 | | Course ID: | ACAM(MATH) 0097. 3 hours. | | Course Title: | Intermediate Algebra I | Course
Description: | Concepts of fractions, decimals, percents, and signed numbers. Methods for solving first degree equations, systems, and related applications, and graphing linear equations. | | Oasis Title: | INTERMED ALG I | | Nontraditional Format: | This course carries institutional credit and will not count toward graduation. | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | ACAM(MATH) 0098. 3 hours. | | Course Title: | Intermediate Algebra II | Course
Description: | Concepts of factoring, functions, polynomials. Methods for solving second degree and rational equations and related applications. Operations regarding polynomials, exponents, and radicals. | | Oasis Title: | INTERMED ALG II | | Nontraditional Format: | This course carries institutional credit and will not count toward graduation. | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | ACAM(MATH) 0099. 3 hours. | | Course Title: | Introduction to College Algebra | Course
Description: | Concepts of factoring, exponents, polynomials, radicals, fractions, and graphing. Methods for solving equations: rational, first and second degree, absolute value, inequalities, and systems and their related applications. | | Oasis Title: | INTRO COLLEGE ALG | | Nontraditional Format: | This course carries institutional credit and will not count toward graduation. | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | ACAM(MATH) 0099L. 1 hour. 2 hours lab per week. | | Course Title: | Preparation for the Collegiate Placement Exam (CPE) | Course
Description: | Preparation for CPE through review of math fundamentals and
geometry. | | Oasis Title: | PREP FOR CPE | | Nontraditional Format: | This course carries institutional credit and will not count
toward graduation. | | Pre or Corequisite: | ACAM(MATH) 0098 or ACAM(MATH) 0099 | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | S/U (Satisfactory/Unsatisfactory) |
| | | Course ID: | MATH 1060. 3 hours. | | Course Title: | Mathematics of Decision Making | Course
Description: | Applications of modern mathematics to management and decision making including the solution of optimization problems using network theory, methods for optimal scheduling, voting methods, game theory, and related strategies. Applications include planning of postal delivery routes, placement of cable television lines, United States Congressional apportionment, and dispute resolution. | | Oasis Title: | MAT DECISION MAKING | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 1101. 3 hours. | | Course Title: | Introduction to Mathematical Modeling | Course
Description: | Mathematical modeling using graphical, numerical, symbolic, and verbal techniques to describe and explore real-world data and phenomena. The investigation and analysis of applied problems and questions, and of effective communication of quantitative concepts and results. | | Oasis Title: | INTRO MATH MODELING | | Nontraditional Format: | This course is also offered through University System of Georgia Independent Study (USGIS). | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2110. 3 hours. | | Course Title: | Calculus for Economics | Course
Description: | Topics specifically chosen to meet the needs of the student of economics: the definite integral, functions of several variables, partial derivatives, Lagrange multipliers, and matrices. | | Oasis Title: | CALC FOR ECONOMICS | | Duplicate Credit: | Not open to students with credit in MATH 2210, MATH 2210L or MATH 2260 or MATH 2310H or MATH 2410H | | Prerequisite: | MATH 2200 or MATH 2250 | Semester Course
Offered: | Offered fall and spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2200. 4 hours. | | Course Title: | Analytic Geometry and Calculus | Course
Description: | Introductory differential calculus and its applications. Topics
include limits, continuity, differentiability, derivatives of
trigonometric, exponential and logarithmic functions,
optimization, curve sketching, Newton's method, antiderivatives,
differential equations, and applications. | | Oasis Title: | ANALY GEO AND CALC | | Duplicate Credit: | Not open to students with credit in MATH 2300H or MATH 2400H or MATH 2400 | | Nontraditional Format: | This course is also offered through University System of
