Spring 2024

Math 2530-01 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.
  • "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. But doing these problems will prepare you for the section quizzes.
  • You must also do the assignments posted in WeBWorK (Reading and Homework). These assignments contribute to your "Online Homework" grade.
    Assigned Work
  • Due on Monday January 22:
    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://blythrd.me/slu/, click on "Spring 2024 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 January 19
  • Chapter 12 Functions of Several Variables
    • Section 12.1 Functions of Two Variables
      • With reading: 1-25 odd
      • WeBWorK Reading assignment due 9 am January 17
      • Practice: 26, 27, 29, 31, 41, 43, 45 (write an equation and describe the set in words), 49, 51
      • Section quiz: January 19
    • Section 12.2 Graphs and Surfaces
      • With reading: 1-7, 9-17 odd, 32
      • WeBWorK Reading assignment due 9 am January 17
      • Practice: 19, 21, 27, 29, 31, 35, 39, 41
      • Section quiz: January 22
    • Section 12.3 Contour Diagrams
      • With reading: 1, 4, 11-13, 15, 18, 21
      • WeBWorK Reading assignment due 9 am January 19
      • Practice: 18, 25, 27, 28, 29, 31, 33, 37, 46, 49, 53, 54, 57
      • Section quiz: January 23
    • WeBWorK Sections 12.1-12.3 due January 23
    • Section 12.4 Linear Functions
      • With reading: 1-15 odd
      • WeBWorK Reading assignment due 9 am January 22
      • Practice: 19, 25, 26, 35, 37, 39, 41, 43
      • Section quiz: January 26
    • Section 12.5 Functions of Three Variables
      • With reading: 1-3, 5, 7-11, 13, 15
      • WeBWorK Reading assignment due 9 am January 24
      • Practice: 17, 19, 21, 23, 25, 27-29, 31, 35, 39
      • Section quiz: January 29
    • Section 12.6 Limits and Continuity
      • With reading: 1-15
      • WeBWorK Reading assignment due 9 am January 26
      • Practice: 17, 19, 21, 23, 27
      • Section quiz: January 30
    • WeBWorK Sections 12.4-12.6 due January 31
  • 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 9 am January 29
      • Practice: 31-37 odd, 38, 39
      • Section quiz: January 31
    • Section 13.2 Vectors in General
      • With reading: 1-10
      • WeBWorK Reading assignment due 9 am January 30
      • Practice: 11, 16, 17-21 odd, 24, 27, 37
      • Section quiz: February 2
    • Section 13.3 The Dot Product
      • With reading: 1-5, 7-33 odd
      • WeBWorK Reading assignment due 9 am January 31
      • Practice: 39, 43, 45, 49-55 odd, 59, 63, 67, 73, 79, 84 (assume in R3)
      • Section quiz: February 6
    • Section 13.4 The Cross Product
      • With reading: 1-15 odd, 19, 21
      • WeBWorK Reading assignment due 9 am February 5
      • Practice: 27-31 odd, 35-37, 41-45 odd, 52, 53
      • Section quiz: February 12
    • WeBWorK Chapter 13 due February 13
  • 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 9 am February 6
      • Practice: 21, 25, 29, 30, 35, 36, 40, 41
      • Section quiz: February 13
    • Section 14.2 Computing Partial Derivatives Algebraically
      • With reading: 1-39 odd
      • WeBWorK Reading assignment due 9 am February 12
      • Practice: 44, 45, 47-49, 51-53, 55, 57, 58
      • Section quiz: February 14
    • Section 14.3 Local Linearity and the Differential
      • With reading: 1-23 odd
      • WeBWorK Reading assignment due 9 am February 13
