HPC Fall Midterm Review (35 points possible, then multiply by 1.5 for a 52.5 assessment)
Section 6.1-6.3 (10 points)
You should be able to:
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Convert radians to degrees and degrees to radians
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Convert DMS to decimal degrees & decimal degrees to DMS
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Use s = r

and solve for the missing value
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Calculate angular velocity
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Calculate linear speed
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Find the exact values of trigonometric identities involving angles on the unit circle

Find the exact values of trigonometric identities involving a point on the terminal side of the ray
Practice: pg. 377 #77, 78, 80 pg. 392 #37, 50, 51 pg. 407 #39, 46
Sections 8.1-8.4 (5 points)
You should be able to:
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Solve right triangle trig applications
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Solve for missing sides/angles using law of sines
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Solve for missing sides/angles using law of cosines
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Recognize and determine the number of triangles in the ambiguous case situation
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Convert unit circle angles to direction/bearings (both methods)
 Compute the area of a triangle using the non Heron’s formula (with sine in it)
Practice: pg. 517 #55, 64 pg. 527 #2, 7, 37 pg. 537 #6, 14, 26 pg. 541 #3
Look at in class review worksheets for bearing ones
Sections 9.4-9.7 (14 points)
You should be able to:
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Write vectors as linear combinations of i and j and in component form
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Add and subtract vectors algebraically & graphically
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Compute a unit vector
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Compute the direction angle and magnitude of a vector
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Write trig forms of the vectors
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Write bearings with unit circle values, not bearing ones!
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Solve velocity vector/ resultant force problems
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Calculate the dot product
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Calculate the angle between 2 vectors
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Compute work
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Decompose a vector into 2 perpendicular vectors
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Compute the cross product
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Calculate a vector normal to 2 other vectors


Find the area of a parallelogram
Practice: pg. 604 #14, 23, 37, 44, 55, 58 pg. 612 #8, 11, 15, 23, 26, 29 pg. 623 #26, 42, 50 pg. 629 #19, 28, 42, 47
Review your in class worksheets for bearing problems!
Sections 13.1-13.3 & 12.5 (6 points)
You should be able to:
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Fill in a Venn Diagram
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Use Venn Diagrams to compute compliments, unions, intersections, & other set operations
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Compute binomial probabilities

Count using Fundamental Counting Principal
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Calculate Permutations
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Calculate Circular permutations
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Calculate Distinguishable permutations
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Calculate Combinations
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Recognize the difference between permutations & combinations
 Compute “simple probability”
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Compute probability related to sets
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Compute probability related to combinations/permutations

Compute binomial probabilities

Expand binomials & calculate coefficients
Practice: pg. 863 #23, 24, 36 pg. 872 #32, 35, 37, 43, 48, 51, 56, 57, 62 pg. 885 #35, 39, 46, 49, 52, 72, 73
A few websites that have some online quizzes. NOTE: The topic is the same, but the section number may be different. http://college.hmco.com/mathematics/aufmann/essentials_precalculus/1e/students/ace/index.html
Click on Sections 6.5 (Binomial), 5.6 (Law of Sines/Cosines), 5.7 (Vectors), 5.1 (Trig) or 4.1 (Trig) http://cwx.prenhall.com/bookbind/pubbooks/esm_sullivan_precalcegu_3/
Choose Chapter 12 on Counting & Probability and take the quizzes. Some of the other chapters have good questions too, but we have not covered all the material on the particular quiz.