Reading and Homework Assignments for MA 26100

This page documents what we do in class. It contains reading and homework assignments from our textbook, and links to illustrations, demonstration programs, or other sources of information.

• Wednesday, May 4.
  • The quiz today will be on Section 14.4
  • The final exam will be Monday, May 9, at 8:00pm. It will be on Chapters 11-14.5.
  • Here is a list of review problems for Chapter 14 (Sections 14.1 - 14.5) that you should look at as you study for the final exam.
    • Section 14.8 Chapter Review: Sample Test Problems, page 776: 1, 2, 3, 4(a), 5, 6, 9, 10, 12.
• Monday, May 2.
  • The quiz on Wednesday will be on Section 14.4
  • The final exam will be next Monday, May 9, at 8:00pm. It will be on Chapters 11-14.5.
  • Here is a list of review problems for Chapter 14 that you should look at as you study for the final exam.
    • Section 14.8 Chapter Review: Sample Test Problems, page 776: 1, 2, 3, 4(a), 5, 6, 9, 10, 12.
  • The homework problems for Section 14.5 are
    • Section 14.5: 1, 3, 5, 9, 11, 13.
  • If you would like to read some other explanations of Section 14.5, try looking at the following references.
    • Surface Integrals from Paul's CalcIII Notes
    • Surface Integrals of Vector Fields from Paul's CalcIII Notes
    • Surface Integrals from Multivariable calculus at University of Minnesota
• Wednesday, April 27.
  • The quiz today will be on Sections 14.2 and 14.3.
  • For Monday, read Section 14.5.
  • The homework problems for Section 14.4 are
    • Section 14.4: 1, 3, 5, 7, 9, 13, 19.
  • If you would like to read some other explanations of Section 14.4, try looking at the following references.
    • Green's Theorem from Paul's CalcIII Notes
    • Green's Theorem from Multivariable calculus at University of Minnesota
    • Section 4.3 from Vector Calculus, by Michael Corral
• Monday, April 25.
  • The quiz on Wednesday will be on Sections 14.2 and 14.3.
  • For Wednesday, read Section 14.4.
  • The homework problems for Section 14.3 are
    • Section 14.3: 1, 3, 5, 7, 13, 15, 17, 29.
  • If you would like to read some other explanations of Section 14.3, try looking at the following references.
    • Fundamental Theorem for Line Integrals from Paul's CalcIII Notes
    • Conservative Vector Fields from Paul's CalcIII Notes
    • Path-independent or conservative vector fields from Multivariable calculus at University of Minnesota
    • Section 4.2 from Vector Calculus, by Michael Corral
• Wednesday, April 20.
  • The quiz today will be on Sections 14.1 and 14.2.
  • For Monday, read Section 14.3.
• Monday, April 18.
  • The quiz on Wednesday will be on Sections 14.1 and 14.2.
  • For Wednesday, read Section 14.3.
  • The homework problems for Section 14.1 are
    • Section 14.1: 7, 11, 13, 15, 17, 19, 20, 25.
  • The homework problems for Section 14.2 are
    • Section 14.2: 1, 3, 7, 9, 11, 13, 17, 19, 21, 25, 26.
  • If you would like to read some other explanations of Section 14.1, try looking at the following references.
    • Vector Fields from Paul's CalcIII Notes
    • The idea of divergence and curl from Multivariable calculus at University of Minnesota
  • If you would like to read some other explanations of Section 14.2, try looking at the following references.
    • Line Integrals, Part 1 from Paul's CalcIII Notes
    • Line Integrals, Part 2 from Paul's CalcIII Notes
    • Line Integrals of Vector Fields from Paul's CalcIII Notes
    • Path integral of a scalar-valued function from Multivariable calculus at University of Minnesota
    • Section 4.1 from Vector Calculus, by Michael Corral
• Wednesday, April 13.
  • Today is the third midterm exam on Chapter 13.
  • For Monday, read Sections 14.1 and 14.2.
• Monday, April 11.
  • Remember that the third exam will be this Wednesday, April 13. It will be on Chapter 13, Sections 13.1 - 13.8.
  • Here is the list of review problems that you should look at as you study for Wednesday's exam.
    • Section 13.10 Chapter Review: Sample Test Problems, pages 730-731: 1, 3, 5, 7, 9, 11, 12, 13, 15, 16.
• Wednesday, April 6.
  • The quiz today will be on Sections 13.5 and 13.6.
  • For Monday, read Section 13.9.
