Supplemental Work for Precalculus  

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


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