course descriptions
Lower Division Courses
Math 1: Fundamental Mathematical Concepts I
This course provides prospective teachers with part of the background needed for teaching the content of contemporary elementary mathematics programs. The topics include problem solving, the historical development of major mathematical concepts, sets and functions, rational and irrational numbers and their operations, and number theory. Prerequisite: 1 year each of high school algebra I, II and geometry or equivalent.
Math 3: Finite Mathematics
Topics selected from linear equations and matrices, linear programming, Markov chains, game theory and graphs. The emphasis is on applications to life, management, and social sciences. Prerequisite 1 year each of high school algebra I, II and geometry or equivalent.
Math 4: Introduction to Probability and Statisistics
Combinations and permutations, descriptive and inferential statistics, probability and probability distributions, hypothesis testing, regression, and correlation. Applications in a variety of practical settings. This course may not be taken for credit in addition to Business Administration 40 or Psychology 3. Prerequisite:One year each of high school algebra I, II and geometry or equivalent.
Math 10: The Art and Practice of Mathematics
reflective examination of basic mathematical ideas and patterns. Through participation in the discovery and development of mathematical ideas the student will view the subject as a vehicle for human creativity. The course traces the historical and contemporary role of appropriate mathematical topics. Prerequisite:One year each of high school algebra I, II and geometry or equivalent; English 5 and Collegiate Seminar 20 or 120.
Math 27-28: Calculus I, II
Differential and integral calculus of functions of 1 variable, mathematical reasoning, infinite series, and introductions to differential equations and differential calculus in several variables. Prerequisites for Math 27: 1 year each of high school algebra I, II and geometry or equivalent. Math 27 or equivalent is prerequisite for Math 28. Lab fee required.
Math 29: Calculus III
A rigorous treatment of limits for functions of 1 and several variables, differentiation and integration of functions of several variables, coordinate systems, vectors, line and surface integrals, Green's, Stokes' and the Divergence Theorems. Prerequisite:One year of high school trigonometry and Math 28 or equivalent.
Math 30: Linear Algebra with Logic
Propositional logic, matrices, simultaneous linear equations, linear transformations, vector spaces, bases, determinants, eigenvectors, and Gram-Schmidt orthonormoalization. This course emphasizes techniques of mathematical proof. Prerequisite: Any one of these pairs: Math 27 and Math 28, Math 27 and CS 21, CS 21 and CS 102, or equivalent.
Upper Division Courses
Math 101: Fundamental Mathematical Concepts II
This course is a continuation of Math 1 and focuses on geometry and measurement, patterns, probability, descriptive statistics, and introductory computer concepts using the computer language LOGO. Prerequisite: 1 year each of high school algebra I, II and geometry or equivalent; Math 1 or Math 27 or equivalent.
Math 111-112: Abstract Algebra I, II
Groups, rings, modules, vector spaces, fields, and Galois theory. Prerequisite for Math 111: Math 29 and Math 30 or equivalent. Math 111 is prerequisite for Math 112.
Math 113: Probability and Statistics
Discrete and continuous random variables, expectation and variance, independence, distributions and the Central Limit Theorems. Survey of statistical methods: estimation, sampling, hypothetesis testing, linear regression, and confidence intervals. Prerequisite: Math 28 or equivalent.
Math 115: Number Theory
Results studied include the Fundamental Theorem of Arithmetic, the Euclidean Algorithm, congruences, Fermat's Little Theorem and Euler's generalization, Diophantine equations and the Law of Quadratic Reciprocity. Prerequisite: Math 28 or equivalent.
Math 128: Numerical Analysis
Finite differences, interpolation methods, numerical solutions to transcendental and differential equations, matrix inversion, polynomial approximations and numerical integration. Includes computer methods. Prerequisite: programming ability, Math 29 or 30 or equivalent.
Math 130: Abstract Geometry
Selection of topics with may include projective geometry, Euclidean and affine groups and axiomatic geometry and classical problems. Prerequisite: Math 30 or equivalent.
Math 134: Differential Equations
Ordinary differential equations, existence and uniqueness theorems, some numerical methods, Laplace transforms, series solution, linear systems with constant coeffiencents. Partial differential equations, separation of variables, Fourier series. Prerequisite: Math 29 or 30 or equivalent.
Math 140: Combinatorics and Discrete Mathematics
This course focuses on discrete structures and their relations. Topics may include counting techniques, relations, graph theory, and logic. Prerequisite: Any one of these pairs: Math 27 and Math 28, Math 27 and CS 21, CS 21 and CS 102, or equivalent.
Math 150: Advanced Calculus
A rigorous review of the theory of single variable calculus, topology of n-space, integration and differentiation, improper integrals, differential forms, the theorems of Stokes and Gauss. Prerequisite: Math 29 or equivalent.
Math 160: History of Mathematics
A selection of readings and problems tracing the evolution of the field. Prerequisite: Math 28 or equivalent.
Math 185: Complex Variables
Differentiation and integration of analytic functions of a complex variable, power series, residues, conformal mappings. Prerequisite: Math 29 or equivalent.
Math 193: Senior Seminar
An in-depth critical examination of a topic or topics in contemporary mathematics. The course consists of directed reading, presentations, research, and the writing of a final essay under the supervision of the instructor. At the conclusion of the semester students are expected to present their work at a departmental colloquium of faculty and students. Senior standing required.
Math 197 Special Study
Independent research of topics not covered in listed courses. Permission of the chairperson is required. Math 199 Honor Special Study Independent study or research for majors with at least a B average in mathematics. Permission of the chairperson is required.
