Catalog 2022-2023 
    May 19, 2024  
Catalog 2022-2023 [ARCHIVED CATALOG]

MATH& 142 Pre-Calculus II

5 credits
This course includes the study of the properties, graphs, and applications of the trigonometric functions and their inverses, as well as a brief introduction to polar coordinates and vectors.

Prerequisites: MATH& 141  

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

  • Measure angles in degrees and radians and relate them to arc length 
  • Identify reference angles and coterminal angles
  • Solve applied problems involving arc length, linear/angular speed, and the area of a circular sector
  • Link the graphical, numeric, and symbolic definitions of the trigonometric functions in terms of the unit circle
  • Solve problems involving right triangles and unit circles using the definitions of the trigonometric functions
  • Apply the law of sines and law of cosines to solve for unknown sides and angles of triangles, and solve applied problems associated with these laws
  • Graph the trigonometric functions and their transformations
  • Identify key features including amplitude, period, and horizontal shifts from a graph, formula, table, or verbal description
  • Use trigonometric functions to model periodic behavior described numerically or verbally
  • Use the inverse trigonometric functions to solve equations
  • Manipulate trigonometric identities and use identities to algebraically solve trigonometric equations
  • Perform operations with vectors and use them to solve problems both graphically and component-wise
  • Relate coordinates in polar form to coordinates in rectangular form
  • Write clear, correct, and complete solutions to mathematical problems utilizing proper mathematical notation and appropriate language 
  • Use exact and approximate solutions when appropriate
  • Use problem solving skills, pattern recognition, substitution, structural rules, and quantitative modeling to solve problems involving trigonometric functions, vectors, and alternative coordinate systems

Total Hours: 50 Theory (Lecture) Hours: 50