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2023-2024 Catalog [ARCHIVED CATALOG]
All Mathematics Courses
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Return to: Mathematics
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Mathematics
MATH 95 - Pre-Algebra Skills
3 Credit(s)
Numeration, operations on whole numbers, factoring, prime numbers, arithmetic operations, decimal numerals, percent, measures, ratios and proportion, and averages. Course is graded on an S/U basis and does not provide credit toward bachelor’s degrees.
MATH 97 - Basic Algebra Skills
3 Credit(s)
The content of this course focuses on linear equations, linear inequalities, linear functions, linear graphs, and applications. Also included are reviews of rational numbers, exponents, powers, and scientific notation. Non-linear functions are introduced. All topics are approached from multiple directions integrating basic skills, word problems, practical applications, modeling, and calculator use. Course is graded on an S/U basis and does not provide credit towards Bachelor’s or Associate’s degrees.
Prerequisite(s):
MATH 95 Minimum Grade: S or T
OR
ACT Math - Minimum Score: 13
OR
SAT Math - Minimum Score: 500
MATH 99 - Intermediate Algebra
3 Credit(s)
This course covers a review of linear equations, inequalities, functions, and graphs, as well as systems of linear equations before moving on to focus on quadratic equations, functions, and graphs. In addition, students will receive an introduction to powers, radicals, exponential functions and logarithms. Course is graded on a pass/fail basis and does not provide credit towards Bachelor’s or Associates degrees.
Prerequisite(s):
MATH 97 Minimum Grade: S-C or T
OR
ACT Math - Minimum Score: 19
OR
SAT Math - Minimum Score: 460
OR
SAT Math Section Score - Minimum Score: 500
MATH 104 - Finite Mathematics GT-MA1
3 Credit(s)
Topics covered include functions and their graphs, matrices, linear programming, probability, and descriptive statistics. Applications are presented from the areas of biology, business, behavioral sciences, economics, and the social sciences.
Prerequisite(s):
MATH 97 Minimum Grade: S-C or T
OR
MATH 99 Minimum Grade: S-C or T
OR
SAT Math - Minimum Score: 460
OR
SAT Math Section Score - Minimum Score: 500
OR
ACT Math - Minimum Score: 19
MATH 106 - College Algebra GT-MA1
3 Credit(s)
An introduction to the basic techniques of algebra. Topics include functions (linear, quadratic, polynomial, root, rational, exponential, and logarithmic), systems of equations, matrix algebra, inequalities, and complex numbers. Optional topics include partial fractions, synthetic division, mathematical induction, sequences and series, and counting principles.
Prerequisite(s):
MATH 99 Minimum Grade: S or S-C or T
OR
ACT Math - Minimum Score: 22
OR
SAT Math - Minimum Score: 560
OR
SAT Math Section Score - Minimum Score: 580
MATH 107 - Trig/ Analytic Geometry GT-MA1
3 Credit(s)
An introduction to the tools and techniques of trigonometry. Topics include angles and their measures, the six trigonometric functions and their properties, inverse trigonometric functions, graphs, identities including the Law of Sines and the Law Cosines, trigonometric equations, and solving triangles. Optional topics include complex numbers, De Moivre’s Theorem, polar coordinates, and analytic geometry.
Prerequisite(s):
MATH 106 Minimum Grade: C- or T
OR
ACT Math - Minimum Score: 25
OR
SAT Math - Minimum Score: 600
MATH 110 - Intro to Statistics, GT-MA1
3 Credit(s)
Topics covered include sampling methods, types of random variables and parameters, descriptive statistics (such as 5-number summary, mean, standard deviation), data presentations (such as bar charts, histograms), introductory probability, standard normal and t distributions, z scores, hypothesis testing, confidence intervals, types of errors, and regression and correlation. Optional topics include chi-squared and probability distributions (such as binomial and geometric). Class periods will often be scheduled in a computer lab to exhibit calculations using technology. This can include using spreadsheets and statistics software packages. Students will be expected to write their conclusions, describe what the statistics tell us, and identify limitations and/ or problems with their conclusions.
Prerequisite(s):
MATH 95 Minimum Grade: S or S-C or T and ENG 102 Minimum Grade: C or T
OR
MATH 97 Minimum Grade: S or S-C or T
OR
ACT Math - Minimum Score: 19
OR
SAT Math - Minimum Score: 460
OR
SAT Math Section Score - Minimum Score: 500
MATH 120 - Calculus I GT-MA1
5 Credit(s)
An introduction to the calculus of functions of one real variable. Topics include limits, continuity, derivatives, graphing techniques, optimization, related rates, Newton’s method, indeterminate forms and L’Hopital’s rule, antiderivatives, the definite integral, and the Fundamental Theorem of Calculus.