      • Practice: 25, 31, 35, 40, 41, 43, 46, 47, 49, 51
      • Section quiz: February 16
    • WeBWorK Sections 14.1-14.3 due February 20
    • Section 14.4 Gradients and Directional Derivatives in the Plane
      • With reading: 1-35 odd, 39, 43, 47-55 odd
      • WeBWorK Reading assignment due 9 am February 14
      • Practice: 57, 63, 65, 69, 75-81 odd, 85, 91-95 odd, 98, 99
      • Section quiz: February 19
    • Section 14.5 Gradients and Directional Derivatives in Space
      • With reading: 1-25 odd, 29-33 odd, 37-41 odd
      • WeBWorK Reading assignment due 9 am February 16
      • Practice: 45, 47, 51, 55, 57, 61-65 odd, 69-73 odd
      • Section quiz: February 21
    • Section 14.6 The Chain Rule
      • With reading: 1-15 odd, 29
      • WeBWorK Reading assignment due 9 am February 19
      • Practice: 17, 19, 21, 23, 31, 33, 34, (39, 40; for students of physical chemistry)
      • Section quiz: February 23
    • WeBWorK Sections 14.4-14.6 due February 27
    • Section 14.7 Second-Order Partial Derivatives
      • With reading: 1-21 odd, 22-33
      • WeBWorK Reading assignment due 9 am February 21
      • Practice: 41-47 odd, 51, 53, 64, 65
      • Section quiz: February 26
    • Section 14.8 Differentiability
      • With reading: 1-10
      • WeBWorK Reading assignment due 9 am February 23
      • Practice: 11, 13, 17, 18, 19
      • Section quiz: February 27
    • WeBWorK Sections 14.7-14.8 due March 1
  • 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 9 am February 26
      • Practice: 29, 33, 34-37, 39, 47, 49, 51
      • Section quiz: February 28
    • Section 15.2 Optimization
      • With reading: 1-3, 5-21 odd
      • WeBWorK Reading assignment due 9 am February 27
      • Practice: 23-31 odd, 35-41 odd
      • Section quiz: March 4
    • WeBWorK Sections 15.1-15.2 due March 5
    • Section 15.3 Constrained Optimization: Lagrange Multipliers
      • With reading: 1, 3, 7, 8, 11, 12, 14, 17, 19
      • WeBWorK Reading assignment due 9 am February 28
      • Practice: 24-26, 35, 37, 38, 47
      • Section quiz: March 5
    • WeBWorK Section 15.3 due March 6
  • 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 9 am March 4
      • Practice: 8, 9, 11, 14, 15, 17, 19
      • Section quiz: March 6
    • Section 16.2 Iterated Integrals
      • With reading: 1-25 odd
      • WeBWorK Reading assignment due 9 am March 5
      • Practice: 29, 30, 31-49 odd, 55, 59, 63-69 odd, 75
      • Section quiz: March 8
    • WeBWorK Sections 16.1-16.2 due March 18
    • Section 16.3 Triple Integrals
      • With reading: 1, 5-11 odd, 15
      • WeBWorK Reading assignment due 9 am March 6
      • Practice: 17, 21, 25, 27, 35, 39, 41, 45-49 odd, 51-53, 55, 57, 58, 62, 75
      • Section quiz: March 20
    • Section 16.4 Double Integrals in Polar Coordinates
      • With reading: 1-8, 9-15 odd
      • WeBWorK Reading assignment due 9 am March 18
      • Practice: 19-23 odd, 27, 30, 31, 35, 36, 39, 38
      • Section quiz: March 22
    • WeBWorK Sections 16.3-16.4 due March 26
    • Section 16.5 Integrals in Cylindrical and Spherical Coordinates
      • With reading: 1-19 odd
      • WeBWorK Reading assignment due 9 am March 20
      • Practice: 21-43 odd, 51, 57, 61, 63, 65
      • Section quiz: March 26
    • WeBWorK Section 16.5 due April 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 9 am March 25
      • Practice: 47, 49, 55-59 odd, 67-71 odd, 75, 77, 85, 87, 95, 96
      • Section quiz: March 27
