Math 13 - Spring 2010

Dartmouth College


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The latest homework will always appear on top.

The homework consists of the following:

  • Daily reading homework due at the beginning of class.
  • Daily practice problems on WeBWork.
  • Weekly written assignments as indicated below.

    You may find this Java graphing applet handy.



    May 28 - Homework 26:

    Class Notes: Stokes' and Gauss Theorems

    Read Section 7.3

    WeBWork assignment (Due: Wednesday June 2, by 5:00 PM)

    Weekly Written Homework: (Will not be collected )
       Chapter 7: 7.2 # 2,6, 14, 18     7.3 # 4,8,12,16

    May 26 - Homework 25:

    Class Notes: Stokes' and Gauss Theorems

    Reading Assignment 20 (Due: May 28 at the beginning of class)
    Read Section 7.2

    WeBWork assignment (Due: Friday May 28, by 5:00 PM)


    May 24 - Homework 24:

    Class Notes: Scalar and Vector Surface Integrals

    Read Section 7.2

    WeBWork assignment (Due: Friday May 28, by 5:00 PM)

    Weekly Written Homework: (Due: Wednesday, May 26 )
       Chapter 6: 6.3 # 4,12,16, 20  
       Chapter 7: 7.1 # 4, 20  

    May 21 - Homework 23:

    Class Notes: Scalar Surface Integral

    Reading Assignment 19 (Due: May 24 at the beginning of class)
    Read Section 7.1

    WeBWork assignment (Due: Monday May 24, by 5:00 PM)


    May 19 - Homework 22:

    Class Notes: Surface Area

    Reading Assignment 18 (Due: May 21 at the beginning of class)
    Read Sections 6.3 and 7.1

    WeBWork assignment (Due: Friday May 21, by 5:00 PM)

    Weekly Written Homework: (Due: Wednesday, May 26 )
       Chapter 6: 6.3 # 4,12,16, 20  
       Chapter 7: 7.1 # 4, 20  

    May 17 - Homework 21:

    Class Notes: Path Independence and Conservative Vector Fields

    Read Sections 6.3

    Solutions to Integration Exercises (X-hour)

    WeBWork assignment (Due: Friday May 21, by 5:00 PM)


    May 14 - Homework 20:

    Class Notes: Path Independence and Conservative Vector Fields

    Reading Assignment 17 (Due: May 14 at the beginning of class)
    Read Sections 6.2

    WeBWork assignment (Due: Friday May 14, by 5:00 PM)

    Weekly Written Homework: (Due: MONDAY, May 17 by 4:30 PM in my office)
       Chapter 5: 5.4 # 18   5.5 # 24  
       Chapter 6: 6.1 #22, 6.2 # 6, 8, 14
    May 12 - Homework 19:

    Class Notes: Green's Theorem & Divergence Theorem

    Reading Assignment 16 (Due: May 14 at the beginning of class)
    Read Sections 6.2

    WeBWork assignment (Due: Friday May 14, by 5:00 PM)


    May 10 - Homework 18:

    Class Notes: Green's Theorem

    Reading Assignment 15 (Due: May 12 at the beginning of class)
    Read Sections 6.1 and 6.2

    WeBWork assignment (Due: Monday May 10, by 5:00 PM)

    Weekly Written Homework: (Due: May 12 at the beginning of class)
       Chapter 5: 5.4 # 12   5.5 # 18     5.6 # 4, 12  
       Chapter 6: 6.1 #12, 14
    May 7 - Homework 17:

    Class Notes: Line Integrals

    Reading Assignment 14 (Due: May 10 at the beginning of class)
    Read Sections 5.5 and 5.6

    WeBWork assignment (Due: Monday May 10, by 5:00 PM)

    Weekly Written Homework: (Due: May 12 at the beginning of class)
       Chapter 5: 5.4 # 12   5.5 # 18     5.6 # 4, 12  
       Chapter 6: 6.1 #12, 14
    May 5 - Homework 16:

    Class Notes: Line Integrals

    Reading Assignment 13 (Due: May 7 at the beginning of class)
    Read Sections 5.5 and 5.6

    WeBWork assignment (Due: Friday May 7, by 5:00 PM)


    May 3 - Homework 15:

    Class Notes: Applications of double and triple integrals

    WeBWork assignment (Due: Friday May 7, by 5:00 PM)

    Weekly Written Homework: (Due: May 5 at the beginning of class)
       Chapter 5: 5.4 # 8, 16   5.5 # 8,10,16, 30  

