Fall 2022

Math 2530-05 Calculus III

A printed version of this page has no headers, footers, menu bars or this message.

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.
    Assigned Work
  • Due on Tuesday August 30:
    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 2022 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.
  • Introduction to WeBWorK due August 29
  • Chapter 12 Functions of Several Variables
    • Section 12.1 Functions of Two Variables
      • With reading: 1-25 odd
      • WeBWorK Reading assignment due 2 pm August 26
      • Group work (August 24): 44 (write an equation and describe the set in words), 48, 50; first deadline August 26, final deadline September 2
      • Practice: 26, 27, 29, 31, 41, 43, 45 (write an equation and describe the set in words), 49, 51
    • Section 12.2 Graphs and Surfaces
      • With reading: 1-7, 9-17 odd, 32
      • WeBWorK Reading assignment due 2 pm August 26
      • Group work (August 26): 23, 24, 28, 30, 40; first deadline August 29, final deadline September 6
      • Practice: 19, 21, 27, 29, 31, 35, 39, 41
    • Section 12.3 Contour Diagrams
      • With reading: 1, 4, 11-13, 15, 18, 21
      • WeBWorK Reading assignment due 2 pm August 29
      • Group work (August 29): 34, 36, 44; first deadline August 30, final deadline September 7
      • Practice: 18, 25, 27, 28, 29, 31, 33, 37, 46, 49, 53, 54, 57
    • WeBWorK Sections 12.1-12.3 due September 1
    • Section 12.4 Linear Functions
      • With reading: 1-15 odd
      • WeBWorK Reading assignment due 2 pm August 30
      • Group work (August 30-31): 18, 21, 22, 26; first deadline September 2, final deadline September 12
      • Practice: 19, 25, 26, 35, 37, 39, 41, 43
    • Section 12.5 Functions of Three Variables
      • With reading: 1-3, 5, 7-11, 13, 15
      • WeBWorK Reading assignment due 2 pm September 2
      • Group work (September 2): 4, 16, 24, 32, 36; first deadline September 6, final deadline September 13
      • 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 2 pm September 6
      • Group work (September 6): 16, 20, 22; first deadline September 7, final deadline September 14
      • Practice: 17, 19, 21, 23, 27
    • WeBWorK Sections 12.4-12.6 due September 12
  • Chapter 13 A Fundamental Tool: Vectors
    • Section 13.1 Displacement Vectors
      • With reading: 1-9 odd, 13, 15, 19-29 odd
      • WeBWorK Reading assignment due 2 pm September 7
      • Group work (September 7): 40, 41, 46; first deadline September 9, final deadline September 16
      • Practice: 31-37 odd, 38, 39
    • Section 13.2 Vectors in General
      • With reading: 1-10
      • WeBWorK Reading assignment due 2 pm September 9
      • Group work (September 9): 14, 18, 26; first deadline September 12, final deadline September 20
      • Practice: 11, 16, 17-21 odd, 24, 27, 37
    • Section 13.3 The Dot Product
      • With reading: 1-5, 7-33 odd
      • WeBWorK Reading assignment due 2 pm September 12
      • Group work (September 12-13): 40, 42, 56; first deadline September 14, final deadline September 21
      • Practice: 39, 43, 45, 49-55 odd, 59, 63, 67, 73, 79, 84 (assume in R3)
    • Section 13.4 The Cross Product
      • With reading: 1-15 odd, 19, 21
      • WeBWorK Reading assignment due 2 pm September 13
      • Group work (September 13-14): 28, 34; first deadline September 16, final deadline September 23
      • Practice: 27-31 odd, 35-37, 41-45 odd, 52, 53
    • WeBWorK Chapter 13 due September 21
  • Chapter 14 Differentiating Functions of Several Variables
    • Section 14.1 The Partial Derivative
      • With reading: 1, 3, 4, 5, 9-15 odd, 16-19, 20
      • WeBWorK Reading assignment due 2 pm September 16
      • Group work (September 16): 22, 24, 32, 37-39; first deadline September 20, final deadline September 27
      • 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 2 pm September 20
      • Group work (September 20): 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 2 pm September 21
      • Group work (September 21): 26, 28, 44; first deadline September 23, final deadline September 30
      • Practice: 25, 31, 35, 40, 41, 43, 46, 47, 49, 51
    • WeBWorK Sections 14.1-14.3 due September 30
    • Section 14.4 Gradients and Directional Derivatives in the Plane
      • With reading: 1-35 odd, 39, 43, 47-55 odd
      • WeBWorK Reading assignment due 2 pm September 23
      • Group work (September 23): 58, 66, 70, 82, 92; first deadline September 26, final deadline October 3
