Course Descriptions and Current Course Syllabi
130A Fundamentals of Mathematics I (3-2). Fundamental operations involving whole numbers and fractions; decimals and percents; ratio and proportion; interpretation of graphs; metric and nonmetric geometry; counting; combinations and permutations; introduction to algebra. (Laboratory activities will supplement classroom instruction.)130B Fundamentals of Mathematics II (3-2). Axioms and properties of the real number system; fundamental operations involving algebraic expressions; first degree equations and inequalities in one unknown; products and factoring; algebraic fractions; exponents and radicals; quadratic equations; functions and graphs; systems of equations; applications. (Laboratory activities will supplement classroom instruction.)
1302 College Algebra (3-0). Exponents and radicals, logarithms, factoring, algebraic quotients, systems of equations, inequalities, absolute value, complex numbers, quadratic equations, binomial theorem, progressions, theory of equations, and determinants.
Prerequisite: Mathematics 130B or equivalent, or an acceptable score on the mathematics section of the ACT or the quantitative section of the SAT I.
1303 Plane Trigonometry (3-0). Trigonometric functions, radian measure, logarithms, solutions of triangles, functions of composite angles, identities, trigonometric equations, and complex numbers.
Prerequisite: Mathematics 130B or equivalent, or an acceptable score on the mathematics section of the ACT or the quantitative section of the SAT I.
1311 Mathematics for Business I (3-0). Review of algebra, business mathematics, mathematics of finance, matrix theory, and linear programming.
Prerequisite: Mathematics 130B or equivalent, or an acceptable score on the mathematics section of the ACT or the quantitative section of the SAT I.
1312 Mathematics for Business II (3-0). Set theory, counting techniques and probability, random variables and distribution functions, and differential and integral calculus.
Prerequisite: Mathematics 1302 or 1311.
1321 Analytic Geometry (3-0). Coordinate systems, translations, rotations, lines, circles, conics, parametric equations, and elementary three-dimensional geometry.
Prerequisites: Mathematics 1302, 1303; or equivalent.
1332 Introduction to Contemporary Mathematics (3-0). A course designed for liberal arts and other non-mathematics and non-science majors who wish to satisfy the three-hour core curriculum mathematics requirement. Topics include graphs and networks, theory of elections and apportionment, statistics, mathematical models.
Prerequisite: Mathematics 130B or equivalent, or an acceptable score on the mathematics section of the ACT or the quantitative section of the SAT I.
1341 Mathematics for Elementary/Middle School Teachers I (2-2). Sets and relations, the system of whole numbers, numeration systems, the system of integers, elementary number theory, fractions and rational numbers, decimals and real numbers. Lab activities will include making and using math manipulatives, comparing different problem solving techniques, making interdisciplinary connections, and experiencing math concepts through auditory, visual, and kinesthetic approaches to inquiry-based activities.
Prerequisite: Mathematics 1302.
1342 Mathematics for Elementary/Middle School Teachers II (2-2). Decimals and real numbers, nonmetric geometry, metric geometry, measurement, graphs, probability and statistics. Lab activities will include making and using math manipulatives, comparing different problem solving techniques, making interdisciplinary connections, and experiencing math concepts through auditory, visual, and kinesthetic approaches to inquiry-based activities.
Prerequisite: Mathematics 1341.
1361 Precalculus I (3-0). An intensive overview of the algebraic concepts needed for calculus, including algebraic expressions, equations and inequalities, complex numbers, polynomials, rational functions, exponential and logarithmic functions, inverse functions, systems of equations and inequalities, matrices, sequences and series, binomial theorem.
Prerequisite: Mathematics 1302 with a grade of C or better, or a score of 26 or higher on the mathematics section of the ACT, or a score of 580 or higher on the mathematics section of the SAT I, or equivalent.
1362 Precalculus II (3-0). A survey of topics from trigonometry and analytic geometry, including trigonometric functions, graphs, identities, and equations; trigonometric form of complex numbers; powers and roots of complex numbers; parabolas, ellipses, hyperbolas; parametric equations; polar coordinates; applications.
Prerequisite: Mathematics 1361 or equivalent.
2331 Calculus I (3-0). Differential calculus for functions of one variable including a study of limits, continuity, derivatives of different classes of functions, maxima and minima, concavity, related rates, and optimization problems.
Prerequisites: Mathematics 1361 and 1362, or equivalent.
2332 Calculus II (3-0). Introduction to the (Riemann) integral and the relationship between the derivative and integral; techniques for evaluating integrals using the fundamental theorem of calculus; applications of the integral to physical and geometrical problems.
Prerequisite: Mathematics 2331.
3300 Introduction to Abstract Mathematics (3-0). Logic, set operations, equivalence relations, properties of the real number system, cardinality of sets, and related topics, with an emphasis throughout on developing the necessary skills to read and construct formal mathematical arguments. To ensure timely progress toward the degree, this course should be taken as soon as possible after completion of Mathematics 2331.
Prerequisite: Mathematics 2331 or equivalent.