    April 30 - Homework 14:

    Class Notes: Change of variables for triple integrals

    Reading Assignment 12 (Due: May 3 at the beginning of class)
    Read Sections 5.4 and 5.5

    WeBWork assignment (Due: May 3, by 5:00 PM)


    April 28 - Homework 13:

    Class Notes: Change of variables for double integrals

    Reading Assignment 11 (Due: April 30 at the beginning of class)
    Read Sections 5.2, 5.3, 5.4 and 5.5

    WeBWork assignment (Due: April 30, by 5:00 PM)


    April 26 - Homework 12:

    Class Notes: Triple Integrals

    Reading Assignment 10 (Due: April 28 at the beginning of class)
    Read Section 5.1, 5.2 and 5.3

    WeBWork assignment (Due: April 30, by 5:00 PM)

    Weekly Written Homework: (Due: April 28 at the beginning of class)
       Chapter 5: 5.2 # 20   5.3 # 7, 10, 12, 16  

    April 23 - Homework 11:

    Class Notes: Double Integrals over general regions

    Reading Assignment 9 (Due: April 26 at the beginning of class)
    Read Section 5.1 and 5.2

    WeBWork assignment (Due: April 26, by 5:00 PM)


    April 21 - Homework 10:

    Class Notes: Double Integrals over general regions

    Weekly Written Homework: (Due: April 23 at the beginning of class)
       Chapter 3:   3.1 #19   3.2 #8   3.3 # 4, 24(a),    3.4 # 14  
       Chapter 5:   5.1 #7

    April 19 - Homework 9:

    Class Notes: Double Integrals

    Reading Assignment 8 (Due: April 23 at the beginning of class)
    Read Section 3.3 and 3.4


    April 16 - Homework 8:

    Class Notes: Vector Fields

    Reading Assignment 7 (Due: April 19 at the beginning of class)
    Read Section 3.1-3.4

    WeBWork assignment (Due: April 19, by 5:00 PM)


    April 14 - Homework 7:

    Class Notes: Vector Fields
               Examples of vector fields
               Examples of flow lines

    Reading Assignment 6 (Due: April 16 at the beginning of class)
    Read Section 2.6, 3.1 and 3.2

    WeBWork assignment (Due: SATURDAY, April 17, by 5:00 PM)


    April 12 - Homework 6:

    Class Notes: Paths, Path length

    Reading Assignment 5 (Due: April 14, at the beginning of class)
    Read Section 2.5, 2.6 and 3.1

    WeBWork assignment (Due: Friday -- April 16, by 5:00 PM)

    Weekly Written Homework: (Due: April 14, at the beginning of class)
       Chapter 2:   2.3 #21, and compute the linear approximation for the function in exercise 21
                            2.5 # 20, 21   2.6 #12, 20    

    April 7 - Homework 5:

    Class Notes: Chain Rule and Directional Derivative

    Reading Assignment 4 (Due: April 12 by 12:30 PM)
    Read Section 2.3 and 2.4

    WeBWork assignment (Due: Monday -- April 12, by 5:00 PM)


    April 5 - Homework 4:

    Class Notes: Derivatives
                       Class Example

    Read Sections 2.3 and 2.4

    WeBWork assignment (Due: Friday -- April 9, by 5:00 PM)

    Weekly Written Homework: (Due: April 7 by 12:30 PM)
       Chapter 1:   1.2 #11(c),   1.7 #20(a) for a=1.  
       Chapter 2:   2.2 #23,    2.3 #29, 34
    April 2 - Homework 3:

    Class Notes: Multivariable Functions and Limits
                       Example of Graphs
                       Quadratic Surfaces

    Reading Assignment 3 (Due: April 7, by 1:45 PM)
    Read Sections 2.1-2.2

    WeBWork assignment (Due: April 5, by 5:00 PM)


    March 31 - Homework 2:

    Class Notes: Planes, Matrices and Coordinate Systems

    Reading Assignment 2 (Due: April 2, by 12:30 PM)
    Read Sections 1.6-1.7

    WeBWork assignment (Due: April 2, by 5:00 PM)


    March 29 - Homework 1:

    Class Notes: Review of Vectors

    Reading Assignment 1 (Due: March 31, by 12:30 PM)
    Read Sections 1.1-1.5

    WeBWork assignment (Due: March 31, by 5:00 PM)



    Last Updated April 21, 2010 by R. Orellana