    • Section 17.2 Motion, Velocity and Acceleration
      • With reading: 1-7 odd, 11-21 odd
      • WeBWorK Reading assignment due 9 am March 26
      • Practice: 23-33 odd, 37, 41, 46, 48
      • Section quiz: April 2
    • Section 17.3 Vector Fields
      • With reading: 1-6, 7-11 odd, 15, 17, 20-22
      • WeBWorK Reading assignment due 9 am March 27
      • Practice: 23, 27-35 odd, 40
      • Section quiz: April 5
    • Section 17.4 The Flow of a Vector Field
      • With reading: 1-9 odd
      • WeBWorK Reading assignment due 9 am April 2
      • Practice: 11, 13, 15, 19, 23
      • Section quiz: April 8
    • WeBWorK Chapter 17 due April 10
  • Chapter 18 Line Integrals
    • Section 18.1 The Idea of a Line Integral
      • With reading: 1-25 odd
      • WeBWorK Reading assignment due 9 am April 5
      • Practice: 29, 33, 34, 37, 43, 47-59 odd
      • Section quiz: April 9
    • 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 9 am April 8
      • Practice: 35-43 odd
      • Section quiz: April 10
    • WeBWorK Sections 18.1-18.2 due April 15
    • Section 18.3 Gradient Fields and Path Independent Fields
      • With reading: 1, 3-12, 13-25 odd
      • WeBWorK Reading assignment due 9 am April 9
      • Practice: 27-33 odd, 37, 41, 42, 45, 49, 50, 53, 52, 56, 59
      • Section quiz: April 12
    • Section 18.4 Path-Dependent Vector Fields and Green's Theorem
      • With reading: 1-17 odd
      • WeBWorK Reading assignment due 9 am April 12
      • Practice: 19-27 odd, 28, 31, 34-37, 39, 41, 45
      • Section quiz: April 16
    • WeBWorK Sections 18.3-18.4 due April 17
  • 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 9 am April 15
      • Practice: 41, 45-47, 49, 53, 58, 59, 61, 69, 71
      • Section quiz: April 17
    • Section 21.1 Coordinates and Parameterized Surfaces
      • With reading: 1-11 odd
      • WeBWorK Reading assignment due 9 am April 16
      • Practice: 15-25 odd, 31, 33, 37-41 odd
      • Section quiz: April 19
    • Section 21.3 Flux Integrals Over Parameterized Surfaces
      • With reading: 1-9 odd
      • WeBWorK Reading assignment due 9 am April 17
      • Practice: 11, 10, 13-17 odd
      • Section quiz: April 22
    • WeBWorK Sections 21.1, 21.3 due April 23
    • 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 9 am April 19
      • Practice: 39, 45, 46, 53, 54, 55, 57, 59, 64, 65
      • Section quiz: April 24
    • Section 19.3 The Divergence of a Vector Field
      • With reading: 1-9 odd, 12, 13
      • WeBWorK Reading assignment due 9 am April 23
      • Practice: 19, 21, 25, 29, 30, 32, 33, 39, 43
      • Section quiz: April 29
    • Section 19.4 The Divergence Theorem
      • With reading: 1-9 odd
      • WeBWorK Reading assignment due 9 am April 24
      • Practice: 11, 15, 19, 21-29 odd, 33-41 odd
      • Section quiz: April 30
    • WeBWorK Chapter 19 due May 1
  • 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 9 am April 29
      • Practice: 19, 23, 26, 27-33 odd
      • Section quiz: May 1
    • Section 20.2 Stokes' Theorem
      • With reading: 1-15 odd
      • WeBWorK Reading assignment due 9 am April 30
      • Practice: 17-23 odd, 27, 29, 35, 38
      • Section quiz: May 3
    • Section 20.3 The Three Fundamental Theorems
      • With reading: 1-11 odd, 15, 17
      • WeBWorK Reading assignment due 9 am May 1
      • Practice: 19, 20, 23, 25-27
      • Section quiz: May 6
    • WeBWorK Chapter 20 due May 7