A list of all Undergraduate courses in Mathematics.
Any course listed in this department with a prerequisite requires a grade of C- or better in the prerequisite course, including the high school courses algebra I, geometry and algebra II which are prerequistites of all mathematics and computer science courses except Math 2 and 12.
1 Fundamental Mathematical Concepts I
This course provides prospective elementary 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. Prerequisites: One year each of high school algebra I, II and geometry or equivalent, and a passing score on the placement exam. Does not satisfy the Area B mathematics requirement. Offered every fall.
2 Mathematics Readiness
This course covers basic algebra and geometry concepts including number systems, polynomials, solving equations and inequalities, graphs, functions, lines, system of equations, sets and operations, ratios, proportions, measurement and percents. Emphasis will b placed on problem solving, critical thinking and mathematical reasoning. Prerequisites: One year each of high school algebra I and geometry. Students who have also completed algebra II with a C- or better should take the placement exam before taking this course. Does not satisfy the Area B mathematics requirement. Offered every semester.
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.
Prerequisites: One year each of high school algebra I, II and geometry or equivalent, and a passing score on the placement exam. Seniors are not permitted to enroll in this course. Offered every semester.
4 Introduction to Probability and Statistics
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. Prerequisites: One year each of high school algebra I, II and geometry or equivalent, and a passing score on the placement exam. Offered every semester.
10 The Art and Practice of Mathematics
A 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. Prerequisites: One year each of high school algebra I, II and geometry; English 5 and Collegiate Seminar 20 or 120. Offered every semester.
12 Mathematics Readiness for Calculus
This course includes the basic study of number systems, linear equations and inequalities, quadratic equations and inequalities, polynomials, rational expressions, radials, exponentials, functions, inverse functions, logarithmic and exponential functions, angles, triangles, surface area, volume and applications. Emphasis will be placed on problem solving, critical thinking and mathematical reasoning. Prerequisites: One year each of high school algebra I and geometry. Students who have also completed algebra II with a C- or better should take the placement exam before taking this course. Does not satisfy the Area B mathematics requirement. Offered every fall.
13-14 Calculate with Elementary Functions, I, II
A survey of polynomial, trigonometric, logarithmic and exponential functions combined with differential calculus of functions of one variable and mathematical reasoning. This calculus sequence is intended for students who need to strengthen their precalculus skills. The sequence Math 13-14 is equivalent to Math 27. Prerequisites for Math 13: one year each of high school algebra I,II and geometry or equivalent and a passing score on the placement exam. Math 13 or equivalent is prerequisite to Math 14. *Math 13 alone does not satisfy an Area B mathematics requirement. Offered every semester.
27 Calculus I
Limits, continuity, trigonometry, mathematical induction, mathematical reasoning, the derivative, application of the derivative, antiderivatives and the integral. Prerequisites: One year each of high school algebra I, II and geometry, Precalculus, or equivalent, and a passing score on the placement exam. Does not satisfy the Area B mathematics requirement. Offered every semester.
28 Calculus II with Applications
This course is designed for students majoring in the life sciences, health sciences, business administration, psychology and accounting. Topics include techniques and application of integration, first order differential equations, functions of several variables, double integrals and applications. Prerequisite: Math 27 or equivalent. Offered every fall.
38 Calculus II
This course is designed for mathematics, physics, computer science, engineering and chemistry majors. Topics include techniques and applications of integration, infinite sequences and series, power series, polar coordinates and inverse trigonometric functions. Prerequisite: Math 27 or equivalent. Offered every spring.
39 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. Prerequisites: Math 28 or equivalent. Offered every fall.
Math 101, 120, 134, and 193 area offered annually. Most of the other upper-division courses are offered on a biannual orotation. Contact the department chair for the schedule.
101 Fundamental Mathematical Concepts II
This course is a continuation of Math 1 and focuses on geometry and measurement, patterns, probability, descriptive statistics. Prerequisites: One year each of high school algebra I, II and geometry or equivalent; Math 1 or Math 27 or equivalent. Does not satisfy a Area B math requirement.
111-112 Abstract Algebra I, II
Groups, rings, modules, vector spaces, fields, and Galois theory. Prerequisites for Math 111: Math 39 and 120 or equivalent, or by instructor permission. Math 111 is prerequisite for Math 112.
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. Prerequisites: Math 28 or 38, or equivalent.
114 Mathematical Modeling
A introduction to the formulation, analysis and interpretation of results of mathematical models in the study of real-life problems chosen from the various areas of natural sciences, social sciences, economics and business. Prerequisites: Math 28 or 38, or equivalent.
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. Prerequisites: Math 28 or 38, or equivalent.
120 Linear Algebra with Application
Matrices, simultaneous linear equations, linear transformations, vector spaces, bases determinants, eigenvectors, Gram-Schmidt orthonormalization, techniques of mathematical proof and applications of linear algebra. Prerequisites: Any one of these pairs: Math 27 and 28; Math 27 and 38; Math 27 and CS 21; CS 21 and CS 102, or equivalent.
130 Abstract Geometry
Selection of topics witch may include projective geometry, Euclidean and affine groups and axiomatic geometry and classical problems. Prerequisite: Math 120 or equivalent.
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. Prerequisites: Math 39, or Math 38 and Math 120, or equivalent.
140 Combinatorics and Discrete Mathematics
This course focuses on discrete structures and their relations. Topics may include counting techniques, relations, graph theory, and logic. Prerequisites: Any one of these pairs: Math 27 and 28; Math 27 and 38; Math 27 and CS 21; CS 21 and CS 102, or equivalent.
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. Prerequisites: Math 39 and Math 120, or by instructor permission.
185 Complex Variable
Differentiation and integration of analytic functions of a complex variable, power series, residues, conformal mappings. Prerequisites: Math 39 and Math 120, or equivalent.
190 Special Topics in Mathematics
An upper-division mathematics course not listed above, such as differential geometry, numerical analysis, topology or real analysis. May be repeated for credit as topics vary. Prerequisites: vary with topics.
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. The essay is evaluated by a committee consisting of the faculty supervisor and two other faculty chose in consultation with the student. Prerequisites: Math 111 or 15 or consent of instructor. Senior or second-semester junior standing required.
197 Special Study
Independent research of topics not covered in listed courses. Permission of the chairperson is required.
199 Special Study - Honors
Independent study or research for majors with at least a B average in mathematics. Permission of the chair is required.