Prerequisite(s):
MATH 107 Minimum Grade: C or T
OR
ACT Math - Minimum Score: 26
OR
SAT Math - Minimum Score: 600
OR
SAT Math Section Score - Minimum Score: 620
MATH 121 - Calculus II GT-MA1
5 Credit(s)
A continuation of the calculus of functions of one real variable. Topics include integration, application of the definite integral, techniques of integration, improper integrals, arc length, surface area, volume, infinite series, and Taylor series.
Prerequisite(s):
MATH 120 Minimum Grade: C- OR MATH 120 Minimum Grade: T
MATH 140 - Geometry Using Technology
3 Credit(s)
An introduction to the major concepts of Euclidean Geometry using interactive geometric visualization software such as Geometer’s Sketchpad, Kig, or C.a.R. Students will use the software to survey Euclidean Geometry and discover basic principles and theorems.
Prerequisite(s):
ACT Math - Minimum Score: 19 OR Accuplacer - Math - Minimum Score: 085 OR MATH 99 Minimum Grade: S OR MATH 99 Minimum Grade: T
MATH 179 - Special Topics
1 to 5 Credit(s)
Offered periodically to meet student special interests in the field.
MATH 192 - Workshop
1 to 4 Credit(s)
Short courses offered on an intermittent basis to meet the needs of special constituents.
MATH 199 - Individual Studies
1 to 5 Credit(s)
Provides opportunity for individual research/study into problems of special interest in the field. By faculty permission and approval of the department chair.
MATH 205 - Intro to Statistical Methods
3 Credit(s)
Basic techniques of applied statistics, including data organization and presentation, experiment design, calculating statistical measures, choosing, applying, and interpreting statistical tests, correlation and regression, and software utilization.
Prerequisite(s):
MATH 104 Minimum Grade: C OR MATH 104 Minimum Grade: C OR MATH 104 Minimum Grade: T OR MATH 106 Minimum Grade: C OR MATH 106 Minimum Grade: C OR MATH 106 Minimum Grade: T OR MATH 107 Minimum Grade: C OR MATH 107 Minimum Grade: C OR MATH 107 Minimum Grade: T OR MATH 120 Minimum Grade: C OR MATH 120 Minimum Grade: T OR Math Placement Test - Minimum Score: 4
MATH 220 - Calculus III
4 Credit(s)
This course is an introduction to the calculus of functions of several variables. Typical topics include three-dimensional analytic geometry, vectors, parametric curves and surfaces, arc length and curvature, limits, continuity, partial derivatives, gradients, directional derivatives, tangent planes, multiple integrals, vector fields, line and surface integrals, Green’s theorem, Stokes’ Theorem, and the divergence theorem.
Prerequisite(s):
MATH 121 Minimum Grade: C- OR MATH 121 Minimum Grade: T
MATH 230 - Excursions in Mathematics
3 Credit(s)
A quantitative and qualitative exploration of some of the great ideas and methods of mathematics. The main focus is on critical thinking and problem solving, as well as mathematical communication. Topics covered include infinity, logic, probability, statistics, Fibonacci numbers, the golden ratio, topology, non-Euclidean geometry, graphs, Pascal’s triangle, tiling, fractals, voting theory chaos, and higher dimensions.
Prerequisite(s):
MATH 107 Minimum Grade: C- OR MATH 107 Minimum Grade: T OR MATH 120 Minimum Grade: C- OR MATH 120 Minimum Grade: T
MATH 236 - Research in Mathematics
1 Credit(s)
An independent research course. The student will work with a professor on a research project either designed by the student or the professor. The student’s research must result in a paper and a presentation before a group of peers and professors.
Prerequisite(s):
MATH 121 Minimum Grade: C- OR MATH 121 Minimum Grade: T
MATH 250 - Intro to Mathematical Thought
3 Credit(s)
This course looks at topics central to further study in mathematics. These include symbolic logic, especially as it applies to mathematical proof; methods of mathematical proof such as direct proof, indirect proof, and by induction; use and meaning of mathematical quantifiers and predicates; sets; relations; equivalence relations and partitions; order relations; and functions and their properties.
Prerequisite(s):
MATH 120 Minimum Grade: C- OR MATH 120 Minimum Grade: T
MATH 279 - Special Topics
1 to 5 Credit(s)
Offered periodically to meet student special interests in the field.