Georgia Independent and Distance Learning (IDL). | | Prerequisite: | MATH 1113 | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2210. 3 hours. | | Course Title: | Integral Calculus | Course
Description: | Introductory integral calculus and its applications. Topics include Riemann sums, the Riemann integral, the Fundamental Theorem of calculus, techniques of integration, arc length, surface area, volumes, force, work, and an introduction to differential equations. | | Oasis Title: | INTEGRAL CALCULUS | | Duplicate Credit: | Not open to students with credit in MATH 2110 or MATH 2310H or MATH 2410H or MATH 2260 | | Prerequisite: | MATH 2200 or MATH 2300H or MATH 2400H | | Pre or Corequisite: | MATH 2210L | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2210L. 1 hour. 2 hours lab per week. | | Course Title: | Integral Calculus Laboratory | Course
Description: | Computer projects exploring topics related to the course content of Integral Calculus. | | Oasis Title: | INT CALC LAB | | Pre or Corequisite: | MATH 2210 or MATH 2310H or MATH 2410H | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2250. 4 hours. | | Course Title: | Calculus I for Science and Engineering | Course
Description: | Limits, derivatives, differentiation of algebraic and
transcendental functions; linear approximation, curve sketching,
optimization, indeterminate forms. The integral, Fundamental
Theorem of Calculus, areas. Emphasis on science and engineering
applications. | | Oasis Title: | CALC I SCI ENG | | Duplicate Credit: | Not open to students with credit in MATH 2200 or MATH 2300H or MATH 2400H or MATH 2400 | | Prerequisite: | MATH 1113 or permission of department | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2260. 4 hours. | | Course Title: | Calculus II for Science and Engineering | Course
Description: | Vector functions, velocity, acceleration, and physical
applications. Techniques of integration and differential
equations. Applications of integration: arclength, volumes, work,
center of mass; polar coordinates and Kepler's laws. Polynomial
approximation and Taylor series. Vectors in three-dimensional
space, lines, planes, linear functions, and determinants. | | Oasis Title: | CALC II SCI ENG | | Duplicate Credit: | Not open to students with credit in MATH 2410H or MATH 2410 | | Prerequisite: | MATH 2250 or MATH 2300H | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2300H. 4 hours. | | Course Title: | Differential Calculus (Honors) | Course
Description: | Honors differential calculus and applications, including
optimization and related rate problems, L'Hôpital's rule.
Introduction to the integral, area between curves,
antidifferentiation, and the fundamental theorem of calculus. | | Oasis Title: | DIFF CALC HONORS | | Duplicate Credit: | Not open to students with credit in MATH 2200 | | Prerequisite: | MATH 1113 and permission of Honors | Semester Course
Offered: | Offered fall semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2310H. 4 hours. | | Course Title: | Integral Calculus (Honors) | Course
Description: | Integral calculus with techniques of integration, differential
equations, applications to volumes and physics. Improper
integrals, Taylor series, and applications. Introduction to
vectors and applications. | | Oasis Title: | INT CALC (HONORS) | | Duplicate Credit: | Not open to students with credit in MATH 2110 or MATH 2210 or MATH 2260 or MATH 2410, MATH 2410H | | Prerequisite: | (MATH 2250 or MATH 2300H or MATH 2400 or MATH 2400H) and permission of Honors | Semester Course
Offered: | Offered fall and spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2400H. 4 hours. | | Course Title: | Differential Calculus with Theory (Honors) | Course
Description: | A more rigorous and extensive treatment of differential calculus. Topics include the real numbers, the least upper bound property, limits, continuity, differentiability, and applications. Students with a strong background and interest in mathematics are encouraged to take this course; prior experience with calculus is not required. | | Oasis Title: | DIF CALC THRY HNRS | | Duplicate Credit: | Not open to students with credit in MATH 2110 or MATH 2210 or MATH 2260 or MATH 2310H, MATH 2400 | | Prerequisite: | Permission of Honors | Semester Course
Offered: | Offered fall semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2400. 4 hours. | | Course Title: | Differential Calculus with Theory | Course
Description: | A rigorous and extensive treatment of differential calculus.
