successful experience in this class? Visit the web site for this class (http://sylow.slu.edu, click on "Fall 2021 Classes" in the green box on the left) - tell me something about it that you like, and something that could be improved. Where is New Zealand? Write anything else you wish. This assignment must be turned in on paper in class (not electronically).

    Finally: Where is New Zealand?


    • Important: send an email to your family, telling them when your tests and final exam are in this class, advising them NOT to book travel that conflicts with these events.
  • Chapter 12 Functions of Several Variables
    • Check Your Understanding
      • pp. 682-683: 1-65 odd
    • Section 12.1 Functions of Two Variables
      • With reading: 1-25 odd
      • WeBWorK Reading assignment due 1 pm August 27
      • Group work (August 25): 44, 48, 50; first deadline August 27, final deadline September 3
      • Practice: 26, 27, 29, 31, 41, 43, 45, 49, 51
    • Section 12.2 Graphs and Surfaces
      • With reading: 1-5, 7-17 odd, 32
      • WeBWorK Reading assignment due 1 pm August 27
      • Group work (August 27): 23, 24, 28, 30, 40; first deadline August 30, final deadline September 7
      • Practice: 19, 21, 27, 31, 35, 39, 41
    • Section 12.3 Contour Diagrams
      • With reading: 1, 4, 5, 9, 13, 16-18
      • WeBWorK Reading assignment due 1 pm August 30
      • Group work (August 30): 30, 32, 40; first deadline August 31, final deadline September 8
      • Practice: 12, 21, 23, 24, 27, 29, 33, 37, 42, 45, 49, 50, 53
    • Section 12.4 Linear Functions
      • With reading: 1-15 odd
      • WeBWorK Reading assignment due 1 pm August 31
      • Group work (August 31-September 1): 18, 21, 22, 26; first deadline September 3, final deadline September 13
      • Practice: 19, 25, 26, 35, 37, 39, 41
    • Section 12.5 Functions of Three Variables
      • With reading: 1-3, 5, 7-11, 13, 15
      • WeBWorK Reading assignment due 1 pm September 3
      • Group work (September 3): 4, 16, 24, 32, 36; first deadline September 7, final deadline September 14
      • Practice: 17, 19, 21, 23, 25, 27-29, 31, 35, 39
    • Section 12.6 Limits and Continuity
      • With reading: 1-15
      • WeBWorK Reading assignment due 1 pm September 7
      • Group work (September 7): 16, 20, 22; first deadline September 8, final deadline September 15
      • Practice: 17, 19, 21, 23, 27
  • Chapter 13 A Fundamental Tool: Vectors
    • Check Your Understanding
      • p. 720: 1-29 odd
    • Section 13.1 Displacement Vectors
      • With reading: 1-9 odd, 13, 15, 19-29 odd
      • WeBWorK Reading assignment due 1 pm September 8
      • Group work (September 8): 40, 41, 46; first deadline September 10, final deadline September 17
      • Practice: 31-37 odd, 38, 39
    • Section 13.2 Vectors in General
      • With reading: 1-10
      • WeBWorK Reading assignment due 1 pm September 10
      • Group work (September 10): 14, 18, 26; first deadline September 13, final deadline September 20
      • Practice: 11, 16, 17-21 odd, 24, 27
    • Section 13.3 The Dot Product
      • With reading: 1-5, 7-33 odd
      • WeBWorK Reading assignment due 1 pm September 13
      • Group work (September 13-14): 36, 40, 52; first deadline September 15, final deadline September 22
      • Practice: 35, 37, 41, 45-51 odd, 55, 59, 63, 69, 75, 80 (assume in R3)
    • Section 13.4 The Cross Product
      • With reading: 1-15 odd, 19, 21
      • WeBWorK Reading assignment due 1 pm September 14
      • Group work (September 14-15): 28, 34; first deadline September 17, final deadline September 24
      • Practice: 27-31 odd, 35-37, 41-45 odd, 52, 53