  • The third exam will be next Wednesday, April 13. It will be on Chapter 13, Sections 13.1 - 13.8.
  • Here is a list of review problems that you should look at as you study for Wednesday's exam.
    • Section 13.10 Chapter Review: Sample Test Problems, pages 730-731: 1, 3, 5, 7, 9, 11, 12, 13, 15, 16.
  • The homework problems for Section 13.8 are
    • Section 13.8: 1, 3, 5, 7, 9, 15.
  • If you would like to read some other explanations of Section 13.8, try looking at the following references.
    • Triple Integrals in Cylindrical Coordinates from Paul's CalcIII Notes
    • Triple Integrals in Spherical Coordinates from Paul's CalcIII Notes
• Monday, April 4.
  • The quiz on Wednesday will be on Sections 13.5 and 13.6.
  • For Wednesday, read Section 13.8.
  • The homework problems for Section 13.6 are
    • Section 13.6: 1, 3, 5, 7, 9, 13.
  • The homework problems for Section 13.7 are
    • Section 13.7: 1, 3, 7, 9, 11, 13, 19, 21.
  • If you would like to read some other explanations of Section 13.6, try looking at the following reference.
    • Surface Area from Paul's CalcIII Notes
  • If you would like to read some other explanations of Section 13.7, try looking at the following references.
    • Triple Integrals from Paul's CalcIII Notes
    • Triple Integrals from Multivariable calculus at University of Minnesota
    • Section 3.3 from Vector Calculus, by Michael Corral
• Wednesday, March 30.
  • The quiz today will be on Sections 13.3 and 13.4.
  • For Monday, read Sections 13.6 and 13.7.
  • The homework problems for Section 13.5 are
    • Section 13.5: 1, 3, 5, 7, 9, 15, 19.
  • If you would like to read some other explanations of Section 13.5, try looking at the following reference.
    • Section 3.6 from Vector Calculus, by Michael Corral
• Monday, March 28.
  • The quiz on Wednesday will be on Sections 13.3 and 13.4.
  • For Wednesday, read Section 13.5.
  • The homework problems for Section 13.4 are
    • Section 13.4: 1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 23.
  • If you would like to read some other explanations of Section 13.4, try looking at the following references.
    • Double Integrals in Polar Coordinates from Paul's CalcIII Notes
    • Double Integrals in Rectangular and Polar Coordinates
• Wednesday, March 23.
  • The quiz today will be on Sections 13.1 and 13.2.
  • For next Monday, read Section 13.4.
  • The homework problems for Section 13.3 are
    • Section 13.3: 3, 5, 7, 11, 13, 15, 19, 25, 33, 35, 37, 43.
  • If you would like to read some other explanations of Section 13.3, try looking at the following references.
    • Double Integrals Over General Regions from Paul's CalcIII Notes
    • Section 3.2 from Vector Calculus, by Michael Corral
    • Change order of integration examples from Multivariable calculus at University of Minnesota
• Monday, March 21.
  • The quiz on Wednesday will be on Sections 13.1 and 13.2.
  • For Wednesday, read Section 13.3.
  • The homework problems for Section 13.1 are
    • Section 13.1: 1, 3, 5, 7, 8, 9, 15, 17, 19.
  • The homework problems for Section 13.2 are
    • Section 13.2: 1, 3, 5, 7, 9, 13, 17, 19, 23, 25.
  • If you would like to read some other explanations of Sections 13.1 and 13.2, try looking at the following references.
    • Double Integrals from Paul's CalcIII Notes
    • Iterated Integrals from Paul's CalcIII Notes
    • Double integrals as iterated integrals from Multivariable calculus at University of Minnesota
    • Section 3.1 from Vector Calculus, by Michael Corral
• Wednesday, March 9.
  • Today is the second midterm exam on Chapter 12.
  • For Monday after spring break, read Sections 13.1 and 13.2.
• Monday, March 7.
  • Remember that the second exam will be this Wednesday, March 9. It will be on Chapter 12, Sections 12.1, 12.2, 12.4, 12.5, 12.6, 12.7, and 12.8.
  • Here is a list of review problems that you should look at as you study for the exam.
    • Section 12.10 Chapter Review, page 675: 2, 3, 5, 7, 9, 13, 14, 15, 17, 18, 19, 21, 23, 25, 26.
  • The homework problems for Section 12.8 are
    • Section 12.8: 1, 3, 5, 7, 9.
  • If you would like to read some other explanations of Section 12.8, try looking at the following references.
