MA 140

MA 140 - Precalculus

Graphing Calculator: TI-82 or higher

  1. Review of Fundamental Concepts
    a) Real number system
    b) Equations
    c) Coordinate systems in two systems; the straight line & circle

  2. Functions
    a) Definition and properties of functions
    b) Graphs of functions: zeros, intercepts, asymptotes
    c) Special functions: polynomial, rational
    d) Composite and inverse functions

  3. Trigonometric Functions
    a) Radian and degree measure of angles; arc length
    b) Trigonometric functions of angles
       i) Definition; cofunctions, colerminal
       ii) General angle
       iii) Basic identities: reciprocals, quotient & Pythagorean
       iv) Special angles & unit circle
       v) Graphs of sine/cosine curves
       vi) Inverse trigonometric functions
       vii) Applications

  4. Analytic Trigonometry
    a) Trigonometric identities and equations
    b) Sum/Difference formulas
    c) Multiple angle formulas
    d) Law of sines / Law of cosines
    e) Applications

  5. Exponential and Logarithmic Functions
    a) Review exponents and their properties and laws 
    b) Definition and properties
    c) Exponential and logarithmic equations
    d) Applications

Learning Outcome 1: The student will demonstrate an ability to solve trigonometric equations.

Learning Outcome 2: The student will demonstrate an understanding of trigonometric identities and applications.

Learning Outcome 3: The student will demonstrate an ability to solve logarithmic and exponential equations.