  • Chapter 14 Differentiating Functions of Several Variables
    • Check Your Understanding
      • pp. 788-789: 1-47 odd
    • Section 14.1 The Partial Derivative
      • With reading: 1, 3, 4, 5, 9-15 odd, 16-19, 20
      • WeBWorK Reading assignment due 1 pm September 17
      • Group work (September 17): 22, 24, 32, 37-39; first deadline September 21, final deadline September 28
      • Practice: 21, 25, 29, 30, 35, 36, 40, 41
    • Section 14.2 Computing Partial Derivatives Algebraically
      • With reading: 1-39 odd
      • WeBWorK Reading assignment due 1 pm September 21
      • Group work (September 21): 2-40 even at the board; nothing to turn in
      • Practice: 44, 45, 47-49, 51-53, 55, 57, 58
    • Section 14.3 Local Linearity and the Differential
      • With reading: 1-23 odd
      • WeBWorK Reading assignment due 1 pm September 22
      • Group work (September 22): 26, 28, 44; first deadline September 24, final deadline October 1
      • Practice: 25, 31, 35, 40, 41, 43, 46, 47, 49, 51
    • Section 14.4 Gradients and Directional Derivatives in the Plane
      • With reading: 1-35 odd, 39, 43, 47-55 odd
      • WeBWorK Reading assignment due 1 pm September 24
      • Group work (September 24): 58, 66, 70, 82, 92; first deadline September 27, final deadline October 4
      • Practice: 57, 63, 65, 69, 75-81 odd, 85, 91-95 odd, 98, 99
    • Section 14.5 Gradients and Directional Derivatives in Space
      • With reading: 1-25 odd, 29-33 odd, 37-41 odd
      • WeBWorK Reading assignment due 1 pm September 27
      • Group work (September 27): 38, 46, 48, 68; first deadline September 28, final deadline October 5
      • Practice: 45, 47, 51, 55, 57, 61-65 odd, 69-73 odd
    • Section 14.6 The Chain Rule
      • With reading: 1-15 odd, 29
      • WeBWorK Reading assignment due 1 pm September 28
      • Group work (September 28-29): 20, 28, 37, 38; first deadline October 1, final deadline October 8
      • Practice: 17, 19, 21, 23, 31, 33, 34, (39, 40)
    • Section 14.7 Second-Order Partial Derivatives
      • With reading: 1-21 odd, 22-31
      • WeBWorK Reading assignment due 1 pm October 1
      • Group work (October 1): 40, 50, 52, 64; first deadline October 4, final deadline October 11
      • Practice: 41-45 odd, 49, 51, 62-64
    • Section 14.8 Differentiability
      • With reading: 1-10
      • WeBWorK Reading assignment due 1 pm October 4
      • Group work (October 4): 15; first deadline October 5, final deadline October 12
      • Practice: 11, 13, 17, 18, 19
  • Chapter 15 Optimization: Local and Global Extrema
    • Check Your Understanding
      • pp. 822-823: 1-33 odd
    • Section 15.1 Critical Points: Local and Global Extrema
      • With reading: 1-27 odd
      • WeBWorK Reading assignment due 1 pm October 5
      • Group work (October 5): 14, 30, 40; first deadline October 6, final deadline October 13
      • Practice: 29, 33, 34-37, 39, 47, 49, 51
    • Section 15.2 Optimization
      • With reading: 1-3, 5-21 odd
      • WeBWorK Reading assignment due 1 pm October 6
      • Group work (October 6, October 8): 28, 32, 38; first deadline October 11, final deadline October 19
      • Practice: 23-31 odd, 35-41 odd
    • Section 15.3 Constrained Optimization: Lagrange Multipliers
      • With reading: 1, 3, 7, 8, 11, 12, 14, 17, 19
      • WeBWorK Reading assignment due 1 pm October 8
      • Group work (October 8, October 11): 28, 36, 48; first deadline October 12, final deadline October 20
      • Practice: 24-26, 35, 37, 38, 47
  • Chapter 16 Integrating Functions of Several Variables
    • Solutions to Multiple Integration Set-Up activity.
