Section 1:
Recursion, Sequences, and Applications

 introduction to recursion and sequences
 arithmetic and geometric sequences
 loans and investments
 the compound interest formula

Section 2:
Functions and their Graphs

 graphs of functions
 basic models you must know
 graphical interpretation of sentences like f(x) = 0 and f(x) > 0
 graphical interpretation of sentences like f(x) = g(x) and f(x) > g(x)
 composition of functions

Section 3:
Probability

 advanced set concepts
 basic probability concepts
 more probability concepts
 probability tree diagrams
 choosing things: does order matter?
 factorial notation
 combinations and permutations

Section 4:
Statistics

 summation notation
 mean, median, and mode
 measures of spread

Section 5:
Systems of Equations

 introduction to systems of equations
 solving systems using substitution
 solving systems using elimination
 simple word problems resulting in a system of equations

Section 6:
Matrices

 introduction to matrices
 basic arithmetic with matrices
 multiplying matrices

Section 7:
Graphical Transformations

 vertical and horizontal translations
(moving up, down, left, and right)
 vertical and horizontal scaling
(stretching and shrinking)

reflections and the absolute value transformation
 graphical transformations: all mixed up

Section 8:
Quadratic Functions and More

 parabolas
 equations of simple parabolas
 quadratic functions and the completing the square technique
 algebraic definition of absolute value
 the quadratic formula
 complex numbers
 arithmetic with complex numbers
 equations of circles

Section 9:
Exponential and Logarithmic Functions

 introduction to logarithms
 properties of logarithms
 change of base formula for logarithms
 introduction to logarithmic functions
 introduction to exponential functions

Section 10:
Polynomials

 introduction to polynomials
