Topics on the Final

No graphing calculator allowed

• graph linear functions
• graph absolute value functions
• graph inequalities
• add and subtract matrices
• multiply matrices by a scalar or another matrix
• find determinants and inverse matrices
• be able to write the identity matrix
  
• solve quadratic equations
• graph quadratic functions in standard or vertex form
• evaluate and simplify exponents
• evaluate logarithms
• generate Pascal's triangle
• use Pascal's triangle to expand binomials and find nCr
• Generate Fibonacci numbers
  
• find horizontal and vertical asymptotes

Graphing calculator allowed

• know the abbreviations for special sets (real numbers, integers, etc.) and understand the elements of those sets
• identify sets as being closed under addition or multiplication
• recognize functions
• onto & 1-to-1
• define function
• write the equation of a given line
• solve systems of equations in 2 or 3 variables
• solve systems of equations using matrix equations
• add, subtract, multiply, and divide complex numbers
• graph complex numbers
• add, subtract, multiply, and divide polynomials
• compound interest
• solve exponential equations
• solve logarithmic equations
• know the focal properties of conic sections
• graph and classify conic sections
• be able to convert between bases
• add and subtract in any base
• multiply in base 2
• know what fractions terminate and what multiples repeat in a given base
• evaluate sigma notation
• understand inductive proof
• understand proof by contradiction
• convert a number to mod n