MATH 292 - Workshop
1 to 4 Credit(s)
Short courses offered on an intermittent basis to meet the needs of special constituents
MATH 299 - Individual Studies
1 to 5 Credit(s)
Provides opportunity for individual research/study into problems of special interest in the field. By faculty permission and approval of the department chair.
MATH 321 - Linear Algebra
3 Credit(s)
An introduction to linear algebra. Typical topics include solutions of systems of linear equations, matrix algebra, determinants, vector spaces, linear independence, span, basis, dimension, coordinates, linear transformations, matrix representations of linear transformations, eigenvalues, eigenvectors, diagonalization, Gram-Schmidt orthonormalization projection, and applications.
Prerequisite(s):
MATH 121 Minimum Grade: C- OR MATH 121 Minimum Grade: T
MATH 322 - Algebraic Structures I
3 Credit(s)
An introduction to the theory of groups. Typical topics include sets, mappings, binary operations, equivalence relations, partitions, the integers, induction, the well-ordering property, elementary number theory, cryptography, coding theory, groups (permutation groups, symmetry groups, matrix groups, and cyclic groups),subgroups, cosets, Lagrange’s theorem, normal subgroups, homomorphisms, isomorphisms, Cayley’s theorem, and isomorphism theorems.
Prerequisite(s):
(MATH 250 Minimum Grade: C- OR MATH 250 Minimum Grade: T) AND (MATH 321 Minimum Grade: C- OR MATH 321 Minimum Grade: T)
MATH 323 - Algebraic Structures II
3 Credit(s)
An introduction to the theory of rings and fields. Typical topics include rings, ideals, integral domains, fields, ring homomorphisms, quotient rings, polynomial rings, division algorithms, factorization of polynomials, extensions of fields, finite fields, and Galois theory.
Prerequisite(s):
MATH 322 Minimum Grade: C- OR MATH 322 Minimum Grade: T
MATH 326 - Mathematical Modeling and Simulation I
3 Credit(s)
This course teaches students how to apply mathematical modeling processes, methodology and software toolsets to solve realistic and complex problems, as well as to program and perform computer simulations of mathematical models.
Prerequisite(s):
(MATH 220 Minimum Grade: C- OR MATH 220 Minimum Grade: T OR MATH 121 Minimum Grade: C- OR MATH 121 Minimum Grade: T) AND (CSCI 104 Minimum Grade: C- OR CSCI 104 Minimum Grade: T OR CSCI 202 Minimum Grade: C- OR CSCI 202 Minimum Grade: T OR CSCI 205 Minimum Grade: C- OR CSCI 205 Minimum Grade: T)
MATH 327 - Differential Equations
3 Credit(s)
An introduction to the study and application of ordinary differential equations. Typical topics include first order differential equations, linear differential equations, systems of equations, existence and uniqueness of solutions, bifurcations, the Laplace transform, matrix methods, and stability theorems.
Prerequisite(s):
MATH 121 Minimum Grade: C- OR MATH 121 Minimum Grade: T
MATH 330 - Numerical Analysis
3 Credit(s)
Numerical methods for the solution of mathematical problems and computer application of those methods. Typical topics include the bisection algorithm, fixed point iteration, interpolation, polynomial approximation, numerical differentiation and integration, solution of systems of linear equations, least squares approximation, and error analysis.
Prerequisite(s):
MATH 121 Minimum Grade: C- or T
AND
CSCI 202 Minimum Grade: C- or T OR CSCI 205 Minimum Grade: C- or T
MATH 331 - Modern Geometry
3 Credit(s)
An introduction to plane geometry intended for future teachers of mathematics. Typical topics include deductive reasoning and the axiomatic method, Euclidean geometry, parallelism, hyperbolic and other non-Euclidean geometries.
Prerequisite(s):
(MATH 121 Minimum Grade: C- OR MATH 121 Minimum Grade: T) AND (MATH 250 Minimum Grade: C- OR MATH 250 Minimum Grade: T)
MATH 335 - History of Mathematics
3 Credit(s)
This course traces the historical development of mathematics from ancient to modern times, placing mathematical facts into a meaningful intellectual and historical context. Typical topics include mathematics in early civilization such as Egypt and Babylonia; early Greek mathematics from Euclid to Archimedes; the work of Diophantus; mathematics in medieval Islam and its transmission to the Latin West; the early development of algebra; the analytic geometry of Descartes and Fermat; the development of the calculus at the hands of Newton and Leibniz; the contributions of the Bernouilli family; nineteenth-century analysis from Cauchy to Weiestrass; nineteenth-century algebra from Galois through Klein; the development of non-Euclidean geometry; and Cantor’s development in set theory.
