Please refer below for short descriptions of the Mathematics courses that may be required for completion of a Computer Science department major. Please refer to the Computer Science Major Course Requirements page for a listing of courses needed to fulfill any of the three majors offered by this department -- Computer Science, Computer Science-Mathematics or Information Technology.

To see the descriptions, either shortcut click on the course number in the table or if you prefer, just scroll down the page to the desired text. All descriptions are on this single page.

MTH10 Integrated Precalculus/Calculus II

Introduction to the theory and methods of differential calculus. Topics include functions, graphs, limits, continuity and derivatives. Enrollment by readiness examination result only. May not be enrolled on a pass-fail basis.
[4 credits]

(Prerequisite: MTH10)
Introduction to applications of the derivative and the theory and applications of the definite integral. Topics include trigonometric functions and their derivatives, applications of derivatives, antiderivatives, the definite integral and applications of the intergral.
[4 credits]

(Prerequisite: Sufficiently high score on the calculus readiness exam)
The first course in the standard calculus sequence. Introduction to the theory, methods, and applications of differential calculus and an introduction to the definite integral. Topics include algebraic and trigonometric functions, limits, and continuity, rules for differentiation, applications of the derivative, antiderivatives, and the definition and basic properties of the definite integral.
[4 credits]

(Prerequisite: MTH11 or (10 and 11S))
The second course in the standard calculus sequence. Included are an introduction to the logarithmic and exponential functions, the applications of the definite integral, techniques of integration, indeterminate forms, improper integrals, numerical methods, and infinite series.
[4 credits]

MTH13 Vectors and Matrices

(Prerequisite: MTH12)
Introduction to the theory of vectors and matrices. Among the topics included are: vectors, vector operations, the geometry of Euclidean space, systems of equations, matrices, matrix operations, special trnansformations, eigenvalues, and applications of matrix theory.
[4 credits]

MTH21 Vector Calculus

(Prerequisite: MTH13)
Introduction to multivariate and vector caluculus. Topics include vector functions and the differential and integral calculus of functions of several variables including Green's Theorem and Stoke's Theorem.
[4 credits]

MTH22 Differential Equations

(Prerequisite: MTH13)
Introduction to the theory, methods, and applications of ordinary differential equations, including first- and higher-order differential equations, series solutions, systems, approximate methods, Laplace transforms, and phase plane analysis.
[4 credits]

MTH28 Introduction to Discrete Mathematics

(Prerequisite: MTH12)
Introduction the the main ideas and proof techniques of discrete mathematics. Among the topics covered are mathematical logic, relations, functions, partitions, recursion, induction, combinatorial principles, inclusion/exclusion, enumeration, and introductory graph theory (trees, connectivity, planarity, colorings, etc.).
[4 credits]

MTH34 Linear Algebra and Matrix Theory

(Prerequisite: MTH13 and 28)
Study of matrix algebra, systems of linear equations, finite dimensional real vector spaces, linear transformations, determinants, inner product spaces, eigenvalues and eigenvectors.
[4 credits]

MTH35 Number Theory

(Prerequisite: MTH28)
Introduction to the arithmetic properties of integers including divisibility, congruences, diophantine equations, primes and their distribution, quadratic forms and quadratic reciprocity. Additional topics will be chosen from continued fractions, cryptography, partitions, elliptic curves, modular forms and number fields.
[4 credits]

MTH37 Probability

(Prerequisite: MTH21)
Calculus-based course in probability, covering counting, discrete and continuous probability, random variables, important probability distributions, joint distributions, expectation, moment generating functions, and applications of probability.
[4 credits]

MTH40 Mathematics Models and Applications

(Prerequisites: MTH21 and 22)
A selection of mathematical models using various continuous and discrete methods and having applications in business and the social and biological sciences. Included are ecological models, epidemic models, Richardson's arms race model, and population growth models. Other topics discussed are linear programming, voting problems, and Markov chains.
[4 credits]

MTH43 Modern Algebra

(Prerequisites: MTH28)
A theoretical introduction to some of the basic ideas of modern abstract algebra. Included is a study of groups, rings, domains, polynomial rings and fields as well as an investigation of their substructures and of the fundamental homeomorphism theorems.
[4 credits]