    • Check Your Understanding
      • pp. 875-876: 1-29 odd
    • Section 16.1 The Definite Integral of a Function of Two Variables
      • With reading: 1, 3, 5, 7
      • WeBWorK Reading assignment due 1 pm October 12
      • Group work (October 12): 14, 16, 20; first deadline October 13, final deadline October 22
      • Practice: 8, 9, 11, 14, 15, 17, 19
    • Section 16.2 Iterated Integrals
      • With reading: 1-25 odd
      • WeBWorK Reading assignment due 1 pm October 13
      • Group work (October 13): 32, 36, 46; first deadline October 15, final deadline October 25
      • Practice: 29, 30, 31-49 odd, 55, 59, 63-69 odd, 75
    • Section 16.3 Triple Integrals
      • With reading: 1, 5-11 odd, 15
      • WeBWorK Reading assignment due 1 pm October 15
      • Group work (October 15): 46, 56; first deadline October 19, final deadline October 26
      • Practice: 17, 21, 25, 27, 35, 39, 41, 45-49 odd, 51-53, 55, 57, 58, 62, 75
    • Section 16.4 Double Integrals in Polar Coordinates
      • With reading: 1-8, 9-15 odd
      • WeBWorK Reading assignment due 1 pm October 19
      • Group work (October 19): 16, 20, 32; first deadline October 20, final deadline October 27
      • Practice: 19-23 odd, 27, 30, 31, 35, 36, 39, 38
    • Section 16.5 Integrals in Cylindrical and Spherical Coordinates
      • With reading: 1-17 odd
      • WeBWorK Reading assignment due 1 pm October 20
      • Group work (October 20, October 22): 20, 38; first deadline October 25, final deadline November 2
      • Practice: 19-41 odd, 49, 55, 59, 61, 63
  • Chapter 17 Parameterization and Vector Fields
    • Check Your Understanding
      • pp. 920-921: 1-41 odd
    • Section 17.1 Parameterized Curves
      • With reading: 1-9 odd, 13, 17-23 odd, 24, 27-35 odd, 39, 43, 45
      • WeBWorK Reading assignment due 1 pm October 25
      • Group work (October 25): 42, 54, 60, 70, 76; first deadline October 26, final deadline November 3
      • Practice: 47, 49, 55-59 odd, 67-71 odd, 75, 77, 84, 85, 93, 95
    • Section 17.2 Motion, Velocity and Acceleration
      • With reading: 1-7 odd, 11-21 odd
      • WeBWorK Reading assignment due 1 pm October 26
      • Group work (October 26): 30, 44; first deadline October 27, final deadline November 5
      • Practice: 23-33 odd, 37, 41, 46, 48
    • Section 17.3 Vector Fields
      • With reading: 1-6, 7-11 odd, 15, 17, 20-22
      • WeBWorK Reading assignment due 1 pm October 27
      • Group work (October 27): 24, 28, 34, 36; first deadline November 1, final deadline November 8
      • Practice: 23, 27-35 odd, 40
    • Section 17.4 The Flow of a Vector Field
      • With reading: 1-9 odd
      • WeBWorK Reading assignment due 1 pm November 1
      • Group work (November 1-2): 10 (work with 4 decimal places), 16 (sketch and include arrows!), 22; first deadline November 3, final deadline November 10
      • Practice: 11, 13, 15, 19, 23
  • Chapter 18 Line Integrals
    • Check Your Understanding
      • pp. 964-965: 1-43 odd
    • Section 18.1 The Idea of a Line Integral
      • With reading: 1-25 odd
      • WeBWorK Reading assignment due 1 pm November 3
      • Group work (November 3): 32, 42, 44, 52; first deadline November 5, final deadline November 12
      • Practice: 29, 33, 34, 37, 43, 47-59 odd
    • Section 18.2 Computing Line Integrals Over Parameterized Curves
      • With reading: 1, 3, 5, 9, 11, 13-15, 21, 25-29 odd, 33
      • WeBWorK Reading assignment due 1 pm November 5
      • Group work (November 5): 30, 38, 42 (do this problem two ways: by parameterizing the path of motion, and by the "obvious" short cut); first deadline November 8, final deadline November 15
      • Practice: 35-43 odd
    • Section 18.3 Gradient Fields and Path Independent Fields
      • With reading: 1, 3-12, 13-25 odd
