MA 021. Beginning Algebra
(Class 4)
(Credit: One unit for admission.)
MA 031. Geometry
(Class 4)
(Credit: One unit for admission.)
MA 041. Intermediate Algebra
(Class 3, Cr. 0)
The purposes of this course are to strengthen and expand the students basic algebraic skills and problem-solving capabilities and to prepare them for higher level mathematics courses.
MA 091. Professional Practice I
(Class 0, Cr. 0)
Prerequisites: Approval of the departmental cooperative education coordinator.
MA 092. Professional Practice II
(Class 0, Cr. 0)
Prerequisites: MA 091 Approval of the departmental cooperative education coordinator.
MA 093. Professional Practice III
(Class 0, Cr. 0)
Prerequisites: MA 092 Approval of the departmental cooperative education coordinator.
MA 094. Professional Practice IV
(Class 0, Cr. 0)
Prerequisites: MA 093 Approval of the departmental cooperative education coordinator.
MA 095. Professional Practice V
(Class 0, Cr. 0)
Prerequisites: MA 094 Approval of the departmental cooperative education coordinator.
MA 100. An Introduction To Mathematical Sciences
(Class 1, Cr. 1)
Prerequisites: none.
This course is intended to: integrate freshman mathematics majors into the department, help them adjust to university life, assist them in developing their academic and intellectual capabilities; introduces them to contemporary issues in mathematics, provide an overview of the careers open to those with degrees in mathematics. This course must be taken Pass/No Pass only. Credit by exam is not available for this course.
MA 137. Mathematics For Elementary Teachers I
(Class 3, Cr. 3)
(Not open to students with credit in MA 135.)
Numeration, Whole number systems, Fractional number systems. Problem solving and real world applications. Use of computers or graphing calculators for problem solving will be required.
MA 138. Mathematics For Elementary Teachers II
(Class 3, Cr. 3)
Prerequisites: MA 137
(Not open to students with credit in MA 136.)
This course continues the study of number systems through integers, rational numbers, and real numbers. Elementary statistics and probability based on a quantitative literacy approach.
MA 139. Mathematics For Elementary Teachers III
(Class 3, Cr. 3)
Prerequisites: MA 137
Geometry and measurement concepts and relations as background for geometry, spatial sense, measurement components of the elementary school mathematics curriculum. Metric and non-metric geometry, transformation geometry, measurement in general and specific systems including the metric system, estimation. Use of computer software will be required throughout the course.
MA 147. Algebra And Trigonometry For Technology
(Class 3, Cr. 3)
Prerequisites: MA 113
(Not open to students with credit in MA 151 or 153.)
MA 147 and 148 is a two semester sequence in algebra and trigonometry for students in technology. The emphasis is on technique and problem solving. MA147 concentrates on topics in algebra.
MA 148. Algebra And Trigonometry For Technology II
(Class 3, Cr. 3)
Prerequisites: MA 147
(Not open to students with credit in MA 151, MA 154, or MA 159.)
Continuation of MA 147. MA 148 concentrates on trigonometry.
MA 153. Algebra And Trigonometry I
(Class 3, Cr. 3)
Prerequisites: MA 113
(Not open to students with credit in MA 147,148, or 151.)
The content of MA 153, 154 is similar to that of MA 159 but the pace and emphasis is directed to students who do not intend to take MA 163. MA 153 is College Algebra.
MA 154. Algebra And Trigonometry II
(Class 3, Cr. 3)
Prerequisites: MA 153
(Not open to students wit credit in MA 148 or 151.)
Continuation of MA 153. MA 154 is Trigonometry.
MA 159. Algebra And Trigonometry
(Class 5, Cr. 5)
This course is intended for students who meet the requirements for admission to those departments whose curricula require MA 163 but whose background is insufficient for direct placement into MA 163.
MA 163. Integrated Calculus And Analytic Geometry I
(Class 5, Cr. 5)
Prerequisites: MA 159
Topics from plane analytic geometry. Introduction to differentiation and integration. Applications.
MA 164. Integrated Calculus And Analytic Geometry II
(Class 5, Cr. 5)
Prerequisites: MA 163
Continuation of MA 163. Completion of introductory study of topics in plane analytic geometry and the calculus of one variable, infinite series.
MA 214. Linear Algebra And Linear Programming
(Class 3, Cr. 3)
Matrix algebra, systems of equations, topics from discrete mathematics.
MA 221. Calculus For Technology I
(Class 4, Cr. 4)
Prerequisites: MA 148
Not open students with credit in MA 163 or 223.
MA 221, 222 is a two semester sequence in the techniques of calculus for students enrolled in certain technical curricula. MA 221 develops topics from analytic geometry and introduces differentiation and integration and their applications.
MA 222. Calculus For Technology II
(Class 3, Cr. 3)
Prerequisites: MA 221
(Not open to students with credit in MA 224 or 164.)
Covers differentiation and integration of trigonometric, exponential, and logarithmic functions, infinite series, and first-order differential equations.
MA 223. Introductory Analysis I
(Class 3, Cr. 3)
Prerequisites: MA 154
(Not open to students with credit in MA 163 or 221.)
MA 223 and 224 form a two-course sequence and provide an introduction to the differential and integral calculus of one and several variables, and elementary differential equation, with applications to business, behavioral and biological sciences.
MA 224. Introductory Analysis II
(Class 3, Cr. 3)
Prerequisites: MA 223
(Not open to students with credit in MA 164 or 222.)
Continuation of MA 223.
MA 225. Calculus For Business And Mathematics I
(Class 3, Cr. 3)
Functions and Limits. Differentiation and integration of algebraic functions of one variable. Applications of differentiation and integration.