3301 Linear Algebra (3-0). The algebra and geometry of finite dimensional vector spaces; determinants; linear transformations and matrices; characteristic values and vectors of linear transformations.
Prerequisite: Mathematics 2331.
3307 Probability and Statistics I (3-0). Mathematical models of random events; probability spaces; random variables; dependence and independence; mean values and moments of random variables; distribution functions, and characteristic functions.
Prerequisite: Mathematics 3333.
3310 Introduction to Problem Solving (3-0). Designed to help the student develop analytical skills through exposure to a variety of problem solving techniques utilizing algebra, geometry, trigonometry, and other areas of precalculus mathematics. Includes graphing calculator and instructional software applications. For students pursuing secondary or middle school teacher certification in mathematics. To ensure timely progress toward the degree, this course should be taken as soon as the prerequisites have been completed.
Prerequisites: Mathematics 1361 and 1362; or Mathematics 1302, 1303, and 1321; or equivalent. (Formerly MATH 2302)
3311 Elementary Number Theory (3-0). Tests for divisibility, unique factorization, integer representations, greatest common divisors, least common multiples, congruences, and the distribution of primes.
Prerequisites: Mathematics 1302, 1341, and 1342.
3313 The Evolution of Mathematics (3-0). Historical development of selected mathematical concepts, terminology and algorithms; impact of mathematics on the development of our culture.
Prerequisites: Mathematics 1302, 1341, and 1342.
3321 Statistics (3-0). A survey of basic statistical methods, including distributions, central tendency, variability, hypothesis testing and correlation; brief introduction to sampling techniques and nonparametric methods. For nursing students.
Prerequisite: Mathematics 130B or equivalent, or an acceptable score on the mathematics section of the ACT or the quantitative section of the SAT I.
3323 Exploring Middle School Mathematics (3-0). Mathematical reasoning and problem solving; numerical systems, structure, operations, and algorithms; patterns, relations and functions, algebraic concepts and applications; geometry, measurement, and spatial reasoning; probability and statistics. Graphing calculators and other supporting technologies will be incorporated where appropriate. For students pursuing middle school certification in mathematics.
Prerequisites: Mathematics 1312, 1321, 3310, 3311, and 3321; 2.50 GPA, with no grade lower than C in all required mathematics courses attempted, cumulative and in residence. Concurrent registration in Mathematics 3311 or 3321 may be permitted in special circumstances with consent of instructor.
3333 Calculus III (3-0). Multivariate calculus and applications; indeterminate forms, multiple integrals, infinite series, and approximation techniques.
Prerequisite: Mathematics 2332.
3335 Differential Equations (3-0). Solution of differential equations, with geometric and physical applications.
Prerequisite: Mathematics 3333, or Mathematics 2332 with consent of instructor.
4301 Abstract Algebra (3-0). Elementary number theory including integer congruences and modular arithmetic, equivalence relations, basic topics in ring and group theory including the fundamental homorphism theorems, structure and basic properties of fields.
Prerequisite: Mathematics 3300 or 3310; Mathematics 3301.
4311 Numerical Analysis (3-0). Number representations, error analysis; roots of equations; numerical integration, approximation, and differentiation; systems of equations; approximation by spline functions; ordinary differential equations; Monte Carlo methods and simulation.
Prerequisites: Mathematics 3333 and Computer Science 2301.
4321 College Geometry (3-0). A study of Euclidean, non-Euclidean, and transformational geometry. For students seeking middle school or secondary school teacher certification in mathematics.
Prerequisites: Mathematics 1361 and 1362; or Mathematics 1302, 1303, and 1321; or equivalent.
4322 A Survey of Mathematics with Applications (3-0). Logic and set theory, algebraic and transcendental functions, inverse functions, limits, the derivative and integral, sequences and series, linear systems, vectors, geometry, probability and statistics. Emphasis on applications utilizing the graphics calculator.
Prerequisites: Mathematics 3301, 3333, and 3307; 2.50 GPA, with no grade lower than C in all required mathematics courses attempted, cumulative and in residence. Mathematics 3307 and 4322 may be taken concurrently.
4331 Analysis (3-0). The real and complex number systems, Euclidean spaces, countable and uncountable sets, metric spaces, compactness, convergent sequences, Cauchy sequences, limits and continuity, uniform continuity, the derivative, the Riemann-Stieltjes integral, sequences and series of functions, uniform convergence.
Prerequisites: Mathematics 3300 or 3310; Mathematics 3301, 3333.
4351 Topology (3-0). Sets and functions, metric spaces, topological spaces, compactness, separation, connectedness, approximation.
Prerequisites: Mathematics 3300 or 3310; Mathematics 3301, 3333.
4361 Complex Variables (3-0). Complex numbers, analytic functions, complex integration, power series, residues, conformal mapping, and applications.
Prerequisite: Mathematics 3333.
4391 Research. Individual research problems. (May be repeated to a total of six semester hours credit.)
Prerequisite: Junior standing.