      • WeBWorK Reading assignment due 1 pm November 8
      • Group work (November 8): 32, 46, 48, 60; first deadline November 9, final deadline November 16
      • Practice: 27-33 odd, 37, 41, 42, 45, 49, 50, 53, 52, 56, 59
    • Section 18.4 Path-Dependent Vector Fields and Green's Theorem
      • With reading: 1-17 odd
      • WeBWorK Reading assignment due 1 pm November 9
      • Group work (November 9-10): 20, 24, 32; first deadline November 12, final deadline November 19
      • Practice: 19-23 odd, 24, 27, 30-33, 35, 37, 41
  • Chapter 19 Flux Integrals and Divergence
    • Check Your Understanding
      • pp. 992-993: 1-15 odd
    • Section 19.1 The Idea of a Flux Integral
      • With reading: 1-7 odd, 9-11, 13, 17, 19, 21, 25, 35
      • WeBWorK Reading assignment due 1 pm November 12
      • Group work (November 12): 48, 54, 70; first deadline November 15, final deadline November 22
      • Practice: 41, 45-47, 49, 53, 58, 59, 61, 69, 71
    • Section 19.2 Flux Integrals for Graphs, Cylinders, and Spheres
      • With reading: 1-7 odd, 11, 15, 17, 23, 27, 31, 35
      • WeBWorK Reading assignment due 1 pm November 15
      • Group work (November 15-16): 38, 52, 56; first deadline November 17, final deadline November 29
      • Practice: 39, 45, 46, 53, 54, 55, 57, 59, 64, 65
    • Section 19.3 The Divergence of a Vector Field
      • With reading: 1-9 odd, 12, 13
      • WeBWorK Reading assignment due 1 pm November 17
      • Group work (November 17): 18, 24, 38; first deadline November 19, final deadline December 1
      • Practice: 19, 21, 25, 29, 30, 32, 33, 39, 43
    • Section 19.4 The Divergence Theorem
      • With reading: 1-9 odd
      • WeBWorK Reading assignment due 1 pm November 19
      • Group work (November 19): 8, 14, 24; first deadline November 22, final deadline December 3
      • Practice: 11, 15, 19, 23, 25, 29-37 odd
  • Chapter 20 The Curl and Stokes' Theorem
    • Check Your Understanding
      • pp. 1032-1033: 1-47 odd
    • Section 20.1 The Curl of a Vector Field
      • With reading: 1-17 odd
      • WeBWorK Reading assignment due 1 pm November 22
      • Group work (November 22): 20, 24; first deadline November 23, final deadline December 6
      • Practice: 19, 23, 26, 27-33 odd
    • Section 20.2 Stokes' Theorem
      • With reading: 1-15 odd
      • WeBWorK Reading assignment due 1 pm November 23
      • Group work (November 23): 18, 26, 28; first deadline November 29, final deadline December 7
      • Practice: 17-23 odd, 27, 29, 35, 38
    • Section 20.3 The Three Fundamental Theorems
      • With reading: 1-11 odd, 15, 17
      • WeBWorK Reading assignment due 1 pm November 29
      • Group work (November 29): 22, 24, 28; first deadline December 1, final deadline December 8
      • Practice: 9, 19, 20, 23, 25-27
  • Chapter 21 Parameters, Coordinates, and Integrals
    • Check Your Understanding
      • pp. 1032-1033: 1-47 odd
    • Section 21.1 Coordinates and Parameterized Surfaces
      • With reading: 1-11 odd
      • WeBWorK Reading assignment due 1 pm December 1
      • Group work (December 1, December 3): 28, 30, 32; first deadline December 6, final deadline December 13
      • Practice: 15-25 odd, 31, 33, 37-41 odd
    • Section 21.2 Change of Coordinates in a Multiple Integral
      • With reading: 1-9 odd
      • WeBWorK Reading assignment due 1 pm December 3
      • Group work (December 3, December 6): 14, 16 (Hint: let s = x + y and t = x - y); first deadline December 7, final deadline December 14
      • Practice: 10, 11-17 odd
    • Section 21.3 Flux Integrals Over Parameterized Surfaces
      • With reading: 1-9 odd
      • WeBWorK Reading assignment due 1 pm December 7
      • Group work (December 7-8): 6, 12; first deadline December 10, final deadline December 15
      • Practice: 11, 10, 13-17 odd