MA 261. Multivariate Calculus
(Class 4, Cr. 4)
Prerequisites: MA 164
Solid analytic geometry, partial differentiation, multiple integrals.
MA 264. Differential Equations
(Class 3, Cr. 3)
Prerequisites: MA 261 Minimum Grade: C
(Not open to students with credit in MA 262.)
A first course in ordinary differential equations. First order differential equations, linear and nonlinear systems of differential equations, and second order differential equations.
MA 265. Linear Algebra
(Class 3, Cr. 3)
Prerequisites: MA 164 Minimum Grade: C
(Not open to students with credit in MA 262.)
An introduction to linear algebra. Systems of linear equations, matrix algebra, vector spaces, determinants, eigenvalues, eigenvectors, diagonalization of matrices, applications.
MA 312. Probability
(Class 3, Cr. 3)
Prerequisites: MA 261 and MA 265
A calculus-based introduction to0 probability theory and stochastic processes. Topics include probability spaces, random variables, distributions, expectation conditional probability, and discrete-state-space Markov chains.
MA 315. Introduction To Abstract Mathematics
(Class 3, Cr. 3)
Prerequisites: MA 164
This course is a bridge from the mainly computational mathematics courses to the upper-level abstract courses. It focuses on the development of students' abilities to construct proofs, examples and counterexamples.
MA 330. Concepts in Geometry
(Class 3, Cr. 3)
Prerequisites: MA 261
Fundamental concepts in geometry. Euclidean, non-Euclidean (including spherical and hyperbolic geometry), and fractal geometry.
MA 348. Discrete Mathematics
(Class 3, Cr. 3)
Prerequisites: MA 265 with C or better
A problem-centered introduction to topics in discrete mathematics including induction, permutations, combinations graphs, recurrence relations and generating functions.
MA 446. Introduction Real Analysis
(Class 3, Cr. 3)
Prerequisites: MA 265 and MA 315
an introduction to basic concepts of real analysis. Topology of the real line, sequences, series, and various forms of convergence. Applications to derivatives and integrals.
MA 453. Elements Of Algebra
(Class 3, Cr. 3)
Prerequisites: MA 265 and MA 315
The topics discussed are: fundamental properties of groups, rings, integral domains, fields; homomorphisms; Abelian groups and modules.
MA 472. Introduction to Applied Mathematics
(Class 3, Cr. 3)
Prerequisites: MA 265 and MA 264 and CS 206
An introduction to the basic ideas and methods of applied mathematics. Topics taken from elementary partial differential equations, separation of variables and Fourier series, Fourier transforms, calculus of variations, applied linear algebra, numerical methods, modeling.
MA 490. Topics In Mathematics For Undergraduates
(Class 0 to 5, Cr.1 to 5)
Supervised reading and reports in various fields. Open only to students with the consent of the department.
MA 525. Introduction To Complex Analysis
(Class 3, Cr. 3)
Prerequisites: MA 264 or MA 265
Complex numbers and complex-valued functions; differentiation of complex functions; power series, uniform convergence; integration, contour integrals; elementary conformal mapping.
MA 540. Analysis I
(Class 3, Cr. 3)
Prerequisites: MA 446
Real number system, basic topology, infinite series, continuity, differentiation, integration.
MA 541. Analysis II
(Class 3, Cr. 3)
Prerequisites: MA 540
Sequences and series of functions, uniform convergence, equicontinuous families, the Stone-Weierstrass Theorem, Fourier series, introduction to Lebesgue measure and integration.
MA 553. Introduction To Abstract Algebra
(Class 3, Cr. 3)
Prerequisites: MA 453
Basic properties of groups, rings, integral domains, fields, polynomials Solvable groups. Finitely generated abelian groups. Algebraic and transcendental field extensions. Separable extensions. Normal extension, galois theory.
MA 554. Linear Algebra
(Class 3, Cr. 3)
Prerequisites: MA 265 and MA 315
Vector spaces, linear transformations, matrices. Solution of systems of linear equations. Determinant. Inner product spaces; orthogonal reduction of symmetric matrices. Direct sum decompositions, characteristic values, diagonal and nilpotent transformations, Jordan normal form.
MA 556. Introduction To The Theory Of Numbers
(Class 3, Cr. 3)
Prerequisites: MA 261
Divisibility, congruences, quadratic residues, diophantine equations, the sequence of primes.
MA 560. Fundamental Concepts Of Geometry
(Class 3, Cr. 3)
Prerequisites: MA 261
Foundations of Euclidean geometry, including Euclid's elements and detailed study of an axiom system such as that of Hilbert. Independence of the parallel axiom and introduction to non-Euclidean geometry.
MA 571. Elementary Topology
(Class 3, Cr. 3)
Prerequisites: MA 446
General topological spaces and continuity. Connectedness. Separation. Compactness. Metric spaces. Function spaces.
MA 581. Introduction To Logic For Teachers
(Class 3, Cr. 3)
Prerequisites: MA 262
Sentential and general theory of inference and nature of proof; elementary axiom systems.
MA 583. History Of Elementary Mathematics
(Class 3, Cr. 3)
A survey of elementary mathematics before calculus. will be made to link the history of mathematics to that of other sciences and to the social history of the relevant periods. Some acquaintance with ancient history of Europe is desirable.
MA 587. General Set Theory
(Class 3, Cr. 3)
Prerequisites: MA 453 or MA 550
Set algebra. Functions and relations. Ordering relations. Transfinite induction. Cardinal and ordinal numbers. The axiom of choice. Maximal principles. The continuum hypothesis. Application to algebra, analysis and topology.
MA 598. Topics In Mathematics
(Class 0 to 5, Cr. 1 to 5)
Directed study and reports for students who wish to undertake individual reading and study on approved topics.
