MATH& 142: Precalculus II

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Class Program
Mathematics
Distribution
Symbolic or Quantitative Reasoning,
Math/Science Non-Laboratory
Credits 5 Lecture Hours 55
In preparation for calculus this is a comprehensive study of trigonometry, circular functions, right triangle trigonometry, analytical trigonometry. Sequences, series and induction are also covered.

Prerequisites

MATH& 141 or Concurrent enrollment in MATH& 141.
Quarters Offered
Fall,
Winter,
Spring
Course Outcomes

Upon successful completion of the course, students should be able to demonstrate the following knowledge or skills:

  1. Apply trigonometric functions to the solution of triangles and application problems
  2. Manipulate trigonometric functions to prove identities and solve equations
  3. Employ summations, sequences, and series in mathematical induction
Institutional Outcomes
IO2 Quantitative Reasoning: Students will be able to reason mathematically.
Course Content Outline
  1. Trigonometry
    1. Angles and their measure
    2. Right triangles and trigonometric functions
    3. Trigonometric functions of real numbers
    4. Graphs of sine and cosine
    5. Graphs of other trigonometric functions
    6. Additional graphing techniques
    7. Applications of trigonometry
  2. Analytic Trigonometry
    1. Applications of the fundamental identities
    2. Verifying trigonometric identities
    3. Solving trigonometric equations
    4. Sum and difference formulas
    5. Multiple-angle formulas and product-sum formulas
  3. Additional applications of trigonometry
    1. Law of sines and cosines
    2. Trigonometric form of complex numbers
    3. DeMoivre’s theorem and nth roots
    4. Volumes and areas
    5. Hyperbolic trigonometric functions (optional)
  4. Sequences and Series
    1. Sequences and summation notation
    2. Arithmetic sequences and series
    3. Geometric sequences and series
    4. Mathematical induction
Department Guidelines
In order to give the instructor the greatest flexibility in assigning a grade for the course, grades will be based on various instruments at the instructor’s discretion. However, to maintain instructional integrity there must be four class exams (including a final) or three class exams and a project (a project may be substituted for the final). At least 60% of the grade will be based on quantifiable work (exams, homework, quizzes, etc.). The remaining portion of the grade may be based on non-quantifiable work, attendance, projects, journal work, etc., at the instructor’s discretion.