Vermont State University’s Associate of Science in Mathematics program provides students with an opportunity to study one of western civilization’s oldest and richest disciplines. In addition to the intrinsic value of the study of mathematics as a liberal art, the mathematics degree provides the foundation for a variety of careers in business, scientific and related fields. Students desiring preparation for a high school teaching career may also earn secondary mathematics teaching licensure.
Upon completion of the core requirements, students will be able to:
apply the limit definition of the derivative and use it to calculate the instantaneous rate of change of a function.
calculate the derivative of any algebraic or transcendental function.
use the derivative to solve real-world problems.
apply the Fundamental Theorem of Calculus.
apply integration techniques to a variety of algebraic and transcendental functions.
use the definite integral (and limits of sums) to solve real-world problems.
determine whether an infinite series converges and, when possible, find its sum.
apply the normal or binomial distribution to solve certain probability problems.
calculate probabilities and apply them to determine the unusualness of events.
create and use descriptive statistics to summarize, analyze and compare data sets.
explain the importance of random/probability sampling.
4. Mathematical Reasoning:
apply the working tools of predicate logic.
construct a lucid mathematical proof that demonstrates the logic while using proper grammar and precise mathematical notation.
explore complex and unfamiliar mathematical ideas while effectively communicating these ideas both orally and in writing.