      • 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 2 pm September 26
      • Group work (September 26): 38, 46, 48, 68; first deadline September 27, final deadline October 4
      • 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 2 pm September 27
      • Group work (September 27, September 30): 20, 28, 37, 38; first deadline October 3, final deadline October 10
      • Practice: 17, 19, 21, 23, 31, 33, 34, (39, 40; for students of physical chemistry)
    • WeBWorK Sections 14.4-14.6 due October 7
    • Section 14.7 Second-Order Partial Derivatives
      • With reading: 1-21 odd, 22-33
      • WeBWorK Reading assignment due 2 pm October 3
      • Group work (October 3): 42, 52, 54, 66; first deadline October 4, final deadline October 11
      • Practice: 41-47 odd, 51, 53, 64, 65
    • Section 14.8 Differentiability
      • With reading: 1-10
      • WeBWorK Reading assignment due 2 pm October 4
      • Group work (October 4): 15; first deadline October 5, final deadline October 12
      • Practice: 11, 13, 17, 18, 19
    • WeBWorK Sections 14.7-14.8 due October 11
  • Chapter 15 Optimization: Local and Global Extrema
    • Section 15.1 Critical Points: Local and Global Extrema
      • With reading: 1-27 odd
      • WeBWorK Reading assignment due 2 pm October 5
      • Group work (October 5): 14, 30, 40; first deadline October 7, final deadline October 14
      • Practice: 29, 33, 34-37, 39, 47, 49, 51
    • Section 15.2 Optimization
      • With reading: 1-3, 5-21 odd
      • WeBWorK Reading assignment due 2 pm October 7
      • Group work (October 7, October 10): 28, 32, 38; first deadline October 11, final deadline October 18
      • Practice: 23-31 odd, 35-41 odd
    • WeBWorK Sections 15.1-15.2 due October 14
    • Section 15.3 Constrained Optimization: Lagrange Multipliers
      • With reading: 1, 3, 7, 8, 11, 12, 14, 17, 19
      • WeBWorK Reading assignment due 2 pm October 10
      • Group work (October 10-11): 28, 36, 48; first deadline October 12, final deadline October 21
      • Practice: 24-26, 35, 37, 38, 47
    • WeBWorK Section 15.3 due October 18
  • Chapter 16 Integrating Functions of Several Variables
    • Solutions to Multiple Integration Set-Up activity.
    • Section 16.1 The Definite Integral of a Function of Two Variables
      • With reading: 1, 3, 5, 7
      • WeBWorK Reading assignment due 2 pm October 12
      • Group work (October 12): 14, 16, 20; first deadline October 14, final deadline October 24
      • Practice: 8, 9, 11, 14, 15, 17, 19
    • Section 16.2 Iterated Integrals
      • With reading: 1-25 odd
      • WeBWorK Reading assignment due 2 pm October 14
      • Group work (October 14): 32, 36, 46; first deadline October 17, final deadline October 25
      • Practice: 29, 30, 31-49 odd, 55, 59, 63-69 odd, 75
    • WeBWorK Sections 16.1-16.2 due October 21
    • Section 16.3 Triple Integrals
      • With reading: 1, 5-11 odd, 15
      • WeBWorK Reading assignment due 2 pm October 17
      • Group work (October 17-18): 46, 56; first deadline October 21, final deadline October 31
      • 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 2 pm October 21
      • Group work (October 21): 16, 20, 32; first deadline October 24, final deadline November 1
      • Practice: 19-23 odd, 27, 30, 31, 35, 36, 39, 38
    • WeBWorK Sections 16.3-16.4 due October 31
    • Section 16.5 Integrals in Cylindrical and Spherical Coordinates
      • With reading: 1-19 odd
      • WeBWorK Reading assignment due 2 pm October 24
      • Group work (October 24-25): 22, 40; first deadline October 26, final deadline November 4
      • Practice: 21-43 odd, 51, 57, 61, 63, 65
    • WeBWorK Section 16.5 due November 2
  • Chapter 17 Parameterization and Vector Fields
    • 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 2 pm October 26
      • Group work (October 26): 42, 54, 60, 72, 77; first deadline October 31, final deadline November 7
      • Practice: 47, 49, 55-59 odd, 67-71 odd, 75, 77, 85, 87, 95, 96
    • Section 17.2 Motion, Velocity and Acceleration
      • With reading: 1-7 odd, 11-21 odd
      • WeBWorK Reading assignment due 2 pm October 31
      • Group work (October 31): 30, 44; first deadline November 1, final deadline November 8
      • 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 2 pm November 1
      • Group work (November 1-2): 24, 28, 34, 36; first deadline November 4, final deadline November 11
      • Practice: 23, 27-35 odd, 40
    • Section 17.4 The Flow of a Vector Field