Topics include the real numbers, the least upper bound property,
limits, continuity, differentiability, and applications. | | Oasis Title: | DIFF CALC THRY | | Duplicate Credit: | Not open to students with credit in MATH 2260 or MATH 2110 or MATH 2210 or MATH 2310H, MATH 2400H | | Nontraditional Format: | Students with a strong background and interest in mathematics are
encouraged to take this course; prior experience with calculus is
not required. | | Prerequisite: | MATH 1113 | Semester Course
Offered: | Offered fall semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2410. 4 hours. | | Course Title: | Integral Calculus with Theory | Course
Description: | A rigorous and extensive treatment of integral calculus. Topics
include the Fundamental Theorem of calculus, applications of
integration, logarithms and exponentials, Taylor polynomials,
`sequences, series, and uniform convergence. | | Oasis Title: | INT CALC THRY | | Duplicate Credit: | Not open to students with credit in MATH 2110 or MATH 2260 or MATH 2310H or MATH 2410H | | Prerequisite: | MATH 2400 | Semester Course
Offered: | Offered spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2410H. 4 hours. | | Course Title: | Integral Calculus with Theory (Honors) | Course
Description: | A more rigorous and extensive treatment of integral calculus. Topics include the Fundamental Theorem of calculus, applications of integration, logarithms and exponentials, Taylor polynomials, sequences, series, and uniform convergence. | | Oasis Title: | INT CALC THRY HNRS | | Duplicate Credit: | Not open to students with credit in MATH 2110 or MATH 2210 or MATH 2260 or MATH 2310H, MATH 2410 | | Prerequisite: | (MATH 2400 or MATH 2400H) and permission of Honors | Semester Course
Offered: | Offered spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2500. 3 hours. | | Course Title: | Multivariable Calculus | Course
Description: | Calculus of functions of two and three variables including vectors in two and three dimensions, parametric curves, continuity and differentiability of functions of several variables, directional derivatives, Lagrange multipliers, multiple integration, polar coordinates, Green's theorem, and Stokes' theorem. | | Oasis Title: | MULTIVARIABLE CALC | | Duplicate Credit: | Not open to students with credit in MATH 3510 or MATH 3510H | | Prerequisite: | MATH 2210 or MATH 2260 or MATH 2310H or MATH 2410 or MATH 2410H | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2600. 3 hours. | | Course Title: | Discrete Mathematics for Biology | Course
Description: | Discrete mathematics topics especially pertinent to applications in computational biology and genetics. Topics include basic set theory and logic, introductory linear algebra, difference equations and stability, counting and discrete probability and distributions, large data structures. Specific biological models are introduced to motivate topics. | | Oasis Title: | DISCRETE MATH BIOL | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
| | | Course ID: | CSCI(MATH) 2610. 4 hours. | | Course Title: | Discrete Mathematics for Computer Science | Course
Description: | The fundamental mathematical tools used in computer science: sets, relations, and functions; propositional logic, predicate logic, and inductive proofs; summations, recurrences, and elementary asymptotics; counting and discrete probability; undirected and directed graphs; introductory linear algebra, with applications in computer science. | | Oasis Title: | DISCRETE MATH | | Prerequisite: | MATH 1113 | Semester Course
Offered: | Offered every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 2700. 3 hours. | | Course Title: | Elementary Differential Equations | Course
Description: | First and second order ordinary differential equations, including physical and biological applications, numerical solutions, and mathematical modeling. | | Oasis Title: | ELEM DIFF EQNS | | Prerequisite: | MATH 2210 or MATH 2260 or MATH 2310H or MATH 2410 or MATH 2410H | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 3000. 3 hours. | | Course Title: | Introduction to Linear Algebra | Course
Description: | Theory and applications of systems of linear equations, vector spaces, and linear transformations. Fundamental concepts include: linear independence, basis, and dimension; orthogonality, projections, and least squares solutions of inconsistent systems; eigenvalues, eigenvectors, and applications to Markov chains, difference equations, and quadratic forms. | | Oasis Title: | INTRO TO LINEAR ALG | | Duplicate Credit: | Not open to students with credit in MATH 3500 or MATH 3500H | | Prerequisite: | MATH 2210 or MATH 2260 or MATH 2310H or MATH 2410 or MATH 2410H | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 3100. 3 hours. | | Course Title: | Sequences and Series | Course
Description: | Precise definitions of limit and convergence concepts; practical tests for convergence of infinite series; power series representations and numerical error estimates; applications to calculus and explicit summation formulae; trigonometric series. | | Oasis Title: | SEQUENCES & SERIES | | Prerequisite: | MATH 2210 or MATH 2260 or MATH 2310H or MATH 2410 or MATH 2410H | Semester Course
Offered: | Offered fall and spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 3200. 3 hours. | | Course Title: | Introduction to Higher Mathematics | Course
