The prerequisite for STAT 400 is MATH 141, Calculus II.  Note that MATH 220-221 is not equivalent to MATH 140-141.  The latter sequence is 8 credits and is aimed at students studying mathematical and physical sciences or engineering.  Although STAT 400 only requires calculus of a single variable, students must have genuine proficiency in this material.  The following list details topics from high school algebra and calculus that will be encountered in STAT 400.

Sequences and series:

• limits of sequences and sums of infinite series
• arithmetic and geometric series (both finite and infinite)
• binomial theorem and infinite binomial series
• Taylor's Theorem and Taylor series
• expansions of power, exponential, logarithmic, and trigonometric functions

• continuity and differentiability
• functions defined piecewise
• limiting values and asymptotes

• derivatives as slopes
• integral as area under a curve
• fundamental theorem of calculus
• definite and indefinite integrals

• derivatives of elementary functions
• product, quotient and chain rules for derivatives
• differentiation of sums, linear combinations and series
• minimization and maximization
• sketching the graph of a function

• linearity of integration
• integrals of elementary functions
• change of variable and adjustment of limits
• evaluation of definite integrals
• substitution techniques
• integration by parts
• improper integrals: infinite limits and integrals of unbounded functions

• sets, subsets and elements
• set operations: union, intersection and complement
• partitions and addition rules for counting
• basic multiplication rule for counting in multistep processes
• permutations and combinations
• binomial coefficients