Table of Contents - Hartwick College

problems drawn from various disciplines. Emphasis is placed on the
application of topics covered in Math 121 and 233 such as rates of change,
maximum-minimum problems, differentials, integrals, non-rectangular
coordinate systems and vectors in two and three dimensions. Problems
addressed are questions which arise in physics, economics, biology and
other areas of study. This course is strongly recommended for math
majors and others with interest in applied mathematics. This course does
not count toward satisfying the requirements for a mathematics major or
minor. Prerequisite: Math 233 or 235. Offered J Term. (MLC)
220 Linear Algebra (3 credits) Systems of linear equations, matrix
algebra, dependence and independence, vector spaces, transformations.
Applications. Prerequisite: at least a C- in Math 233 or 235. (MLC)
233 Multivariable Calculus (3 credits) This course begins with
techniques of integration of functions of a single variable, then goes on to
include vectors, functions of several variables, partial derivatives, multiple
integrals (including alternate coordinate systems), parametric equations,
vector-valued functions, and line integrals. Prerequisite: at least a C- in
Math 121. (MLC)
235 Advanced Single Variable Calculus (3 credits) This course is the
second half of the single-variable calculus. It includes techniques of
integration, applications of integration, infinite sequences and series,
polar coordinates, and complex numbers. Prerequisite: at least a C- in
Math 121. (MLC)
308 Mathematical Probability and Statistics (3 credits) Probability
theory, random variables, limit theorems and applications to hypothesis
testing, estimation, regression. Prerequisites: Math 233 and 235. (MLC)
311 Differential Equations (3 credits) Basic theory of ordinary
differential equations. Equations of first order and first degree, linear
differential equations and linear systems, operational methods, numerical
methods, solution in series, existence and uniqueness theorems.
Prerequisite: Math 233; Prerequisite or corequisite: Math 235. (MLC)
320 Introduction to Abstraction (3 credits) This course prepares
students for the more abstract upper-division courses. Topics such as sets,
logic, mathematical proof, partial orders, equivalence relations,
construction of the natural numbers, integers, rational numbers and the
real numbers will be covered. Prerequisite: Math 233, 235, and at least a C
in Math 220. (MLC)
326 Discrete Mathematics (3 credits) Elementary set theory and logic.
Mathematical induction. Principles of counting including combinations,
permutations, distributions, derangements, binomial and multinomial
coefficients, pigeon-hole principle, Stirling numbers. Other topics selected
from generating functions, finite state machines and languages, graph
theory, Boolean algebra. Prerequisites: Math 220, 233, and 235. Offered
alternate years. (MLC)
333 Advanced Multivariable Calculus (3 credits) Parameterization
of curves and surfaces, curves in 3-space, arc length, surface area,
gradient, divergence, curl, line integrals, surface integrals, theorems of
Green, Gauss, and Stokes. Prerequisite: Math 233. (MLC)
335 Modern Geometry (3 credits) Structure and flaws of Euclidean
geometry as an axiomatic system; development of neutral geometry
leading to Euclidean and non-Euclidean geometries. Prerequisites: Math
160