I. Functions
a) Graphs of functions
1. Shifting, reflecting and Stretching Graphs
b) Combinations of functions
c) Inverse functions
II. Polynomial and rational functions
a) Quadratic functions
b) Polynomial functions
c) Real Zeros
d) Complex numbers
e) Fundamental Theorem of Algebra
f) Rational functions
III. Exponential and Logarithmic functions
a) Exponential graphs
b) Logarithmic graphs
c) Properties of Logarithms
d) Solving exponential and logarithmic equations
e) Exponential and logarithmic models
IV. Trigonometric functions
a) Radian and degree
b) Trigonometric functions
c) Right triangle Trigonometry
d) Trigonometric functions
e) Graphs of Sine and Cosine functions
V.Analytic Trigonometry
a) Verifying Identities
b) Solving equations
VI. Vectors
a) Vectors in the plane
b) Vectors and dot product
VII. Systems of equations
a) Solving systems
b) Systems of linear equations
c) Multivariable linear equations
d) Partial fractions
e) Systems of equations
VIII. Matrices and Determinants
a) Matrices and systems of equations
b) Operations with matrices
c) Inverse matrix
d) Determinant
IX. Sequences
a) Sequences and summation
b) Mathematical induction
c) Binomial Theorem