A review of integer and rational number operations, introduction to algebra, algebraic expressions and solving of elementary equations and inequalities will be covered in this class. Manipulation and graphing of equations in two variables, as well as solving systems of equations in two variables. Multiplying, factoring and manipulating polynomial expressions. Credit in this course does not apply toward graduation. Students who are enrolled in MATH088 are encouraged to also enroll in MATH107 concurrently.
Algebra for students who have not had second-level high school algebra or who need a refresher course in that level of algebra. Quadratic equations, radical and rational expressions and equations, exponential and logarithmic functions will be studied. Students who are enrolled in MATH088 are encouraged to also enroll in MATH107 concurrently. This course will not count toward a major or minor in mathematics.
General notions of problem solving and number theory for elementary teachers including sets, functions, numeration systems, and properties and operations of whole numbers, integers, fractions and decimals, and proportional reasoning.
Basic notions of geometry for elementary teachers including constructions, congruence and similarity, motion geometry, symmetry and tessellations. Concepts of measurement, coordinate geometry, probability and data analysis.
Students who are enrolled in MATH088 or MATH102 are strongly encouraged to enroll in this class. In this class we will discuss phobias about mathematics and build our confidence about our mathematical abilities through discussion and active problem solving without the constraints of a traditional mathematics course. This course will be a suggested corequisite with MATH088 or MATH102. Course may not be repeated.
A discovery course in mathematics which explores the varied relationships of mathematics to society and the natural world through application and enrichment. A study of functions and statistics is a core component of the course. This course satisfies the general education mathematics requirement. It will not count toward a major or minor in mathematics.
This course is a study of families of functions through formulas, tables, graphs and words, emphasizing applications in business, life and social science. The function families include linear, polynomial, rational, exponential, logarithmic and power functions. Within these families, topics include problem solving, model creation, solving equations, systems of equations and inequalities, rates of change, graphing, analysis, and interpretation. This course will not count toward a major or minor in mathematics.
Limits, differentiation, applications of the derivative, integration, application of the definite integral, techniques of integration. Calculus of exponential and logarithmic functions, elementary differential equations, functions of several variables. This course will not count towards a major or minor in mathematics.
Basic theory of trigonometric functions and inverse trigonometric functions. Applications include trigonometric equations, plane trigonometry, vectors and complex numbers. Introduction to conic sections. Study of exponential functions and their connection to trigonometric functions, logarithmic functions and applications.
Limits, continuity and inverse functions. Logarithmic and exponential functions. Differentiation and applications of the derivative. L'Hopital's rule. Inverse trigonometric functions. Integration and the definite integral.
Applications of the definite integral. Techniques of integration and improper integrals. Infinite series. Conic sections, polar coordinates and parametric equations.
Descriptive statistics, probability distributions (including normal, binomial and chi-square), techniques of statistical inference including tests of hypotheses and selected nonparametric tests. (This course is a survey of elementary statistical concepts.) This course will not count toward a major in mathematics.
Elements of set theory, set algebra, cardinality, logic, mathematical induction, methods of proof, functions, relations, equivalence and recurrence relations.
Selected topics from discrete mathematics including fundamental counting principles, recurrence relations and an introduction to graph theory. A strong emphasis is placed on fundamental problem-solving techniques.
Three-dimensional space, vectors, vector-valved functions, partial differentiation, multiple integration, topics in vector calculus.
Floating point representation of numbers and floating point arithmetic. Survey of numerical methods for solving a wide variety of common mathematical problems, including solution of a single non-linear equation, solution of systems of linear and nonlinear equations, matrix factorization, numerical integration, function approximation, and interpolation. Emphasis will be on the computer implementation of common algorithms for solving these problems. On demand
Special studies and/or research in mathematics for individuals or small seminar groups. Course content to be arranged with instructor and with approval of the department head. This course may be repeated for a maximum of eight credits. (1-4, 0) 1-4
An introduction to matrix algebra, vector spaces and linear transformation, including applications to the natural and social sciences.
An introductory course in probability and mathematical statistics. Probability, probability distributions, mathematical expectation, moment generating functions and the Central Limit Theorem.
A continuation of MATH308 including estimation of parameters, testing hypotheses, nonparametric methods, analysis of variance, multiple regression and an introduction to statistical software packages.
Differential equations of first order, linear differential equations of second and higher orders, including Laplace transformation. Introduction to power series methods, applications.
Selected topics in the development of mathematics from the time of the ancient Babylonians and Egyptians to the 20th century.
Selected topics in geometry, including some or all of the following: Modern elementary geometry, transformations, Euclidean constructions, dissection theory, projective geometry, introduction to non-Euclidean geometry, and problems in foundations of geometry.
An introduction to the theory of abstract algebra. Topics include groups, rings, fields, and fundamental homomorphism theorems.
A continuation of MATH341 including rings, integral domains, ideals, quotient rings, the natural homomorphism, fields and polynomial rings. On Demand
Selected topics in graph theory, including connectivity, matchings, edge and vertex colorings, networks and tournaments. Alternate Years
Directed study of a junior or senior level topic in mathematics. This course may be repeated up to 12 credits.
Selected applications of mathematics in such areas as biology, economics, social science and engineering are discussed. The construction of a mathematical model used to study a real situation will be stressed, as well as interpretation of mathematical results in that context.
Advanced topics in calculus, beyond the level of Calculus III and Differential Equations, to be announced by the instructor. Topics may include but are not limited to Fourier Series, Partial Differential Equations, or Complex Variables. Applications to the physical sciences will be included. Alternate Years.
The calculus of functions of a complex variable, algebra and geometry of complex numbers, elementary functions, limits, derivatives, Cauchy-Rieman equations, integrals, Cauchy integral theorem, series, singularities, residue theorem. On Demand
An examination of some of the foundations of the calculus, including basic topology of the real line, limits, continuity, metric spaces, function spaces, some uniformity concepts. On Demand
Special studies and/or research in mathematics for individuals or small seminar groups. Course content to be arranged with instructor and with approval of the department head. This course may be repeated for a maximum of nine credits.