Degree Programs

Bachelors Degree in Applied Mathematics with Secondary Teaching Certification Option
Transfer Program leading to an Associate of Science in Mathematics

Faculty

Gaston Brouwer
Don Brown
Kelli Cheng
Ellen Cohen
Steven Davis
Wanda Eanes
June Jones
Chris Hill
Habib Maagoul
Barry Monk
Blanche Presley
John Trimboli
Lily Wang
Mary Dwyer Wolfe

Courses

MATH 1002 Perspectives on The History of Mathematics
Credit: 3 hours
Corequisite: MSCC 1000
An elementary survey of the origins and development of mathematics from the classical to the modern. Topics will include numerical systems, and the origins of algebra, geometry, and calculus. The focus will be on the mathematicians and historical background surrounding these developments. Three hours per week.

MATH 1101 Introduction to Mathematical Modeling
Credit: 3 hours
Prerequisite: Completion of Learning Support mathematics requirements
This course is an introduction to mathematical modeling using graphical, numerical, symbolic, and verbal techniques to describe and explore realworld data and phenomena. Emphasis is on the use of elementary functions to investigate and analyze problems and questions supported by the use of appropriate technology, and on effective communication of quantitative concepts and results. The course includes a study of linear, quadratic,
polynomial, exponential, and logarithmic models. A TI-83 graphing calculator is required. Three hours per week.

MATH 1111 College Algebra
Credit: 3 hours
Prerequisite: Completion of Learning Support mathematics requirements with at least a "C" in MATH 0099 and a score of 12 or higher on the College Algebra Placement Test; or at least a "C" in MATH 1101; or a math SAT score of at least 550.
This course, designed for students who plan to take MATH 1113, MATH 1200, or MATH 1251, is a functional approach to algebra which incorporates the use of appropriate technology. Emphasis is placed on the study of functions (linear, quadratic, piecewise defined, rational, polynomial, exponential and logarithmic), their graphs, and inequalities. Appropriate applications are included. A graphing calculator is required. Three hours per week.

MATH 1113 Precalculus
Credit: 3 hours
Prerequisite: At least a "C" in MATH 1111, or a math SAT score of at least
550, or permission of instructor
This course is designed to prepare students for calculus, physics, and related technical subjects. Topics include an intensive study of trigonometric functions and their graphs, trigonometric identities, complex numbers, DeMoivre's Theorem, and the conic sections. A graphing calculator is required. Three hours per week.

MATH 1113H Honors Precalculus
Credit: 3 hours
Prerequisite: Admission to the Honors Program and a math SAT score of at
least 550
This is an honors course designed to prepare students for calculus, physics, and related technical subjects. The course includes an intensive study of algebraic functions and transcendental functions (including the trigonometric functions) accompanied by analytic geometry. A graphing calculator is required. Three hours per week.

MATH 1200 Elementary Statistics
Credit: 3 hours
Prerequisite: At least a "C" in MATH 1101 or MATH 1111
This is an introduction to the basic concepts and principles of statistics with elementary applications. Topics include data organization, data description, probability, normal distributions, sampling distributions, confidence intervals and hypothesis testing. A statistical or graphing calculator is required. Three hours per week.

MATH 1200H Honors Elementary Statistics
Credit: 3 hours
Prerequisite: Admission to the Honors Program and at least a "B" in MATH 1101 or MATH 1111
This is an honors course designed to prepare students for calculus, physics, and related technical subjects. The course includes an intensive study of algebraic functions and transcendental functions (including the trigonometric functions) accompanied by analytic geometry. A graphing calculator is required. Three hours per week.

MATH 1220 Discrete Mathematics
Credit: 3 hours
Prerequisite: At least a "C" in MATH 1111 or a math SAT score of at least 550
This course is an introduction to discrete sets. Selected topics include sets, logic, counting, graph theory, trees, and algorithms. The course is designed primarily for Computer Science majors. Three hours per week.

MATH 1251 Calculus I
Credit: 4 hours
Prerequisite: At least a "C" in MATH 1113, or a math SAT score of at least 600
This is the first course in a three-course sequence designed primarily to provide mathematics and natural science majors with necessary mathematical understanding and skills. Topics include limits, continuity, differentiation of algebraic and trigonometric functions, applications of the derivative, definite and indefinite integrals, the Fundamental Theorem of Calculus, and applications of the integral. A graphing calculator is required. Four hours per week.

