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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

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