Description: | Preparation in mathematical reasoning and proof-writing necessary for upper division course work in mathematics. Topics include logic, integers and induction, sets and relations, equivalence relations and partitions, and functions (including injectivity and surjectivity). | | Oasis Title: | INTRO HIGHER MATH | | Prerequisite: | MATH 2210 or MATH 2260 or MATH 2310H or MATH 2410 or MATH 2410H | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 3220. 1 hour. Repeatable for maximum 4 hours credit. | | Course Title: | Advanced Problem Solving | Course
Description: | Strategies and tactics for solving advanced problems in
undergraduate mathematics. Methods will be demonstrated
through
examples and exercises. (Will not count towards the
mathematics
degree.) | | Oasis Title: | ADV PROB SOLV | | Pre or Corequisite: | MATH 3000 or MATH 3100 or MATH 3200 or MATH 3500 or MATH 3500H | Semester Course
Offered: | Offered fall and spring semester every year. | | Grading System: | S/U (Satisfactory/Unsatisfactory) |
| | | Course ID: | MATH 3500. 3 hours. | | Course Title: | Multivariable Mathematics I | Course
Description: | Vector algebra and geometry, fundamental concepts of linear
algebra, linear transformations, differential calculus of
functions of several variables, solutions of linear systems and
linear independence, extremum problems and projections. This
course and its sequel give an integrated and more proof-oriented
treatment of the material in Multivariable Calculus and
Intoduction to Linear Algebra. | | Oasis Title: | MULTIVAR MATH I | | Duplicate Credit: | Not open to students with credit in MATH 3000 or MATH 3500H | | Prerequisite: | MATH 2210 or MATH 2260 or MATH 2310H or MATH 2410 or MATH 2410H | Semester Course
Offered: | Offered fall semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 3500H. 3 hours. | | Course Title: | Multivariable Mathematics I (Honors) | Course
Description: | Vector algebra and geometry, fundamental concepts of linear
algebra, linear transformations, differential calculus of
functions of several variables, solutions of linear systems and
linear independence, extremum problems and projections. | | Oasis Title: | MULTI MATH I HONORS | | Duplicate Credit: | Not open to students with credit in MATH 3000 or MATH 3500 | | Prerequisite: | (MATH 2210 or MATH 2260 or MATH 2310H or MATH 2410 or MATH 2410H) and permission of Honors | Semester Course
Offered: | Offered fall semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 3510H. 3 hours. | | Course Title: | Multivariable Mathematics II (Honors) | Course
Description: | Inverse function theorem and manifolds, integration in several
variables, the change of variables theorem. Differential forms,
line integrals, surface integrals, and Stokes's Theorem;
applications to physics. Eigenvalues, eigenvectors, spectral
theorem, and applications. | | Oasis Title: | MULT MATH II HONORS | | Duplicate Credit: | Not open to students with credit in MATH 2500 or MATH 3510 | | Prerequisite: | MATH 3500 or MATH 3500H | Semester Course
Offered: | Offered spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 3510. 3 hours. | | Course Title: | Multivariable Mathematics II | Course
Description: | Inverse function theorem and manifolds, integration in several
variables, the change of variables theorem. Differential forms,
line integrals, surface integrals, and Stokes's Theorem;
applications to physics. Eigenvalues, eigenvectors, spectral
theorem, and applications. | | Oasis Title: | MULTIVAR MATH II | | Duplicate Credit: | Not open to students with credit in MATH 2500 or MATH 3510H | | Prerequisite: | MATH 3500 or MATH 3500H | Semester Course
Offered: | Offered spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4000/6000. 3 hours. | | Course Title: | Modern Algebra and Geometry I | Course
Description: | Abstract algebra, emphasizing geometric motivation and applications. Beginning with a careful study of integers, modular arithmetic, and the Euclidean algorithm, the course moves on to fields, isometries of the complex plane, polynomials, splitting fields, rings, homomorphisms, field extensions, and compass and straightedge constructions. | | Oasis Title: | MOD ALG & GEOM I | | Prerequisite: | (MATH 3000 or MATH 3500 or MATH 3500H) and (MATH 3200 or MATH 3610) | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4010/6010. 3 hours. | | Course Title: | Modern Algebra and Geometry II | Course
Description: | More advanced abstract algebraic structures and concepts, such as groups, symmetry, group actions, counting principles, symmetry groups of the regular polyhedra, Burnside's Theorem, isometries of R^3, Galois Theory, and affine and projective geometry. | | Oasis Title: | MOD ALG & GEOM II | | Prerequisite: | MATH 4000/6000 | Semester Course
Offered: | Offered spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4050/6050. 3 hours. | | Course Title: | Advanced Linear Algebra | Course
Description: | Orthogonal and unitary groups, spectral theorem; infinite dimensional vector spaces; Jordan and rational canonical forms and applications. | | Oasis Title: | ADV LIN ALG | | Prerequisite: | MATH 4000/6000 | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4080/6080. 3 hours. | | Course Title: | Advanced Algebra | Course
Description: | Linear algebra, groups, rings, and modules, intermediate in level between Modern Algebra and Geometry II and Algebra. Topics include the finite-dimensional spectral theorem, group actions, classification of finitely generated modules over principal ideal domains, and canonical forms of linear operators. | | Oasis Title: | ADVANCED ALGEBRA | | Prerequisite: | MATH 4010/6010 or permission of department | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4100/6100. 3 hours. | | Course Title: | Real Analysis | Course
