## Mathematics Courses

**Mathematics courses are offered in the following areas**

**Science/Mathematics (SM) courses**

### Mathematics (MA) courses

**MA 100 Intermediate Algebra.** (3)** **

Designed for students who did not take two years of high school algebra, all entering freshmen with an ACT Mathematics subtest score of 16 or below, or for mature students who are returning to school and who have not taken an algebra course in several years. Real number arithmetic, solving linear equations and inequalities in one variable, graphing linear equations in two variables, polynomial arithmetic, factoring, rational expressions.

This course cannot be used to satisfy graduation requirements.

**MA 111 Modern Elementary Mathematics I.** (3)** **

Students must score 70% or above on arithmetic test given first class meeting. Two other opportunities will be given to make the requisite score later in the semester. Required of all majors in elementary or special education. Sets, whole numbers, functions, logic, numeration and computation, number theory, integers, fractions, rational numbers, decimals, real numbers.

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**MA 112 Modern Elementary Mathematics II.** (3))

Required of all majors in elementary or special education. Statistics, probability, measurement, informal geometry including congruence, constructions, similarity, transformations, and coordinate geometry.

**MA 113 College Algebra.** (3)

Prerequisite: ACT math subscore of 19 or higher, or MA 100 with grade of C or better (effective January 2010).

Equations, inequalities, functions and their graphs, inverse functions, polynomials, zeros of polynomials, exponentials and logarithms, systems of equations, systems of inequalities.

**MA 114 Plane Trigonometry**. (3)

Prerequisite: ACT math subscore of 22 or higher, or MA 113 with a grade of C or better.

Right triangle trigonometry, trigonometric and inverse trigonometric functions and their graphs, analytic trigonometry and applications.

**MA 123 Statistics.** (3)

An introduction to basic applications of descriptive and inferential statistics: organizing data, mean, median and mode, and standard deviation, boxplots, probability and discrete random variables, the binomial distribution, the normal distribution, sampling distribution of the mean, confidence intervals and hypothesis tests for one population mean, the chi-square distribution.

**MA 130 Precalculus. **(3)

Prerequisite: ACT math subscore of 22 or higher, or MA 113 with a grade of C or better.

This course will cover functions and their graphs, including polynomial and rational functions, trigonometric functions, and exponential and logarithmic functions; systems of equations; and sequences and series. Emphasis will be placed on knowledge, skills, and techniques needed in higher level mathematics courses such as Calculus I.

**MA 150 Survey of Calculus. **(3)

Prerequisite: ACT math subscore of 22 or higher, or MA 113 with a grade of C or better.

The basic concepts of differential and integral calculus with an emphasis on applications in business, life sciences, and social sciences. (This course does not substitute for MA 181 Calculus I.)

**MA 181 Calculus I.** (3)

Prerequisites: ACT math subscore of 24 or higher, or MA 113 and MA 114 with grades of C or better, or MA130 with grade of C or better.

A thorough treatment of differential calculus including the concepts of limits, continuity, derivatives, and applications of derivatives.

**MA 182 Calculus II.** (3)

Prerequisite: MA 181

A thorough treatment of integral calculus including Riemann sums, applications of integrals, and techniques of integration, as well as the calculus of transcendental functions.

**MA 283 Calculus III.** (3)

Prerequisite: MA 182

Sequences and series, conic sections, parameterized curves, polar equations, functions of several variables, partial derivatives, and multiple integration.

**MA 284 Calculus IV.** (3)

Prerequisite: MA 283

Vectors in the plane and in space, vector-valued functions, directional derivatives and gradients, extreme values and Lagrange multipliers, and integration in vector fields, including Green's Theorem, Stokes' Theorem, and the Divergence Theorem.

**MA 298 Independent Study. **(1-3)

Prerequisites: MA 181 and permission of the Sciences and Mathematics Department Chair.

A faculty supervised course for math majors. It may meet as a class or it may be conducted as faculty-supervised research or as a reading course. May be repeated for a maximum of six hours.

**MA 301 Concepts of Abstract Mathematics.** (3)

Prerequisite: MA 181.

Logic, sets, proof techniques, relations, functions, and real number systems

**MA 303 Modern Geometry.** (3)

Prerequisite: MA 301.

Euclid's axioms, incidence geometry, logic, Hilbert's axioms, neutral geometry, history of the parallel postulate, non-Euclidean geometry and its philosophical implications.

**MA 304 Modern Algebra.** (3)

Prerequisite: MA 301.

A writing course with an emphasis on proofs. Groups, rings and fields.

**MA 305 Linear Algebra.** (3)

Prerequisite: MA 182.

Systems of linear equations, vectors, matrices, vector spaces, linear transformations, determinants, eigenvalues and eigenvectors, and applications.

**MA 306 Differential Equations**. (3)

Prerequisite: MA 181, MA 182, and MA 283. Corequisite: MA 284.

First-order linear and separable equations, second-order homogeneous and non-homogeneous equations, first-order systems, and Laplace transforms. Analytic, qualitative, and numerical techniques are used when appropriate.

**MA 310 Probability and Statistics. **(3)

Prerequisite: MA 283.

Probability, basic combinatorics, independence, discrete and continuous random variables, probability distributions, probability densities, expected values, joint random variables, introductory descriptive and inferential statistics.

**MA 312 Discrete Mathematics. **(3)

Prerequisite: MA 301.

Fundamental topics within discrete mathematics including permutations, combinations, binomial theorem, inclusion-exclusion, mathematical induction, recursion, iteration, relations, functions, and other selected topics.

