Supplemental Work for Precalculus
   
 
The precalculus objectives are listed in the document below.

Assessment testing of our students show that extra help and assignments in certain areas would be helpful.  Therefore the precalculus committee has prepared several documents for students. 

Please note that there are 3 types of things here. The first column is notes and examples of the objectives.  Click on the EER. The second column is a self quiz on the objective and the third column is the video showing the solutions to the self quiz. This is not complete.

Assessment is an ongoing process.  Students will want to study these notes, take the self quizzes and then view the videos explaining the problems on the self quiz.
This is a work in progress so the EERS that are complete are in Red.

 

  College Algebra Expected Educational Results (EERs)
       
Supplemental Problems

Sample Quiz 

Video

EER 1
Graph rational functions with an emphasis on understanding and describing the asymptotic behavior near vertical and horizontal asymptotes

Quiz EER 1

Quiz EER 1
Self checking

Solutions to the Quiz EER 1
(pdf)
EER 2
Apply the right triangle definitions of the trigonometric functions. ( More Information)

Quiz EER 2

Solutions to the Quiz EER 2
EER 3
Convert between degrees and radians and solve problems involving lengths of circular arcs.  (More information)

Quiz EER 3

Solutions to the Quiz EER 3
  EER 4
Apply the unit circle definitions of the six trigonometric functions. (More information)

Quiz EER 4
 
Solutions to the Quiz EER 4
EER 5
Graph the six basic trigonometric functions and graph transformations of sine and cosine.
More information and This  and this

 
Quiz EER 5 Solutions to the Quiz EER 5
EER 6
Apply the Law of Sines and the Law of Cosines  Sines  Cosines
 
Quiz EER 6 Solutions to the Quiz EER 6
EER 7
Apply the Pythagorean, addition and subtraction, and double-angle identities.
More Information and this
 
Quiz EER 7 Solutions to the Quiz EER 7
  EER 8
Verify trigonometric identities

More
and
More

 

Quiz EER 8
 

Solutions to the Quiz EER 8
(pdf)
EER 9
Apply the definitions of inverse sine, inverse cosine, and inverse tangent and be able to graph these functions.
More information

 
Quiz EER 9 Solutions to the Quiz EER 18
EER 10
Solve equations involving trigonometric functions.
More information
And this

And this
 

Quiz EER 10 Solutions to the Quiz EER 10
EER 11
Represent vectors both algebraically and geometrically, perform scalar multiplication, find the sum of two vectors, find the magnitude of a vector, and decompose a vector into horizontal and vertical components.
Basics

Magnitude and direction
More

 
Quiz EER 11 Solutions to the Quiz EER 11
EER 12
Graph conic sections
More information Parabola, Ellipse, hyperbola

See notes and reviews for videos

Quiz EER 12

 

Solutions to the Quiz EER 12
EER 13
Solve non-linear systems of equations.
More information

More

Quiz EER 13

 

Solutions to the Quiz EER 13
EER 14
Write the terms in a sequence given a formula for the sequence, expand and evaluate a finite series expressed in summation notation, and express a given finite series using summation notation.
More informaion
 
Quiz EER 14

 

Solutions to the Quiz EER 14
General Outcomes    
GEO 1
Write the terms in a sequence given a formula for the sequence, expand and evaluate a finite series expressed in summation notation, and express a given finite series using summation notation.
   
GEO 2
Analyze sine and cosine functions to determine the amplitude, period, phase shift, and vertical shift of the graphs and interpret these concepts in an applied context.
   
GEO 3

Apply mathematical principles and techniques to verify trigonometric identities, apply fundamental trigonometric identities, and solve trigonometric equations

   

1.    GEO 4
Apply mathematical principles and techniques to graph rational functions, work problems involving vectors, graph conic sections, and solve non-linear systems of equations.

 

   
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