      • With reading: 1-9 odd
      • WeBWorK Reading assignment due 2 pm November 2
      • Group work (November 2, November 4): 10 (work with 4 decimal places), 16 (sketch and include arrows!), 22; first deadline November 7, final deadline November 14
      • Practice: 11, 13, 15, 19, 23
    • WeBWorK Chapter 17 due November 11
  • Chapter 18 Line Integrals
    • Section 18.1 The Idea of a Line Integral
      • With reading: 1-25 odd
      • WeBWorK Reading assignment due 2 pm November 7
      • Group work (November 7): 32, 42, 44, 52; first deadline November 8, final deadline November 15
      • 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 2 pm November 8
      • Group work (November 8): 30, 38, 42 (do this problem two ways: by parameterizing the path of motion, and by the "obvious" short cut); first deadline November 9, final deadline November 16
      • Practice: 35-43 odd
    • WeBWorK Sections 18.1-18.2 due November 15
    • Section 18.3 Gradient Fields and Path Independent Fields
      • With reading: 1, 3-12, 13-25 odd
      • WeBWorK Reading assignment due 2 pm November 9
      • Group work (November 9): 32, 46, 48, 60 (before reaching your conclusion in (b), first compute the work done around the complete circle using the same method as in (a)); first deadline November 11, final deadline November 18
      • 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 2 pm November 11
      • Group work (November 11, November 14): 20, 28, 36; first deadline November 15, final deadline November 22
      • Practice: 19-27 odd, 28, 31, 34-37, 39, 41, 45
    • WeBWorK Sections 18.3-18.4 due November 18
  • Chapter 19 Flux Integrals and Divergence (including two sections of Chapter 21)
    • Section 19.1 The Idea of a Flux Integral
      • With reading: 1-5 odd, 6-8, 11, 13, 17, 19, 21, 25, 35
      • WeBWorK Reading assignment due 2 pm November 15
      • Group work (November 15): 48, 54, 70; first deadline November 16, final deadline November 28
      • Practice: 41, 45-47, 49, 53, 58, 59, 61, 69, 71
    • Section 21.1 Coordinates and Parameterized Surfaces
      • With reading: 1-11 odd
      • WeBWorK Reading assignment due 2 pm November 16
      • Group work (November 16): 28, 30, 32; first deadline November 18, final deadline November 29
      • Practice: 15-25 odd, 31, 33, 37-41 odd
    • Section 21.3 Flux Integrals Over Parameterized Surfaces
      • With reading: 1-9 odd
      • WeBWorK Reading assignment due 2 pm November 18
      • Group work (November 18): 6, 12; first deadline November 21, final deadline December 2
      • Practice: 11, 10, 13-17 odd
    • WeBWorK Sections 21.1, 21.3 due November 28
    • 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 2 pm November 21
      • Group work (November 21-22): 38, 52, 56; first deadline November 28, final deadline December 5
      • 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 2 pm November 28
      • Group work (November 28): 18, 24, 38; first deadline November 29, final deadline December 7
      • 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 2 pm November 29
      • Group work (November 29): 8, 14, 28; first deadline December 2, final deadline December 9
      • Practice: 11, 15, 19, 21-29 odd, 33-41 odd
    • WeBWorK Chapter 19 due December 6
  • Chapter 20 The Curl and Stokes' Theorem
    • Section 20.1 The Curl of a Vector Field
      • With reading: 1-17 odd
      • WeBWorK Reading assignment due 2 pm December 2
      • Group work (December 2): 20, 24; first deadline December 5, final deadline December 12
      • Practice: 19, 23, 26, 27-33 odd
    • Section 20.2 Stokes' Theorem
      • With reading: 1-15 odd
      • WeBWorK Reading assignment due 2 pm December 5
      • Group work (December 5): 18, 26, 28; first deadline November 6, final deadline December 13
      • 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 2 pm December 6
      • Group work (December 6-7): 22, 24, 28; first deadline December 9, final deadline December 14
      • Practice: 19, 20, 23, 25-27
    • WeBWorK Chapter 20 due December 13
  • Chapter 21 Parameters, Coordinates, and Integrals
    • Section 21.1 Coordinates and Parameterized Surfaces
      • With reading: 1-11 odd
      • WeBWorK Reading assignment due 2 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 2 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 2 pm December 7
      • Group work (December 7-8): 6, 12; first deadline December 10, final deadline December 15
      • Practice: 11, 10, 13-17 odd