Tuesday, March 25, 2014

Vectors and Parametrics

Here is the syllabus for the topics. In Demana it is the beginning of Chapter 6.  In Brown it is Chapter 12.  The skills you should know for manipulating and using vectors are listed here.  Make sure you know how to do all of them before the test!

3/26      Intro to Vectors
             Demana p.464-465/3-27 by 3's and 29-39 odd and Brown p.423, 425/5-7, 17-20
3/28      Angles between vectors, The Dot Product (End of Term 3)
             Brown p.444-445/1-19 odd, 23, 28, 29 and p.429-431/11,12,15,18, 31, 32

3/31      Vector Proofs (D: 6.1 and B: 12.1, 12.2)  (some example solutions)
             finish worksheet plus Brown p.425-426/21-23 and p.429-431/27-29,33,34, 37, 38
4/01      Equations of Lines, Vectors in 3D
             finish worksheet plus B p.436-437/17 and D p.466/63,64
             If you still feel that you need extra practice to feel comfortable with the material,
             section 12.5 in the Brown book is the place to go (clear explanations, good
             diagrams, comprehensive problems).
4/02      Parametric Equations
             HW B p.437-439/24-29, 39, 40 and p.451/27, 28
4/04      More Parametric Equations
             HW Worksheet

4/07   More 3D: Equations of Planes, vectors perpendicular to planes (B: 12.5)
             Worksheet problems 1-10 plus B p.452/43-45 and p.455/15,28-31,33
             We talked about equations of planes & vectors perpendicular to the planes. Read the
             corresponding explanations in the book. They are very clear, have lots of examples and
             better pictures than anything I can draw. (This reading should be considered
             part of the homework!)
4/08   Spheres, vectors & planes, Angles between planes (B: 12.5, 12.6)
             B p.450-452/11,13,17,31-36,41,42 and p.456-458/21,25,27,34,35,37-39
4/09   The Cross Product
             Vector Cross Product worksheet B p.466/2,3 p.467/9,13,15bd
4/11   Projections, Distance from a point to a plane
             Do p.457-458/37-39 if skipped before and "Points, Lines and Planes in 3D" problems 11-14

4/14   Start Review Problems (this is the first night of Passover)  (answer key)
4/15   Finish Extension Problems  (download a practice test, download solutions)
4/16  Vector Unit Test  (tell me early if this date is a problem because of Passover)
  • For projection practice, do Demana p.473/25-28 and 58a.
  • Other than that, go back and make sure you have done and understood all of the previous homework in light of the objective skills of the unit. 
4/18-4/27   April Vacation

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