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<title>
Test 1 - review
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<h1>Test 1</h1>
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<p class="show">Can use...
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<li>calculator
<li>one 8 1/2 X 11 page of notes that you prepare ahead of time.
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Can't use...
<ul><li>Interwebs, or textbook,
<li>CoCalc / GeoGebra / Mathematica,
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<p>Of necessity, the test will be <b>open book</b>.  You may use a calculator (make sure you know how to switch between degrees and radians!). You may consult your notes, my notes, the textbook, use a calculator, but not other people.

<p>The test will be timed.  I'll send out a .pdf of the exam at 11:00 AM (Goshen time).  You may mark it up (Notability) or write your answers on separate pieces of paper, and upload snapshots of them in when finished.

<p>Because the test is timed, you will need to study ahead of time.  Do not expect to be able to learn material you have not yet understood by reading up on it during the test!

<h4  class="show">Topics</h4>
<p>From Chapter 9, Sections 1-6
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<li>Plot points in 3D space.
<li>Draw coordinate axes from different viewpoints.
<li>Geometrically determine sums and differences of vectors, scalar products of vectors, projections of vectors onto other vectors, find components of vectors.
<li>Determine sums and differences of vectors in component form.
<li>Find distances between points.
<li>Find lengths of vectors.
<li>Be able to calculate a unit vector pointing in the same direction as a non-unit vector:  Both knowing the components, as well as visually.
<li>Know the difference between points and vectors.
<li>Compute dot and cross products.
<li>Know relationship between dot and cross products and the angles between vectors.
<li>Apply dot and cross products - areas of parallelograms, volumes of parallelpipeds, angles between vectors, force and work or torque.
<li>Equations of lines (parametric, vector equation, symmetric equations).
<li>Equations of planes (normal to a plane, standard form, parametric functions).
<li>Rectangular, Cylindrical, Spherical coordinate systems and converting between them.
<li>Identifying surfaces in space given equations for such surfaces; Horizontal / vertical traces.
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<p>Topics from Chapter 10, Sections 1-4.
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<li>Vector functions, parametric curves.
<li>Curves in space and sketching curves in space; Projections of a curve.
<li>Derivatives of a vector valued function.
<li>Tangent line to a space curve. Unit tangent vector.
<li>Arc length.
<li>Curvature.
<li>Relationship between vector valued function (position vector), the derivative (velocity vector), the second derivative (acceleration vector).
<li>Tangential and normal components of acceleration.
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