Description: | Metric spaces and continuity; differentiable and integrable functions of one variable; sequences and series of functions. | | Oasis Title: | REAL ANALYSIS | | Prerequisite: | MATH 3100 and (MATH 3200 or MATH 3610) | Semester Course
Offered: | Offered fall semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4110/6110. 3 hours. | | Course Title: | The Lebesgue Integral and Applications | Course
Description: | The Lebesgue integral with applications to Fourier analysis and probability. | | Oasis Title: | LEBESGUE INTEGRAL | | Prerequisite: | MATH 4100/6100 or MATH 4200/6200 or permission of department | Semester Course
Offered: | Offered spring semester every even-numbered year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4120/6120. 3 hours. | | Course Title: | Multivariable Analysis | Course
Description: | The derivative as a linear map, inverse and implicit function theorems, change of variables in multiple integrals; manifolds, differential forms, and the generalized Stokes' Theorem. | | Oasis Title: | MULTIVAR ANALYSIS | | Prerequisite: | MATH 3510 or MATH 3510H or MATH 4100/6100 or MATH 4200/6200 | Semester Course
Offered: | Offered spring semester every odd-numbered year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4130/6130. 3 hours. | | Course Title: | Introduction to Functional Analysis | Course
Description: | Introduction to analysis in infinite dimensional vector spaces
useful in mathematics and other disciplines. Topics may be chosen from: metric spaces, completeness and compactness and applications; basic Banach space functionals and operators and applications; basic Hilbert space theory, self-adjoint compact operators, and applications. | | Oasis Title: | FUNCTIONAL ANALYSIS | | Prerequisite: | [MATH 4100/6100 and (MATH 3000 or MATH 3500)] or permission of department | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4150/6150. 3 hours. | | Course Title: | Complex Variables | Course
Description: | Differential and integral calculus of functions of a complex variable, with applications. Topics include the Cauchy integral formula, power series and Laurent series, and the residue theorem. | | Oasis Title: | COMPLEX VARIABLES | | Prerequisite: | (MATH 2500 and MATH 3100) or MATH 3510 or MATH 3510H | Semester Course
Offered: | Offered every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4200/6200. 3 hours. | | Course Title: | Point Set Topology | Course
Description: | Topological spaces, continuity; connectedness, compactness; separation axioms and Tietze extension theorem; function spaces. | | Oasis Title: | POINT SET TOPOLOGY | | Prerequisite: | MATH 3100 and (MATH 3200 or MATH 3610) | Semester Course
Offered: | Offered every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4220/6220. 3 hours. | | Course Title: | Differential Topology | Course
Description: | Manifolds in Euclidean space: fundamental ideas of transversality, homotopy, and intersection theory; differential forms, Stokes' Theorem, deRham cohomology, and degree theory. | | Oasis Title: | DIFF TOPOLOGY | | Prerequisite: | MATH 4120/6120 and (MATH 4100/6100 or MATH 4200/6200) | Semester Course
Offered: | Offered fall semester every odd-numbered year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4250/6250. 3 hours. | | Course Title: | Differential Geometry | Course
Description: | The geometry of curves and surfaces in Euclidean space: Frenet formulas for curves, notions of curvature for surfaces; Gauss-Bonnet Theorem; discussion of non-Euclidean geometries. | | Oasis Title: | DIFF GEOMETRY | | Prerequisite: | (MATH 2500 and MATH 3000) or MATH 3510 or MATH 3510H | Semester Course
Offered: | Offered every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4300/6300. 3 hours. | | Course Title: | Introduction to Algebraic Curves | Course
Description: | Polynomials and resultants, projective spaces. The focus is on plane algebraic curves: intersection, Bezout's theorem, linear systems, rational curves, singularities, blowing up. | | Oasis Title: | INTRO TO ALG CURVES | | Prerequisite: | MATH 4000/6000 or permission of department | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4400/6400. 3 hours. | | Course Title: | Number Theory | Course
Description: | Euler's theorem, public key cryptology, pseudoprimes, multiplicative functions, primitive roots, quadratic reciprocity, continued fractions, sums of two squares and Gaussian integers. | | Oasis Title: | NUMBER THEORY | | Prerequisite: | MATH 4000/6000 | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4450/6450. 3 hours. | | Course Title: | Cryptology and Computational Number Theory | Course
Description: | Recognizing prime numbers, factoring composite numbers, finite fields, elliptic curves, discrete logarithms, private key cryptology, key exchange systems, signature authentication, public key cryptology. | | Oasis Title: | COMP NUMBER THY | | Prerequisite: | MATH 4000/6000 | Semester Course
Offered: | Offered every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4500/6500. 3 hours. | | Course Title: | Numerical Analysis I | Course
Description: | Methods for finding approximate numerical solutions to a variety of mathematical problems, featuring careful error analysis. A mathematical software package will be used to implement iterative techniques for nonlinear equations, polynomial interpolation, integration, and problems in linear algebra such as matrix inversion, eigenvalues and eigenvectors.
