Course Syllabus

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Welcome to Precalculus!!

Course Description:

Preparation for calculus: polynomial, absolute value, radical, rational, exponential, logarithmic, and trigonometric functions and their graphs; analytic geometry, polar coordinates.

 

Student Learning Outcomes:

At the end of this course, the student will be able to understand linear, polynomial, rational, exponential, logarithmic and trigonometric functions. 

 

SLO1: The student will demonstrate the ability to graph and analyze linear, polynomial, rational, exponential, logarithmic and trigonometric functions. [PLO3] 

SLO2: The student will demonstrate the ability to work with functions: inverting, composing, multiplying, and dividing. [PLO3] 

SLO3: The student will demonstrate the ability to solve linear, polynomial, rational, exponential, logarithmic and trigonometric equations. [PLO3] 

SLO4: The student will demonstrate the ability to use the right triangle and the unit circle to determine the values of trigonometric functions. [PLO3] 

SLO5: The student will demonstrate the ability to apply fundamental trigonometric identities. [PLO3] 

SLO6: The student will demonstrate the ability to use the Law of Sines and Cosines to solve oblique triangles. [PLO3] 

SLO7: The student will demonstrate the ability to solve real-world applications and problems using linear, polynomial, rational, exponential, logarithmic and trigonometric functions. [PLO3] 

SLO8: The student will demonstrate the ability to solve linear and nonlinear systems of 

equations and inequalities. [PLO3] 

SLO9: The student will demonstrate the ability to use the graphing calculator to solve problems and analyze data. [PLO3]

Course Content:

  1. Functions including linear, polynomial, rational, radical, exponential, absolute value, logarithmic, trigonometric; definitions, evaluation, domain and range;
  2. Inverses of functions;
  3. Algebra of functions;
  4. Graphs of functions including asymptotic behavior, intercepts, and vertices;
  5. Transformations of quadratic, absolute value, radical, rational, logarithmic, exponential functions;
  6. Equations including rational, linear, radical, polynomial, exponential, trigonometric, logarithmic, and absolute value;
  7. Linear, nonlinear, and absolute value inequalities;
  8. Systems of equations and inequalities;
  9. Characterization of real and complex zeros of polynomials;
  10. Unit circle and right triangle trigonometry;
  11. Trigonometric and inverse trigonometric identities and formulas;
  12. Graphing trigonometric functions:  period, amplitude, phase shift, inverse trigonometric functions; and
  13. Polar coordinates

Textbook:

Great news: your textbook for this class is available for free online!

Precalculus from OpenStax, ISBN 1-947172-06-9
You have several options to obtain this book:

  • View online (Links to an external site.) (Links to an external site.)
  • Download a PDF (Links to an external site.) (Links to an external site.)
  • Order a print copy (Links to an external site.) (Links to an external site.) 

You can use whichever formats you want. Web view is recommended -- the responsive design works seamlessly on any device.

MAT 120 Precalculus DiazSp21-1.docx  

Course Summary:

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