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 1.
  • Please take the time to respond to the following course evaluation survey. This is your chance to provide (anonymous) feedback about this course. The survey will be available only until Friday.
    • IDEA Student Ratings of Instruction
  • The quiz today is on Sections 14.1 and 14.2.
  • The final exam will be Monday, December 11, at 8:00pm. It will be on Chapters 11 - 14.2.
  • Study for the exam by making sure that you can solve all the problems from the three midterm exams and the 12 quizes.
  • Here is are review sheets of what we have covered this semester, including what we covered since the last exam that you should know for the final exam.
    • MA26100-Chapter14-Review.pdf
    • MA26100-Chapter13-Review.pdf
    • MA26100-Chapter12-Review.pdf
    • MA26100-Chapter11-Review.pdf
    • VectorAlgebra.pdf
  • Here is a list of review problems for Chapter 14 (Sections 14.1 - 14.2) that you should look at as you study for the final exam, plus the review problems previously assigned from the other chapters.
    • Section 14.8 Chapter Review: page 776: 1, 5.
    • Section 13.10 Chapter Review: pages 730-731: 1, 3, 5, 7, 9, 11, 12, 13, 15, 16.
    • Section 12.10 Chapter Review, page 675: 2, 3, 5, 7, 9, 13, 14, 15, 16, 17, 18, 19, 21, 23, 25.
    • 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.
• Monday, April 29.
  • The quiz Wednesday will be on Sections 14.1 and 14.2.
  • 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 24.
  • The quiz today is on Sections 11.9 and 13.8.
  • For Monday, 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
• Monday, April 22.
  • The quiz on Wednesday will be on Sections 11.9 and 13.8.
  • For Wednesday, read Sections 14.1 and 14.2.
  • The homework problems for Section 11.9 are
    • Section 11.9: 3, 4, 5, 6, 9, 17, 19, 21, 23, 29.
  • 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 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
  • 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
• Wednesday, April 17.
  • The third midterm exam is today.
  • For Monday, read Section 11.9.
• Wednesday, April 10.
  • The quiz today will be on Sections 13.4 and 13.5.
  • For Monday, read Section 11.9.
  • The third exam will be next Wednesday, April 17. It will be on Section 12.8 and 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 Wednesday'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
• Monday, April 8.
  • The third midterm exam will be postponed one week to Wednesday, April 17.
  • The quiz this Wednesday will be on Sections 13.4 and 13.5.
  • For Wednesday, 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
• Wednesday, April 3.
  • The third midterm exam will be postponed one week to Wednesday, April 17.
  • The quiz today is on Section 13.3.
  • For Monday, read Section 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
• Monday, April 1.
  • The quiz Wednesday is on Section 13.3.
  • For Wednesday, read Section 13.5.
  • When you read Section 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
• Wednesday, March 27.
  • The quiz today will be on Sections 13.1 and 13.2.
  • For Monday, 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
• Monday, March 25.
  • The quiz Wednesday will be on Sections 13.1 and 13.2.
  • For Wednesday, read read Section 13.3.
• Wednesday, March 20.
  • Please remember that everyone is welcome to attend this course's S.I. sessions. There are two session each week dedicated to solving problems and answering questions. The two session are:
    • Monday from 5:00 PM to 6:20 PM in GYTE 109
    • Wednesday from 2:00 PM to 3:20 PM in GYTE 211
  • For Monday, 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
• Monday, March 18.
  • The quiz Wedneday will be on Section 12.8.
  • For Wedneday, read Sections 13.1 and 13.2.
  • 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
    • Introduction to local extrema of functions of two variables from University of Minnesota
    • Section 2.5 from Vector Calculus, by Michael Corral
• Wednesday, March 6.
  • Second midterm exam is today.
• Monday, March 4.
  • The second midterm exam will be this Wednesday. So below for review material.
  • 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
    • Gradient Vector and Tangent Planes from Paul's CalcIII Notes
    • Tangent Planes and Linear Approximations from Multivariable Calculus at University of South Dakota
• Wednesday, February 27.
  • The quiz today is on Section 12.4.
  • For Monday, read Section 12.7.
  • The second exam will be next Wednesday, March 6. It will be on Section 11.8, and Chapter 12, Sections 12.1, 12.2, 12.4, 12.5, 12.6, and 12.7.
  • 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, 16, 17, 18, 19, 21, 23, 25.
  • 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
• Monday, February 25.
  • The quiz on Wednesday will be on Section 12.4.
  • For Wednesday, read Section 12.6.
  • The homework problems for Section 12.5 are
    • Section 12.5: 1, 3, 5, 9, 11, 13, 15, 23, 25.
  • 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
• Wednesday, February 20.