| | Oasis Title: | NUMER ANALYSIS I | | Prerequisite: | MATH 3000 or MATH 3500 or MATH 3500H | | Pre or Corequisite: | MATH 3100 | Semester Course
Offered: | Offered fall semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4510/6510. 3 hours. | | Course Title: | Numerical Analysis II | Course
Description: | Numerical solutions of ordinary and partial differential equations, higher-dimensional Newton's method, and splines. | | Oasis Title: | NUMER ANALYSIS II | | Prerequisite: | (MATH 2500 or MATH 3510 or MATH 3510H) and MATH 2700 and MATH 4500/6500 | Semester Course
Offered: | Offered spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4550/6550. 3 hours. | | Course Title: | Computer-Aided Curves and Surfaces Design | Course
Description: | Bezier curves and spline curves, tensor product Bezier and spline
surfaces, Bezier triangular surfaces and triangular spline surfaces, Coons patches, basic differential geometry for curves and surfaces, computer implementation of these curves and surfaces. | | Oasis Title: | COMP AIDED DESIGN | | Prerequisite: | MATH 2500 or MATH 3510 or MATH 3510H | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4600/6600. 3 hours. | | Course Title: | Probability | Course
Description: | Discrete and continuous random variables, expectation, independence and conditional probability; binomial, Bernoulli, normal, and Poisson distributions; law of large numbers and central limit theorem. | | Oasis Title: | PROBABILITY | | Prerequisite: | (MATH 2260 and MATH 2500) or (MATH 2500 and MATH 3100) or MATH 3510 or MATH 3510H | Semester Course
Offered: | Offered every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH(CSCI) 4630/6630. 3 hours. | | Course Title: | Mathematical Analysis of Computer Algorithms | Course
Description: | Discrete algorithms (number-theoretic, graph-theoretic, combinatorial, and algebraic) with an emphasis on techniques for their mathematical analysis. | | Oasis Title: | ALGORITHMS | | Prerequisite: | MATH 3000 and (CSCI(MATH) 2610 or MATH 3200 or MATH 3610) | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH(CSCI) 4670/6670. 3 hours. | | Course Title: | Combinatorics | Course
Description: | Basic counting principles: permutations, combinations, probability, occupancy problems, and binomial coefficients. More sophisticated methods include generating functions, recurrence relations, inclusion/exclusion principle, and the pigeonhole principle. Additional topics include asymptotic enumeration, Polya counting theory, combinatorial designs, coding theory, and combinatorial optimization. | | Oasis Title: | COMBINATORICS | | Prerequisite: | (MATH 3000 or MATH 3500 or MATH 3500H) and (CSCI(MATH) 2610 or MATH 3200) | Semester Course
Offered: | Offered every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH(CSCI) 4690/6690. 3 hours. | | Course Title: | Graph Theory | Course
Description: | Elementary theory of graphs and digraphs. Topics include connectivity, reconstruction, trees, Euler's problem, hamiltonicity, network flows, planarity, node and edge colorings, tournaments, matchings, and extremal graphs. A number of algorithms and applications are included. | | Oasis Title: | GRAPH THEORY | | Prerequisite: | (MATH 3000 or MATH 3500 or MATH 3500H) and (CSCI(MATH) 2610 or MATH 3200) | Semester Course
Offered: | Offered every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4700/6700. 3 hours. | | Course Title: | Qualitative Ordinary Differential Equations | Course
Description: | Transform methods, linear and nonlinear systems of ordinary differential equations, stability, and chaos. | | Oasis Title: | QUAL ORD DIFF EQNS | | Prerequisite: | MATH 2700 and (MATH 3000 or MATH 3500 or MATH 3500H) | Semester Course
Offered: | Offered fall semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4710/6710. 3 hours. | | Course Title: | Mathematics of Finance | Course
Description: | The mathematical methods and models used in the fields of financial analysis and actuarial science. Covers the theory of interest, models of financial markets including derivative markets, an introduction to risk and models and actuarial mathematics. | | Oasis Title: | MATH OF FINANCE | | Prerequisite: | MATH 2210 or MATH 2310H or MATH 2410H | Semester Course
