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.

• Tuesday, December 4.
  • The quiz Thursday will be on Sections 14.1 and 14.2.
  • The final exam will be next Tuesday, December 11, at 8:00pm. It will be on Chapters 11 - 14.4.
  • Here is a review sheet of what we have covered since the last exam that you should know for the final exam.
    • MA26100-Final-Review.pdf
  • Here, in one handy place, are all the previous review sheets.
    • MA26100-Exam3-Review.pdf
    • MA26100-Exam2-Review.pdf
    • MA26100-Exam1-Review.pdf
    • VectorAlgebra.pdf
  • Here is a list of review problems for Chapter 14 (Sections 14.1 - 14.4) 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.
  • 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
• Thursday, November 29.
  • The quiz today is on Sections 11.9 and 13.8.
  • For Tuesday, 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
• Tuesday, November 27.
  • The quiz on Thursday will be on Sections 11.9 and 13.8.
  • For Thursday, 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
• Tuesday, November 20.
  • For next Tuesday, read Sections 14.1 and 14.2.
  • 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
    • Triple Integrals in Spherical and Cylindrical Coordinates from Multivariable calculus at University of Minnesota
    • Volume Element in Spherical and Cylindrical Coordinates from Multivariable Calculus: Early Integration
• Thursday, November 15.
  • Today is the third midterm exam.
  • For next Tuesday, read Section 13.8.
• Tuesday, November 13.
  • The third exam will be this Thursday, November 15. It will be on Chapter 13, Sections 13.1 - 13.7.
  • Here is a review sheet of what you should know for the third exam.
    • MA26100-Exam3-Review.pdf
  • Here is a list of review problems that you should look at as you study for Thursday's exam.
    • Section 13.10 Chapter Review: Sample Test Problems, pages 730-731: 1, 3, 5, 7, 9, 11, 12, 13, 15.
  • The homework problems for Section 11.9 are
    • Section 11.9: 3, 4, 5, 6, 9, 17, 19, 21, 23, 29.
  • 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
    • Curvilinear Coordinates from Multivariable Calculus: Early Integration
• Thursday, November 8.
  • The quiz today will be on Sections 13.5 and 13.6.
  • For Tuesday, read Section 11.9.
  • The third exam will be next Thursday, November 15. It will be on Chapter 13, Sections 13.1 - 13.7.
  • Here is a review sheet of what you should know for the third exam.
    • MA26100-Exam3-Review.pdf
  • Here is a list of review problems that you should look at as you study for Thursday's exam.
    • Section 13.10 Chapter Review: Sample Test Problems, pages 730-731: 1, 3, 5, 7, 9, 11, 12, 13, 15.
  • 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 13.7, 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
• Tuesday, November 6.
  • The third midterm exam will be postponed one week to Thursday, November 15.
  • The quiz this Thursday will be on Sections 13.5 and 13.6.
  • For Thursday, read Section 13.7.
  • The homework problems for Section 13.6 are
    • Section 13.6: 1, 3, 5, 7, 9, 13.
  • 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
• Thursday, November 1.
  • The third midterm exam will be postponed one week to Thursday, November 15.
  • The quiz today is on Sections 13.3 and 13.4.
  • For Tuesday, read Sections 13.6.
  • 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
• Tuesday, October 30.
  • The quiz Thursday will be on Sections 13.3 and 13.4.
  • Today we will finish Section 13.4.
  • For Thursday, read Section 13.5.
• Thursday, October 25.
  • The quiz today is on Sections 13.1 and 13.2.
  • When you read Section and 13.4 and work on the homework problems, you may need to go back and review the material on polar coordinates from Sections 10.5, 10.6, and 10.7.
  • 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
    • Polar Coordinates from Math Insight.org
    • Polar Coordinates from Paul's CalcII Notes
• Tuesday, October 23.
  • The quiz Thursday will be on Sections 13.1 and 13.2.
  • For Thursday, read Section 13.4 (and also review Sections 10.5, 10.6, and 10.7).
  • 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
    • Change order of integration examples from Multivariable calculus at University of Minnesota
    • Double integrals where one integration order is easier from Multivariable calculus at University of Minnesota
    • Section 3.2 from Vector Calculus, by Michael Corral
• Thursday, October 18.