MATH 2252 Calculus II
Credit: 4 hours
Prerequisite: At least a "C" in MATH 1251, or a math SAT score of at least 700
This is the second course in a three-course sequence designed primarily to provide mathematics and natural science majors with necessary mathematical understanding and skills. Topics include differentiation of logarithmic, exponential, and inverse trigonometric functions, techniques of integration, L’Hospital’s rule, improper integrals, numerical methods, infinite series, and polar coordinates. A graphing calculator is required. Four hours per week.

MATH 2253 Calculus III
Credit: 4 hours
Prerequisite: At least a "C" in MATH 2252
This is the third course in a three-course sequence designed primarily to provide mathematics and natural science majors with necessary mathematical understanding and skills. Topics include vector spaces and analytic geometry in two and three-space, calculus of vector-valued functions, calculus of functions of several variables, and vector analysis. A graphing calculator is required. Four hours per week.

MATH 2260 Introduction to Linear Algebra
Credit: 3 hours
Prerequisite: At least a "C" in MATH 2252
This is a matrix-oriented introduction to linear algebra through the study of systems of linear equations, determinants, Euclidean vector spaces, linear transformations, eigenvalues and eigenvectors, and related topics. A graphing calculator is required. Three hours per week.


MATH 2270 Differential Equations
Credit: 3 hours
Prerequisite: At least a "C" in MATH 2252 (MATH 2253 and MATH 2260 are highly recommended)
This is an introduction to the solution of differential equations with emphasis upon linear differential equations. Topics include systems of equations, series solutions, numerical methods, and applications. A graphing calculator is required. Three hours per week.


MATH 3010 History of Mathematics
Credit: 3 hours
Prerequisite: At least a "C" in MATH 1251
This course is a study of the development of mathematics from primitive times to the twenty-first century; including numeral systems, arithmetical methods, origins of algebra, geometry, trigonometry, analytic geometry, calculus, and selected topics from modern mathematics. Three hours per week.

MATH 3040 Bridge to Higher Mathematics
Credit: 3 hours
Prerequisite: At least a "C" in MATH 2252
This course serves as a bridge to upper level mathematics courses. Topics include propositional and predicate logic, mathematical induction, logic and structure of sets as related to mathematical proof, relations, and cardinality. Three hours per week.

MATH 3100 Number Systems
Credit: 3 hours
Prerequisite: Formal acceptance into the Bachelor of Science in Education Program
Corequisite: PHYS 3000
Topics include problem-solving strategies, sets and counting, logic, numeration systems, number systems, number theory, ration and proportion, and an introduction to plane figures.

MATH 3110 Informal Geometry
Credit: 3 hours
Prerequisite: Formal acceptance into the Bachelor of Science in Education Program and MATH 3100
Topics include plane figures, polygons and tessellations, space figures, symmetric figures, systems of measurement, area and perimeter, volume and surface area, congruence and similarity mappings, and topological mappings.

MATH 3150 Problem Solving and Connections
Credit: 3 hours
Prerequisite: Formal acceptance into the Bachelor of Science in Education Program and MATH 3100
This course designed for pre-service teachers focuses on recognizing and using mathematics in the context of real-world problems. Connections to the sciences, social sciences, and fine arts incorporate mathematical topics from probability, discrete mathematics, algebraic and non-algebraic functions, and data analysis.

MATH 3251 Applied Combinatorics
Credit: 3 hours
Prerequisite: At least a "C" in MATH 2252
This course is an in-depth study of counting principles. Topics include combinations, permutations, generating functions, recurrence relations, principle of inclusion and exclusion, and Polya's theory of counting. Three hours per week.

MATH 3510 Foundations of Geometry
Credit: 3 hours
Prerequisite: At least a "C" in MATH 3040
This course is a study of Euclidean and non-Euclidean plane geometry from both synthetic and metric approaches. Topics include concepts related to incidence, betweenness, plane separation and convexity, congruence, and parallelism, with some attention given to geometric transformations. Three hours per week.

MATH 3600 Probability and Statistics
Credit: 3 hours
Prerequisite: At least a "C" in MATH 2252
This course is a post-calculus treatment of probability and statistics. Topics include descriptive statistics, probability distributions for discrete and continuous random variables, statistical inference, one way analysis of variance, and regression analysis. Three hours per week.

MATH 3900 Economical Mathematics
Credit: 2 hours
Prerequisite: At least a "C" in MATH 2252
This course is a treatment of the mathematical theory and the practical applications of the various measures of interest. Included in the topics to be covered are simple and compound interest, continuous annuities, varying annuities, amortization, sinking funds, bonds, valuation of securities. Three hours per week.

