Jul 05, 2022  
2020-2021 Undergraduate Academic Catalog 
    
2020-2021 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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MA 120A - Precalculus Mathematics

4 lecture hours 1 lab hours 4 credits
Course Description
This course is the same as MA 120 . The ‘A’ designation after the course number indicates this is a special section taught with extra math lab hours built in as a requirement for successful completion of the course. (prereq: MA 125  or equivalent and consent of instructor)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • Be proficient with exponential expressions including the laws of exponents and negative and rational exponents
  • Factor simple polynomial expressions
  • Simplify rational expressions including products, sums, and complex rational expressions
  • Solve rational equations including consideration of the domain by means of linear approach and quadratic approach (solving by factoring and/or quadratric formula)
  • Be able simplify radical expressions including rationalizing the numerator or denominator
  • Solve radical equations (optional)
  • Understand the concept of a function, its range and domain, and its graph
  • Be proficient with linear functions and models including recognizing that the slope represents rate of change
  • Know the graphs of common equations
  • Transform the graphs of functions graphically and algebraically
  • Understand piecewise-defined functions
  • Use operations of functions including composition of functions on calculus concepts such as difference quotients
  • Understand exponential functions, their domain and range, and graphs
  • Understand logarithmic functions, their domain and range, and graphs
  • Be proficient with the properties of logarithms including solving exponential equations
  • Understand the measure of an angle including radians and degrees
  • Understand the definition of the six trigonometric functions including their relation to the geometry of the unit circle and right triangles
  • Evaluate the trigonometric functions both approximately, by using the calculator, and exactly, by using reference angles of common angles
  • Apply trigonometric properties to applications
  • Know the graphs of the three of sine, cosine and tangent. Recognize the remaining three trigonometric graphs
  • Be proficient with basic trigonometric identities including reciprocal identities, ratio identities and Pythagorean identities
  • Be familiar with other trigonometric identities (double angle and reduction or half-angle identities)
  • Understand the definition of the inverse trigonometric functions and be able to evaluate to find common angles
  • Solve basic trigonometric equations

Prerequisites by Topic

Course Topics
  • Properties of exponents
  • Factoring and simplifying polynomials, rational and radical expressions
  • Solving quadratics and trigonometric functions
  • General functions and their properties: linear, basic graphs, piece-wise
  • Trigonometric functions and their properties
  • Exponential and log functions

Coordinator
Dr. Anthony van Groningen



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