MA 140 -- Precalculus
Graphing Calculator: TI-82 or higher
- Review of Fundamental Concepts
a) Real number system
b) Equations
c) Coordinate systems in two systems; the straight line & circle
- Functions
a) Definition and properties of functions
b) Graphs of functions: zeros, intercepts, asymptotes
c) Special functions: polynomial, rational
d) Composite and inverse functions
- 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
- Analytic Trigonometry
a) Trigonometric identities and equations
b) Sum/Difference formulas
c) Multiple angle formulas
d) Law of sines / Law of cosines
e) Applications
- Exponential and Logarithmic Functions
a) (Review exponents and their properties and laws)
b) Definition and properties
c) Exponential and logarithmic equations
d) Applications