Offered: | Offered spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4720/6720. 3 hours. | | Course Title: | Introduction to Partial Differential Equations | Course
Description: | The basic partial differential equations of mathematical physics: Laplace's equation, the wave equation, and the heat equation. Separation of variables and Fourier series techniques are featured. | | Oasis Title: | INTRO TO PDES | | Prerequisite: | MATH 2700 and (MATH 2500 or MATH 3510 or MATH 3510H) | Semester Course
Offered: | Offered spring semester every even-numbered year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4760/6760. 3 hours. | | Course Title: | Mathematics and Music | Course
Description: | This course is intended for undergraduates (math majors, music majors, and others) interested in the mathematical aspects of music. At least some familiarity with musical notation is a prerequisite. Topics to be discussed include the structure of sound, the construction of scales, and synthesis. There is a serious writing component. | | Oasis Title: | MATH AND MUSIC | | Prerequisite: | (MATH 2210 or MATH 2310H or MATH 2410H) and (MATH 2500 or MATH 2700) | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4780/6780. 3 hours. | | Course Title: | Mathematical Biology | Course
Description: | Mathematical models in the biological sciences, systems,
phase-plane analysis, diffusion, convective transport,
bifurcation analysis. Possible applications will include
population models, infectious disease and epidemic models,
acquired immunity and drug distribution, tumor growth, and
analysis of arterial flow dynamics. | | Oasis Title: | MAT BIOLOGY | | Undergraduate Prerequisite: | MATH 2500 and (MATH 4700/6700 or (MATH 2700 and permission of department)) | | Graduate Prerequisite: | Permission of department | Semester Course
Offered: | Offered spring semester every odd-numbered year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4790. 3 hours. | | Course Title: | The Mathematics of Option Pricing | Course
Description: | Bonds, stock markets, derivatives, arbitrage, and binomial tree
models for stocks and options, Black-Scholes formula for options
pricing, hedging. Computational methods will be incorporated. | | Oasis Title: | MATH OPTION PRICING | | Prerequisite: | (MATH 2500 and MATH 3000) or MATH 3510 or MATH 3510H or permission of department | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4850/6850. 3 hours. | | Course Title: | History of Mathematics | Course
Description: | The development of mathematical thought from ancient times to the present, paying particular attention to the context of today's mathematics curriculum. | | Oasis Title: | HISTORY OF MATH | | Prerequisite: | Senior standing | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4900/6900. 3 hours. Repeatable for maximum 6 hours credit. | | Course Title: | Topics in Mathematics | Course
Description: | A special topic not otherwise offered in the mathematics curriculum. | | Oasis Title: | TOPICS IN MATH | | Prerequisite: | Senior standing | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4950. 1-3 hours. Repeatable for maximum 6 hours credit. 2-6 hours lab per week. | | Course Title: | Research in Mathematics | Course
Description: | Research in mathematics directed by a faculty member in the department of mathematics. A final report is required. | | Oasis Title: | RESEARCH MATH | | Nontraditional Format: | Students will meet with faculty members on a regular basis. | Semester Course
Offered: | Offered every year. | | Grading System: | S/U (Satisfactory/Unsatisfactory) |
| | | Course ID: | MATH 4960H. 3 hours. | | Course Title: | Directed Readings and/or Undergraduate Research (Honors) | Course
Description: | Individual study, reading, projects, or research under the direction of a project director. | | Oasis Title: | DIRECTED READINGS | | Nontraditional Format: | Directed study. | | Prerequisite: | Senior standing and permission of Honors | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4970H. 3 hours. | | Course Title: | Directed Readings and/or Undergraduate Research (Honors) | Course
Description: | Individual study, reading, projects, or research under the direction of a project director. | | Oasis Title: | DIRECTED READINGS | | Nontraditional Format: | Directed study. | | Prerequisite: | Senior standing and permission of Honors | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 4990H. 3 hours. | | Course Title: | Honors Thesis | Course