Prerequisite(s):
MATH 121 Minimum Grade: C- OR MATH 121 Minimum Grade: T
MATH 340 - Probability and Statistics
3 Credit(s)
A mathematically oriented introductory course in probability and statistics. Typical topics include counting techniques and laws of probability, independence, discrete and continuous random variable, distributions (normal, t, chi, square, F, Poisson, exponential, and sampling), regression correlation, confidence intervals and hypothesis testing, mathematical expectation, moment generating functions, the Central Limit Theorem, and point estimation.
Prerequisite(s):
MATH 121 Minimum Grade: C- OR MATH 121 Minimum Grade: T
MATH 379 - Special Topics
1 to 5 Credit(s)
Offered periodically to meet student special interests in the field.
MATH 392 - Workshop
1 to 4 Credit(s)
Short courses offered on an intermittent basis to meet the needs of special constituents.
MATH 399 - Individual Studies
1 to 5 Credit(s)
Provides opportunity for individual research/study into problems of special interest in the field. By faculty permission and approval of the department chair.
MATH 420 - Advanced Analysis I
3 Credit(s)
Rigorous presentation of the fundamental concepts and techniques of real analysis, including a careful study of continuity and convergence, sets and functions, sequences and series, limits and continuity, and differentiation.
Prerequisite(s):
(MATH 220 Minimum Grade: C- OR MATH 220 Minimum Grade: T) AND (MATH 250 Minimum Grade: C- OR MATH 250 Minimum Grade: T)
MATH 421 - Advanced Analysis II
3 Credit(s)
This course is a continuation of MATH 420 with an emphasis on integration, sequences and series of functions, uniform convergence, infinite series, and additional topics of the instructors choosing.
Prerequisite(s):
MATH 420 Minimum Grade: C- OR MATH 420 Minimum Grade: T
MATH 430 - Complex Analysis
3 Credit(s)
Theory of functions of one complex variable, including derivatives, integrals, power series, residues, and conformal mappings.
Prerequisite(s):
MATH 220 Minimum Grade: C- OR MATH 220 Minimum Grade: T
MATH 436 - Research in Mathematics
1 Credit(s)
An independent research course. The student will work with a professor on a research project either designed by the student or the professor. The student’s research must result in a professional quality paper or project and a presentation before a group of peers and professors.
MATH 440 - Topology
3 Credit(s)
This course is an introduction to the theory of point-set topology. The main components of the course will be topological spaces, including product and quotient spaces, continuous functions, local and global connectedness, local and global compactness, countability, separability, and the Tychonoff axioms. The culmination of the course will be in the Tietze extension theorem, Uryson’s Lemma, and Uryson’s Metrization theorem. Further study into Tychonoff axioms and spaces and the Tychonoff theorem will be done, time permitting.
Prerequisite(s):
MATH 250 Minimum Grade: C- OR MATH 250 Minimum Grade: T
MATH 471 - Senior Capstone I
1 Credit(s)
First-semester of a capstone course intended for senior mathematics majors. In this course students will begin the development of a project to be conducted under the guidance of a faculty advisor from the department. In addition, the course will focus on written and oral communication of technical material appropriate to the disciplines of mathematics, computer science, and physics.
Prerequisite(s):
Senior Standing
MATH 472 - Senior Capstone II
1 Credit(s)
Second-semester of a capstone course intended for senior mathematics majors. In this course students will continue the development of an independent project, begun in MATH 471 , and conducted under the guidance of a faculty advisor from the department. In addition, the course will focus on written and oral communication of technical material appropriate to the disciplines of mathematics, computer science, and physics.
Prerequisite(s):
MATH 471 Minimum Grade: C- OR MATH 471 Minimum Grade: T
MATH 479 - Special Topics
1 to 5 Credit(s)
Offered periodically to meet student special interests in the field.
MATH 492 - Workshop
0.5 to 4 Credit(s)
Short courses offered on an intermittent basis to meet the needs of special constituents.
MATH 499 - Individual Studies
1 to 5 Credit(s)
Provides opportunity for individual research/study into problems of special interest in the field. By faculty permission and approval of the department chair.
MATH 579 - Special Topics
1 to 5 Credit(s)
Offered periodically to meet student special interests in the field.
MATH 592 - Workshop
1 to 4 Credit(s)
Short courses offered on an intermittent basis to meet the needs of special constituents.
MATH 599 - Individual Studies
1 to 5 Credit(s)
Provides opportunity for individual research/study into problems of special interest in the field. By faculty permission and approval of the Department Chair.
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