Students are expected to be proficient in both college algebra and trigonometry. This information may be found at College Algebra with Trigonometry . The basic facts are summarized at

• Basic Algebra Facts
• Basic Trigonometry Facts
• Basic Function Facts
• The complex exponential function

• Functions, bounded and unbounded sets
• Limits at infinity
• Limits of bounded monotone functions
• Everything that rises must converge. Well, Flannery O'Connor almost got it right, but she wasn't a mathematician, so we will forgive her.
• Limit properties
• Asymptotes to hyperbolas
• The natural exponential function
• The natural logarithm function
• Limits at real numbers
• Some special limits
• Limits of Quotients and the impossibility of division by zero.
• Properties of Continuous Functions
• Formulae for derivatives : Sums and products.
• More Formulae for derivatives Quotients and compositions.
• Differentiation Practice
• Differentiation formulae Know these!
• Interpreting Derivatives and applying them.
• Maxima and Minima and how derivatives help in their identification.
• Rolle's Theorem: Increasing and decreasing functions.
• Rolle's Theorem: Convex and concave functions.
• Differentiation of Inverse Trigonometric Functions.
• Using derivatives to sketch graphs and solve optimization problems
• Relative growth rates for exponential, power, and logarithmic functions.
• Anti-Differentiation Jeopardy
• Anti-derivatives and solutions of differential equations
• Area
• Integrals and the Change of Variables formula.
• Integration
• The Fundamental Theorem of Calculus