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Course Info

Schedule

Textbook

    0. Due Wed. 1/19: Information Sheet, Written Homework
      Problem
        Complete the information sheet found here and return it to your instructor during office hours.

    1. Due Fri. 1/21: Vectors, Dot Product

      Problems
        1.1: 20, 21.
        1.2: 11, 12.
        1.3: 4, 8, 17, 20, 21.
      Reading
        1.2, 1.4-1.5 and this note on written homework.

    2. Due Mon. 1/24: Cross Product, Parametric Equations, Distance

      Problems
        1.2: 14, 16.
        1.4: 6, 7, 13, 17, 19.
        1.5: 2, 4, 8, 23. (Please turn in problems in this section with next assignment. However, I would appreciate if you can try all of them before you come to next lecture. Thanks!)
      Reading
        2.1
      Optional
        Click here to ``see'' the cross product in action.


    3. Due Wed. 1/26: Multivariable Functions

      Problems
        1.4: 21.
        1.5: 19.
        2.1: 6, 7, 16, 17, 36, 40.
      Reading
        2.2

    4. Due Fri. 1/28: Limits, Continuity

      Problems
        2.2: 9, 14, 22, 31, 34.
      Reading
        2.3


    5. Due Mon. 1/31: Derivatives, Partial Derivatives

      Problems
        2.2: 23.
        2.3: 1, 2, 5, 9, 10, 29, 48.
      Reading
        2.4

    6. Due Wed. 2/2: More Derivatives, Higher Order Partial Derivatives

      Problems
        2.3: 14, 17, 22, 23.
        2.4: 17, 18, 20.
      Reading
        2.5

    7. Due Fri. 2/4: The Chain Rule

      Problems
        2.3: 28.
        2.5: 5, 15, 16, 22, 23.
      Reading
        2.6


    8. Due Mon. 2/7: Directional Derivatives, Gradient

      Problems
        2.6: 7, 8, 12, 16, 26, 27.
      Reading
        5.1-5.2

    9. Due Wed. 2/9: Area, Volume, Double Integrals

      Problems
        5.1: 2, 6, 9, 12.
        5.2: 3, 7, 12.
      Reading
        5.3

    10. Due Fri. 2/11: Changing the Order of Integration, Polar Coordinates

      Problems
        5.3: 2, 7, 10, 13.
      Reading
        1.7, 5.4, 5.5
      Note
        Take Home Exam given out on this day.


    11. Due Wed. 2/16: Triple Integrals, Cylindrical and Spherical Coordinates

      Problems
        1.7: 10, 14, 18.
        5.4: 4, 7, 13, 14, 20.
        5.5: 13, 14, 15.
      Reading
        3.1
      Optional
        Click here for a discussion on intersecting cylinders.

    12. Due Fri. 2/18: Parametrized Curves, Velocity, Acceleration, Arclength

      Problems
        5.5: 23, 25, 27.
        3.1: 9, 19, 24.
        3.2: 5, 6, 7.
      Reading
        3.2


    13. Due Mon. 2/21: Vector Fields

      Problems
        3.3: 1, 5, 12, 19, 24.
      Reading
        3.4

      14. Due Wed. 2/23: Gradient, Divergence, Curl, Del Operator

        Problems
          3.4: 4, 7, 8, 13, 14, 23.
          3.5: 2.
        Reading
          6.1

      15. Due Fri. 2/25: Scalar Line Integrals, Vector Line Integrals

        Problems
          6.1: 3, 5, 7, 10, 12, 14, 19, 20.
        Reading
          6.2


      16. Due Mon. 2/28: Green's Theorem

        Problems
          6.2: 1, 2, 7, 8, 11, 12.
        Reading
          7.2

      17. Due Wed. 3/2: Scalar Surface Integrals

        Problems
          7.2: 6, 7, 10.
          Additional: Use a surface integral to compute the lateral surface area (i.e., not including the top and bottom discs) of a cylinder with radius a and height h.
          Additional: Complete a Top Five List using the form found here and propose a problem for the upcoming exam using the form found here. These two forms should be turned in separately from the above homework.

      18. Final Exam, Fri. 3/4, in Class.