Description: | Individual research in the major or in a closely related field. | | Oasis Title: | HONORS THESIS | | Nontraditional Format: | Thesis course. | | Prerequisite: | Permission of Honors | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 5001/7001. 3 hours. | | Course Title: | Arithmetic and Problem Solving | Course
Description: | Topics in mathematics designed for future elementary school teachers. Problem solving. Number systems: whole numbers, integers, rational numbers (fractions) and real numbers (decimals), and the relationships between these systems. Understanding multiplication and division, including why standard computational algorithms work. Properties of arithmetic. Applications of elementary mathematics. | | Oasis Title: | ARITH & PROB SOLV | | Duplicate Credit: | Not open to students with credit in MATH 1700 or MATH 5020/7020 | Semester Course
Offered: | Offered fall and spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 5002/7002. 3 hours. | | Course Title: | Geometry and Problem Solving | Course
Description: | A deep examination of mathematical topics designed for future
elementary school teachers. Length, area, and volume. Geometric
shapes and their properties. Probability. Elementary number theory. Applications of elementary mathematics. | | Oasis Title: | GEOM & PROB SOLV | | Duplicate Credit: | Not open to students with credit in MATH 5030/7030 | | Prerequisite: | MATH 5001/7001 | Semester Course
Offered: | Offered fall and spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 5003/7003. 3 hours. | | Course Title: | Algebra and Problem Solving | Course
Description: | A deep examination of topics in mathematics that are relevant for elementary school teaching. Probability, number theory, algebra and functions, including ratio and proportion. Posing and modifying problems. | | Oasis Title: | ALG & PROB SOLV | | Undergraduate Prerequisite: | MATH 5002/7002 | | Graduate Prerequisite: | MATH 5002/7002 | Semester Course
Offered: | Offered fall and spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 5020/7020. 3 hours. | | Course Title: | Arithmetic for Middle School Teachers | Course
Description: | Operations of arithmetic for middle school teachers; number systems; set theory to study mappings, functions, and equivalence relations. | | Oasis Title: | IDEAS OF ARITHMETIC | | Duplicate Credit: | Not open to students with credit in MATH 5001/7001 | | Prerequisite: | MATH 2200 or MATH 2250 | Semester Course
Offered: | Offered fall semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 5030/7030. 3 hours. | | Course Title: | Geometry and Measurement for Middle School Teachers | Course
Description: | Principles of geometry and measurement for middle school teachers. | | Oasis Title: | GEOM AND MEAS | | Duplicate Credit: | Not open to students with credit in MATH 5002/7002 | | Prerequisite: | MATH 2200 or MATH 2250 | Semester Course
Offered: | Offered spring semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 5035/7035. 3 hours. | | Course Title: | Algebra for Middle School Teachers | Course
Description: | Algebra for middle school teachers. Relationships between quantities and the interpretation of such relationships numerically, graphically, algebraically, and functionally. Emphasis on problem solving and applications, connections with geometry, arithmetic and data analysis, and math competitions such as Mathcounts. | | Oasis Title: | ALG MID SCH TEACH | | Prerequisite: | (MATH 2200 or MATH 2250) and MATH 5020/7020 and MATH 5030/7030 | Semester Course
Offered: | Offered fall semester every year. | | Grading System: | A-F (Traditional) |
| | | Course ID: | MATH 5070/7070. 3 hours. | | Course Title: | Calculus for Advanced Placement Teachers | Course
Description: | Variable calculus designed to prepare in-service secondary school teachers for effective instruction of advanced placement students. Emphasizes concepts and principles underlying differential and integral calculus of a single variable. | | Oasis Title: | CALC FOR AP TEACH | | Prerequisite: | MATH 2500 or MATH 3510 | Semester Course
Offered: | Not offered on a regular basis. | | Grading System: | A-F (Traditional) |
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