MATH 4110 Number Theory
Credit: 3 hours
Prerequisite: At least a "C" in MATH 2252
Topics in this course include elementary properties of integers, including divisibility, unique factorization, progressions and prime numbers; linear congruences and residue classes' complete and reduced residue systems; Chinese Remainder Theorem; quadratic residues, law of quadratic reciprocity; the theorems of Fermat and Wilson; Fibonacci and perfect numbers; sums of squares; and elementary theory of continued fractions. Three hours per week.

MATH 4150 Linear Algebra
Credit: 3 hours
Prerequisites: At least a "C" in both MATH 2260 and MATH 3040
Topics in this course include an introduction to the theory of vector spaces, with emphasis on finite-dimensional vector spaces, linear systems, matrices, linear transformations, eigenvalues, and related subjects. Three hours per week.

MATH 4260 Mathematical Analysis
Credit: 3 hours
Prerequisites: At least a "C" in MATH 3040
This course is a study of the principles of mathematical analysis; point set topology of real numbers, numerical sequences and series, continuity, differentiation, integration, sequences and series of functions, and metric spaces. Three hours per week.

MATH 4300 Regression Analysis
Credit: 3 hours
Prerequisites: At least a "C" in MATH 3600
Topics in this course include simple and multiple regression; model selection procedures; analysis of variance; simultaneous inference; and design and analysis of experiments. Three hours per week.

MATH 4480 Graph Theory
Credit: 3 hours
Prerequisites: At least a "C" in MATH 2252
Topics in this class include structure of graphs, directed graphs, trees, and connectivity; Eulerian and Hamiltonian graphs; planar graphs; graph colorings; matchings; independence; and domination. Additional topics may include symmetry of graphs, external graph theory, graph embeddings, and probabilistic methods in graph theory. Three hours per week.

MATH 4621 Mathematical Statistics I
Credit: 3 hours
Prerequisites: At least a "C" in both MATH 2253 and MATH 3600
This is the first in a two-course sequence. Topics in this course include distributions of random variables; conditional probability and stochastic independence; multivariate and some special distributions; and distributions of functions of random variables. Three hours per week.

MATH 4622 Mathematical Statistics II
Credit: 3 hours
Prerequisite: At least a "C" in MATH 4621
This is the second in a two-course sequence. Topics in this course include statistical inference, sufficient statistics, estimation theory, theory of statistical tests, and inferences about normal models. Three hours per week.

MATH 4630 Topics in Applied Statistics
Credit: 3 hours
Prerequisite: At least a "C" in MATH 3600
Topics in applied statistics will be selected from quality control, sampling theory, nonparametric statistics, experimental design, computational statistics, and regression analysis. Three hours per week.

MATH 4651 Numerical Analysis I
Credit: 3 hours
Prerequisites: At least a "C" in both MATH 2252 and CPSC 1301
This is the first in a two-course sequence. Topics in this course include the development and implementation of efficient numerical methods; locating roots of nonlinear equations; solving systems of linear equations; numerical differentiation and integration; interpolation; and approximation of functions. Three hours per week.

MATH 4652 Numerical Analysis II
Credit: 3 hours
Prerequisites: At least a "C" in both MATH 4651 and MATH 3270
This is the second in a two-course sequence. Topics in this course include the determination of eigenvalues and eigenvectors of matrices; method of least squares, and curve fitting; numerical solutions of ordinary and partial differential equations. Three hours per week.

MATH 4901 Operations Research I
Credit: 3 hours
Prerequisite: At least a "C" in MATH 4150
This course is an introduction to the mathematical aspects and applications of operations research. Topics are selected from linear programming (mainly), integer programming, and dynamic programming. Three hours per week.

MATH 4902 Operations Research II
Credit: 3 hours
Prerequisite: At least a "C" in MATH 4621
This course is an introduction to stochastic operations research. Topics are selected from stochastic modeling and optimization, probability models, queuing theory, and Monte Carlo simulation. Note that MATH 4901 is not a prerequisite for this course. Three hours per week.

MATH 4905 Optimization
Credit: 3 hours
Prerequisites: At least a "C" in MATH 2252
Topics in this course include Lagrange multipliers, gradient methods,, search techniques, variational methods and control problems dynamic programming, and nonlinear programming. Three hours per week.

MATH 4910 Mathematical Models
Credit: 3 hours
Prerequisite: At least a "C" in both MATH 2253 and MATH 3600
This course is an introduction to basic principles and applications of classical mathematical models, optimization models, and probabilistic models. Three hours per week.