Mar 03, 2024  
2016-2017 Catalog 
    
2016-2017 Catalog [PAST CATALOG]

MAT 142 - College Algebra and Trigonometry 2

3 credit hours - Three hours weekly; one term.
This course meets the Mathematics General Education Requirement.

Study trigonometry and advanced algebra to prepare for calculus. Trigonometric topics include angle measurement, definitions of the six trigonometric functions from the right triangle and unit circle perspectives, graphs, identities, inverses and equations. Algebraic topics include conic sections, polar coordinates, and a review of functions and graphs.

Prerequisite(s): MAT 141  (formerly MAT 131).

Note: Credit is not given for both MAT 142 and MAT 105 or MAT 142 and MAT 121 or MAT 142 and MAT 151 .

Course Outcomes
Upon successful completion of this course, students will be able to:
 

  • Solve equations involving trigonometric, polynomial, rational, exponential,
    logarithmic, radical, and absolute value expressions.
    • Use symbolic algebra to solve equations.
    • Use a graph to solve equations.
    • Check solutions and determines extraneous solutions.
  • Graph trigonometric, polynomial, piece-wise defined, rational, exponential, and
    logarithmic functions, and conic sections.
    • Produce the graph of a relation or function both by hand and with appropriate
      technology.
    • Produce the graph of a shifted, reflected, stretched or compressed function, given
      the graph of the original function.
    • Given a trigonometric function, identify the amplitude, period and phase shift of that
      function.
    • Produce the graph of a relation using polar coordinates.
  • Analyze graphs of trigonometric, polynomial, piece-wise defined, rational,
    exponential, and logarithmic functions, and conic sections.
    • Given the graph of a relation or function, identify the analytical characteristics of the
      relation (e.g. the symmetries, the intercepts, the domain and range, intervals on which
      a function is increasing or decreasing, extrema).
    • Identify the transformations that produce a given graph.
    • Given the graph of a trigonometric function, identify the amplitude, period and phase
      shift.
    • Identify the analytical characteristics of conic sections (e.g. the directrix, foci,
      symmetry).
  • Perform algebraic operations on functions and expressions.
    • Evaluate trigonometric and inverse trigonometric expressions using degree and
      radian measures.
    • Find and evaluate compositions of functions.
    • Find the inverse of a function, when it exists.
    • Verify trigonometric identities and use them to simplify trigonometric expressions.
  • Model problems from the natural and social sciences with the appropriate
    algebraic or trigonometric equation or function.
    • Use provided data to determine an equation or function that can be solved,
      optimized, or evaluated to find an unknown quantity.
    • Use trigonometric ratios, the Law of Sines, the Law of Cosines, and inverse
      trigonometric functions to solve problems involving angles, speeds, and distances.
Core Competencies
Core 1 Communication Core 2 Technology Fluency Core 7 Quantitative Reasoning Core 10 Innovative and Critical Thinking