    • Absolute Minimums and Maximums from Paul's CalcIII Notes
    • Maximum and Minimum Values from Multivariable Calculus at University of South Dakota
    • Section 2.5 from Vector Calculus, by Michael Corral
• Wednesday, March 2.
  • The quiz today will be on Sections 12.4 and 12.5.
  • The second exam will be next Wednesday, March 9. It will be on Chapter 12, Sections 12.1, 12.2, 12.4, 12.5, 12.6, 12.7, and 12.8.
  • Here is a list of review problems that you should look at as you study for Wednesday's exam.
    • Section 12.10 Chapter Review, page 675: 2, 3, 5, 7, 9, 13, 14, 15, 17, 18, 19, 21, 23, 25, 26.
  • For Monday, read Section 12.8.
  • The homework problems for Section 12.7 are
    • Section 12.7: 1, 3, 5, 7, 9, 11, 13, 16, 19, 26.
  • If you would like to read some other explanations of Section 12.7, try looking at the following references.
    • Tangent Planes and Linear Approximations from Paul's CalcIII Notes
    • Tangent Planes and Linear Approximations from Multivariable Calculus at University of South Dakota
• Monday, February 28.
  • The quiz on Wednesday will be on Sections 12.4 and 12.5.
  • For Wednesday, read Section 12.7.
  • The homework problems for Section 12.6 are
    • Section 12.6:1, 3, 5, 7, 9, 13, 15, 16.
  • If you would like to read some other explanations of Section 12.6, try looking at the following references.
    • Chain Rule from Paul's CalcIII Notes
    • Chain Rule from Multivariable Calculus at University of South Dakota
    • Section 13.5 from Calculus, by Gilbert Strang
• Wednesday, February 23.
  • The quiz today will be on Sections 12.1 and 12.2.
  • For Monday, read Section 12.6.
  • The homework problems for Section 12.5 are
    • Section 12.5: 1, 3, 5, 9, 11, 13, 15, 23, 25.
  • Here is an online program that lets you explore surfaces and their partial derivatives, tangent planes, and directional derivatives.
    • CalcPlot3D: Multivariable Calculus Exploration Applet
  • If you would like to read some other explanations of Section 12.5, try looking at the following references.
    • Directional Derivatives from Paul's CalcIII Notes
    • Directional Derivatives and the Gradient Vector from Multivariable Calculus at University of South Dakota
    • Section 2.4 from Vector Calculus, by Michael Corral
• Monday, February 21.
  • The quiz on Wednesday will be on Sections 12.1 and 12.2.
  • For Wednesday, read Section 12.5.
  • The homework problems for Section 12.4 are
    • Section 12.4:1, 3, 5, 9, 11, 13, 17.
  • If you would like to read some other explanations of Section 12.4, try looking at the following references.
    • Tangent Planes from Paul's CalcIII Notes
    • Tangent Planes from Multivariable Calculus at University of South Dakota
    • Section 2.3 from Vector Calculus, by Michael Corral
• Wednesday, February 16.
  • For Monday, read Section 12.4 (we shall skip Section 12.3).
  • The homework problems for Section 12.1 are
    • Section 12.1: 1, 5, 6, 7, 8, 9, 10, 17, 19, 23, 25, 26.
  • The homework problems for Section 12.2 are
    • Section 12.2: 1, 3, 5, 7, 9, 11, 13, 17, 19, 25, 27, 29, 37, 38, 39.
  • If you would like to read some other explanations of Section 12.1, try looking at the following references.
    • Functions of Several Variables from Paul's CalcIII Notes
    • Functions of Several Variables from Multivariable Calculus at University of South Dakota
  • If you would like to read some other explanations of Section 12.2, try looking at the following reference.
    • Partial Derivatives from Paul's CalcIII Notes
    • Interpretations of Partial Derivatives from Paul's CalcIII Notes
    • Higher Order Partial Derivatives from Paul's CalcIII Notes
    • Partial Derivatives from Multivariable Calculus at University of South Dakota
    • Section 2.2 from Vector Calculus, by Michael Corral
• Monday, February 14.
  • Today is the first midterm exam.
  • For Wednesday, read Sections 12.1 and 12.2.
• Wednesday, February 9.
  • There will be a quiz today on Section 11.6.
  • The first midterm exam will be next Monday, February 14.
  • We will cover Sections 11.8 and 11.9 today.
  • The homework problems for Section 11.9 are
    • Section 11.9: 3, 4, 5, 6, 9, 17, 19, 21, 23, 29.