  • The quiz today is on Sections 12.1 and 12.2.
  • For Monday, 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
• Monday, February 18.
  • The quiz Wednesday will be on Sections 12.1 and 12.2.
  • For Wednesday, read Section 12.4 (we shall skip Section 12.3).
  • Here are three fairly nice online programs for graphing function z=f(x,y) along with their level sets (horizontal cross sections) and partial derivatives (vertical cross sections).
    • Functions of Two Variables from M.I.T.
    • GraphyCalc - 3d Graphing Calculator
    • CalcPlot3D: Multivariable Calculus Exploration Applet
• Wednesday, February 13.
  • The quiz today is on Section 11.8
  • For Monday, read Section 12.4 (we shall skip Section 12.3).
  • 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 12.2, 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
    • Introduction to partial derivatives from University of Minnesota
    • Higher Order Partial Derivatives from Paul's CalcIII Notes
    • Section 2.2 from Vector Calculus, by Michael Corral
• Monday, February 11.
  • The quiz Wednesday will be on Section 11.8
  • For Wednesday, read Section 12.2.
  • The homework problems for Section 11.8 are
    • Section 11.8: 1, 3, 5, 9, 11, 15, 17, 18, 19.
  • The homework problems for Section 12.1 are
    • Section 12.1: 1, 5, 6, 7, 8, 9, 10, 17, 19, 23, 25, 26.
  • 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
    • Quadric surfaces from University of Minnesota
    • Section 1.6 from Vector Calculus, by Michael Corral
    • Interactive Gallery of Quadric Surfaces
  • 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
    • Surfaces as graphs of functions from University of Minnesota
    • Functions of Several Variables from Paul's CalcIII Notes
• Wednesday, February 6.
  • First midterm exam is today.
  • For Monday, read Sections 11.8 (and skip Section 11.7) and 12.1.
• Monday, February 4.
  • Remember that the first midterm exam is on Wednesday.
  • Here is a review sheet of what you should know for the exam.
    • MA26100-Exam1-Review.pdf
  • Print and review this summary of all the vector algebra rules from Sections 11.2, 11.3, and 11.4.
    • VectorAlgebra.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.
    • 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.
• Wednesday, January 30.
  • The quiz today is on Sections 11.3 and 11.4.
  • There will be S.I. sessions today and Thursday from 2:00-3:20pm in GYTE 211. Everyone is welcome to attend.
  • Here is a list of review problems that you should look at as you study for next Wednesday's exam, which will be on Chapter 11, Sections 11.1, 11.2, 11.3, 11.4, 11.5, 11.6.
    • 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.
  • Print and review this summary of all the vector algebra rules from Sections 11.2, 11.3, and 11.4.
    • VectorAlgebra.pdf
  • 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.
    • Parametrization of a line from University of Minnesota
    • Equations of Lines from Paul's CalcIII Notes
    • Section 1.5 from Vector Calculus, by Michael Corral
• Monday, January 28.
  • The quiz Wednesday will be on Sections 11.3 (again) and 11.4
  • For Wednesday, 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.
    • An introduction to parametrized curves from University of Minnesota
    • 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
• Wednesday, January 23.
  • The quiz today is on Section 11.3
  • There will be an S.I. session today from 2pm-3pm in GYTE 106. Everyone is welcome to attend. A regular time for the weekly S.I. sessions still needs to be established. Be prepared to help choose a time that fits into your schedule.
  • For Monday, 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 Section 11.4 from our textbook, try looking at the following references.
    • The Cross Product from University of Minnesota
    • The Cross Product from University of South Dakota
    • Cross Product from Paul's CalcII Notes
    • Sections 1.4, and 1.5 from Vector Calculus, by Michael Corral
    • Section 11.3 from Calculus, by Gilbert Strang
• Monday, January 21.
  • No class today.
• Wednesday, January 16.
  • The quiz today is on Sections 11.1 and 11.2
  • For next Wednesday, read Section 11.4.
  • The second quiz will be next Wednesday on Section 11.3
  • 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 Section 11.3 from our textbook, try looking at the following references.
    • The Dot Product from University of Minnesota
    • The Dot Product from University of South Dakota
    • Vectors from Paul's CalcII Notes
    • Equations of Planes from Paul's CalcIII Notes
    • Section 1.3 from Vector Calculus, by Michael Corral
    • Section 11.2 from Calculus, by Gilbert Strang
• Monday, January 14.
  • For Wednesday, read Section 11.3.
  • Today we will cover Sections 11.1 and 11.2.
  • The first quiz will be Wednesday on 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
    • Maths Help...working with vectors
    • Sections 1.1 and 1.2 from Vector Calculus, by Michael Corral