**MA 318 Mathematics for Secondary School Teachers. **(3)

Prerequisite: MA 113 and one additional mathematics course numbered above MA 113.

To prepare education majors to teach mathematics at the middle school or secondary level, this problem-based course will examine topics from the secondary school mathematics framework from an advanced perspective. This course is required for the mathematics secondary education major and cannot be used as an upper-level elective for the mathematics major or mathematics minor.

**MA 319 Materials and Methods in the Teaching of Secondary Mathematics**. (3)

Prerequisite: Admission to Teacher Education Program.

Required of all mathematics majors who will be licensed in secondary mathematics. Brief history of mathematics, objectives of the teaching of mathematics, consideration of topics that are or should be included in mathematics courses for junior and senior high school, a survey of instruction and technology in mathematics, and the use of these teaching techniques in specific teaching-learning activities. A minimum of ten hours of field experience beyond observation is required. This course is required for the mathematics secondary education major and cannot be used as an upper-level elective for the mathematics major or mathematics minor.

**MA 441 Numerical Analysis. **(3)

Prerequisites: MA 305, 306 and proficiency with a computer programming language.

Selected topics from numerical solutions of equations, interpolation, approximation, numerical differentiation, numerical solution of systems of equations, and numerical solutions of differential equations.

**MA 451 Mathematical Statistics.** (3)

Prerequisite: MA 310.

Theory and applications of sampling distributions, point estimation, interval estimation, hypothesis testing, regression, correlation, analysis of variance, nonparametric tests.

**MA 454 Foundations of Mathematics. **(3)

Prerequisites: MA 182 and MA 301.

Predicate calculus, first order logic, Godel's completeness theorem for first-order logic, Turing machines, discussion of Godel's first incompleteness theorem, axiomatic systems for different number systems, for groups and for set theory.

**MA 455 Advanced Calculus I.** (3)

Prerequisites: MA 284 and 301.

A rigorous treatment of the concepts from calculus: ordering the real numbers, sequence limits, completeness of the real numbers, continuity and its consequences, uniform continuity, the derivative, chain rule, Cauchy's law of the mean, Taylor's formula with remainder, L'Hopital's rule, Riemann integrals, integrability of continuous functions, products of integrable functions, improper integrals.

**MA 457 Complex Analysis.** (3)

Prerequisites: MA 284 and 301.

Introduction to functions of a single complex variable, which includes the complex number system, analytic functions, contour integrals, calculus of residues, conformal mappings, and applications.

**MA 459 Theory of Numbers.** (3)

Prerequisite: MA 301.

Properties of integers, properties of primes, divisibility, Euclidean algorithm, Diophantine equations, Chinese remainder theorem, Wilson's theorem, Euler's theorem, multiplicative functions, quadratic residues, applications, other selected topics.

**MA 460 Special Topics in Mathematics. **(3)

May be repeated once (3-3). Prerequisite: permission of the Sciences and Mathematics Department Chair.

This course will provide students with an opportunity to study areas of mathematics not available as a separate course.

**MA 461 General Topology.** (3)

Prerequisites: MA 284 and MA 301.

Set theory and logic, topological spaces and continuous functions, convergence, completeness, compactness, metric spaces, product and quotient topology, countability and separation axioms.

### Science/Mathematics (SM) courses

**SM 100 Science/Mathematics Seminar.** (0)

Pass/No Credit

Open only to Science and Mathematics majors.

Students will be exposed to a variety of research approaches, experiences, and career opportunities enabling them to gain a greater understanding of professional involvement in Science and Mathematics. Students majoring in all Science programs are required to pass four (4) semesters of SM 100 for graduation, except for transfer students with 60 or more transfer hours who are required to pass three (3) semesters of SM 100.

**SM 101 Environmental Science I.** (4)

Lecture and laboratory. Prerequisites: MA 113 or higher (not MA 123) or demonstrated proficiency in math.

An introductory course covering global and local topics in environmental science. Fundamental concepts in biology, physics, chemistry, and geology will be examined and applied to contemporary and historical environmental problems so that the student can synthesize the body of knowledge necessary to understand environmental issues.

**SM 102 Environmental Science II.** (4)

Lecture and laboratory. Prerequisites: SM 101; MA 113 or higher (not MA 123) or demonstrated proficiency in math.

An introductory course continuing the examination of global and local topics in environmental science begun in SM 101. Emphasis will be given to critical analysis of specific problems and to understanding the models used to investigate these problems.

**SM 125 Fortran.** (3)

Lecture. Prerequisite: MA 113.

This course will teach problem-solving methods using Fortran. Application will be made to problems in various fields but mathematical and scientific problems are stressed.

**SM 135 Programming in C++.** (3)

Lecture. Prerequisite: MA 113.

Problem-solving methods and algorithm development using the computer programming language C++. Emphasis on scientific and mathematical applications.

**SM 295 Topics in Mathematics for Teachers. **(1-3)

Prerequisite: Permission of Sciences and Mathematics Department Chair.

In-depth content on selected mathematical topics, including their relation and application to the classroom. This course is primarily intended for in-service teachers. May be repeated for a maximum of 6 hours credit.

**SM 297 Topics in Science for Teachers. **(1-3)

Lecture. Prerequisite: Permission of Sciences and Mathematics Department Chair.

In-depth content on selected science topics, including their relation and application to the classroom. This course is primarily intended for in-service teachers. May be repeated for a maximum of 6 hours credit.