  • Here is a list of review problems that you should look at as you study for Monday's exam.
    • Section 11.10 Chapter Review, pages 616-617: 1, 2, 3, 5, 6, 7c, 9, 11, 12a, 15,
      19, 23, 27, 31, 33, 35, 39, 40.
  • If you would like to read some other explanations of Section 11.9, try looking at the following references.
    • Cylindrical Coordinates from Paul's CalcIII Notes
    • Spherical Coordinates from Paul's CalcIII Notes
    • Section 1.7 from Vector Calculus, by Michael Corral
• Monday, February 7.
  • There will be a quiz today on Sections 11.4 & 11.5.
  • For Wednesday, read Section 11.9.
  • There will be a quiz on Wednesday on Section 11.6
  • The homework problems for Section 11.6 are
    • Section 11.6: 1, 3, 5, 9, 13, 17, 19, 23, 25.
  • The homework problems for Section 11.8 are
    • Section 11.8: 1, 3, 5, 9, 11, 15, 17, 18, 19.
  • If you would like to read some other explanations of Section 11.6, try looking at the following references.
    • Equations of Lines from Paul's CalcIII Notes
    • Section 1.5 from Vector Calculus, by Michael Corral
  • If you would like to read some other explanations of Section 11.8, try looking at the following references.
    • Quadric Surfaces from Paul's CalcIII Notes
    • Section 1.6 from Vector Calculus, by Michael Corral
    • Interactive Gallery of Quadric Surfaces
• Wednesday, February 2.
  • No class today because of the weather.
  • The quiz on Sections 11.4 & 11.5 will be on Monday.
  • We will cover Sections 11.6 and 11.8 on Monday.
  • The first midterm exam will be rescheduled for Monday, February 14.
• Monday, January 31.
  • For Wednesday, read Section 11.8 (skip Section 11.7).
  • The quiz on Wednesday will be on Sections 11.4-11.5
• Wednesday, January 26.
  • For next Monday, read Section 11.6.
  • The homework problems for Section 11.5 are
    • Section 11.5: 9, 13, 14, 15, 17, 19, 27, 33, 35, 39, 43.
  • If you would like to read some other explanations of Section 11.5, try looking at the following references.
    • Parametric Equations and Curves from Paul's CalcII Notes
    • Vector Functions from Paul's CalcIII Notes
    • Calculus with Vector Functions from Paul's CalcIII Notes
    • Arc Length with Vector Functions from Paul's CalcIII Notes
    • Sections 1.8 and 1.9 from Vector Calculus, by Michael Corral
    • Section 12.1 from Calculus, by Gilbert Strang
• Monday, January 24.
  • The quiz on Wednesday will be on Sections 11.1-11.3
  • For Wednesday, read Section 11.5 (pages 581-587 and skip the optional section on Kepler's Laws).
  • In order to really understand Section 11.5, you will need to review a few previous sections from the textbook; Section 6.4 (pages 342-346), Section 10.4 (pages 532-536), and Section 11.1 (pages 560-561).
  • The homework problems for Section 11.3 are
    • Section 11.3: 1, 5, 11, 13, 14, 17, 19, 23, 25, 43, 44, 53.
  • The homework problems for Section 11.4 are
    • Section 11.4: 1, 3, 5, 7, 9, 11, 13, 15, 23, 25, 27.
  • Here is a summary of all the vector algebra rules from Sections 11.2-11.4.
    • VectorAlgebra.pdf
  • If you would like to read some other explanations of Sections 11.3 and 11.4 from our textbook, try looking at the following references.
    • Equations of Planes from Paul's CalcIII Notes
    • Sections 1.3, 1.4, and 1.5 from Vector Calculus, by Michael Corral
    • Sections 11.2 & 11.3 from Calculus, by Gilbert Strang
• Wednesday, January 19.
  • For next Monday, read Sections 11.3 and 11.4.
  • Today we will cover Sections 11.1 and 11.2.
  • The homework problems for Section 11.1 are
    • Section 11.1: 1, 3, 5, 8, 9, 10, 11, 13, 15, 17, 37, 39.
  • The homework problems for Section 11.2 are
    • Section 11.2: 1, 5, 6, 9, 15, 17, 19.
  • If you would like to read some other explanations of vectors, try looking at the following references.
    • The 3-D Coordinate System from Paul's CalcIII Notes
    • Vectors from Paul's CalcII Notes
    • Sections 1.1 and 1.2 from Vector Calculus, by Michael Corral
    • Section 11.1 from Calculus, by Gilbert Strang