  • For Tuesday, 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
• Tuesday, October 16.
  • No class today because of Fall Break
  • For Thursday, read Sections 13.1 and 13.2.
• Thursday, October 11.
  • Today is the second midterm exam.
  • We do not have class next Tuesday because of the Fall Break
  • For next Thursday, read Sections 13.1 and 13.2.
• Thursday, October 4.
  • The quiz today is on Sections 12.5 and 12.6.
  • The second exam will be next Thursday, October 11. 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 review sheet of what you should know for the exam.
    • MA26100-Exam2-Review.pdf
  • 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
• Tuesday, October 2.
  • The quiz on Thursday will be on Sections 12.5 and 12.6.
  • For Thursday, 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
• Thursday, September 27.
  • The quiz today is on Section 12.4.
  • For Tuesday, 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
• Tuesday, September 25.
  • The quiz on Thursday will be on Section 12.4.
  • For Thursday, 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 and the Gradient Vector from Multivariable Calculus at University of South Dakota
    • Directional Derivatives from Paul's CalcIII Notes
    • Gradient Vector and Tangent Planes from Paul's CalcIII Notes
    • Section 2.4 from Vector Calculus, by Michael Corral
• Thursday, September 20.
  • The quiz today will be on Sections 12.1 and 12.2.
  • For Tuesday, 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 Multivariable Calculus at University of South Dakota
    • Tangent Planes from Paul's CalcIII Notes
    • Section 2.3 from Vector Calculus, by Michael Corral
• Tuesday, September 18.
  • For Thursday, 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 Multivariable Calculus at University of South Dakota
    • Functions of Several Variables from Paul's CalcIII Notes
  • If you would like to read some other explanations of Section 12.2, try looking at the following reference.
    • Partial Derivatives from Multivariable Calculus at University of South Dakota
    • 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
    • Section 2.2 from Vector Calculus, by Michael Corral
• Thursday, September 13.
  • Today is the first midterm exam.
  • For next Tuesday, read Sections 12.1 and 12.2.
• Tuesday, September 11.
  • Remember that the first midterm exam is on Thursday.
  • Here is a review sheet of what you should know for the exam.
    • MA26100-Exam1-Review.pdf
  • Here is the list of review problems that you should look at as you study for the exam, which will be on Chapter 11, Sections 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.8.
    • Section 11.10 Chapter Review, pages 616-617: 1, 2, 3, 5, 6, 7c, 9, 11, 12a, 15,
      19, 23, 27, 31, 33, 35, 37.
  • 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 11.8, 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
• Thursday, September 6.
  • There will be a quiz today on Section 11.5.
  • For Tuesday, read Section 11.8 (and skip Section 11.7).
  • Here is a list of review problems that you should look at as you study for next Thursday's exam, which will be on Chapter 11, Sections 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.8.
    • Section 11.10 Chapter Review, pages 616-617: 1, 2, 3, 5, 6, 7c, 9, 11, 12a, 15,
      19, 23, 27, 31, 33, 35, 37.
  • The homework problems for Section 11.6 are
    • Section 11.6: 1, 3, 5, 9, 13, 17, 19, 23, 25.
  • 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
• Tuesday, September 4.
  • For Thursday, read Section 11.6.
  • There will be a quiz on Thursday on Section 11.5
• Thursday, August 30.
  • The quiz today is on Sections 11.3 and 11.4.
  • For next Tuesday, 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
• Tuesday, August 28.
  • For Thursday, 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).
  • Here is a summary of all the vector algebra rules from Sections 11.2, 11.3, and 11.4.
    • VectorAlgebra.pdf
  • The homework problems for Section 11.4 are
    • Section 11.4: 1, 3, 5, 7, 9, 11, 13, 15, 23, 25, 27.
  • 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
• Thursday, August 23.
  • The quiz today is on Sections 11.1 and 11.2
  • For Tuesday, read Section 11.4.
  • The homework problems for Section 11.3 are
    • Section 11.3: 5, 11, 13, 14, 17, 19, 23, 25, 43, 44, 65, 71.
  • 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
• Tuesday, August 21.
  • For Thursday, read Section 11.3.
  • 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.
    • Three-Dimensional Coordinate Systems from University of South Dakota
    • 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