Dr. Heberto

Course Descriptions

Prefix: MAT

Note: Exceptions to any prerequisite must be made by the Department Chair.

090 Pre-Entry Math (3)

This course prepares a student to take MAT 091. A variety of individualized strategies are used, including programmed materials, computer-aided instruction, and one-on-one tutoring. Does not fulfill distribution or degree requirements. Placement in this course is by appropriate score on the placement test. CR/NC option only.

091 Preparatory Mathematics I (3)

Introduction to algebra, exponents, polynomials, factoring, solving linear and graphing linear equations, and inequalities in two variables. Emphasis on problem solving skills. The course prepares students for MAT 107 or 152 and does not fulfill distribution or degree requirements. CR/NC option available. Placement in this course is by appropriate score on the math SAT or ACT test or by a skills assessment. (Fall, Spring)

095 Preparatory Mathematics III (3)

Basic properties of real and complex numbers, factoring polynomials, synthetic division, equations and inequalities, coordinates and graphs, graphs of lines and circles, systems of equations. The course prepares students to take Precalculus courses, but does not fulfill distribution or degree requirements. CR/NC option available. Prerequisite: MAT 091 or appropriate Math SAT or ACT score. (Fall, Spring, Summer)

107 General Education Mathematics (3)

Nature and application of mathematics for liberal arts students. Topics selected from algebra, geometry, logic, numeration systems, probability, and statistics. Prerequisite: MAT 091 or appropriate math SAT or ACT score or by a skills assessment. (Fall, Spring)

108 Precalculus Mathematics for Business (3)

Equations and inequalities; systems of equations and inequalities; exponential and logarithmic functions, and their
graphs; vectors, matrices, linear programming. Prerequisite: MAT 095 or appropriate math SAT or ACT score. (Fall, Spring)

109 Precalculus Mathematics I (3)

Functions and their graphs; polynomial, algebraic, rational, exponential, and logarithmic functions; real zeros of functions; polynomial and rational inequalities; conic sections. Prerequisite: CR in MAT 095 or appropriate Math SAT or ACT score. (Fall, Spring, Summer)

110 Precalculus Mathematics II (3)

Trigonometric functions of angles; trigonometric identities, equations, and graphs; trigonometric applications; polar coordinates. Prerequisite: MAT 109 with a grade of C or above, or appropriate Math SAT or ACT score. (Fall, Spring, Summer)

152 Elementary Probability and Statistics (3)

Sampling, tables and graphs, elementary probability, special discrete and continuous random variables, linear correlation and regression, contingency tables, hypothesis testing. Prerequisite: MAT 091 or satisfactory math SAT or ACT score. (Fall, Spring, Summer)

199 Special Topics (3)

Contents to be determined each semester by the Department to meet needs of the program and/or of the students. Prerequisite: Departmental approval. (Occasional Offering)

203 Geometry for Teachers (3)

Informal plane and space geometry; measurements, perimeter, area, volume; metric system; congruence, similarity, constructions; translations, rotations, reflections, symmetries, tessellations; use of appropriate software. Emphasis on problem solving. Prerequisite: MAT 109 with a grade of C or above; education majors only. (Spring)

210 Calculus with Applications (3)

Applications of calculus to business, social, and behavioral sciences. Limits of functions, derivative as the rate of change, marginal cost, marginal revenue. Curve sketching, maximization and optimization, elasticity. Integration, density function, consumers and producers surplus, annuities, exponential and logistic growth. Not acceptable for the Mathematics or Computer Science major. Prerequisite: MAT 108 or appropriate math SAT or ACT score. (Occasional Offering)

211 Calculus I (4)

Limits of functions and approximation, differentiation and integration of elementary functions, maxima and minima applications. Prerequisite: MAT 110 with a grade of C or above, or appropriate math SAT or ACT score. (Fall, Spring, Summer)

212 Calculus II (4)

Advanced techniques of differentiation and integration; polar coordinates, sequences, and series. Prerequisite: MAT 211 with a grade of C or above. (Fall, Spring)

213 Calculus III (4)

Multivariable calculus; functions of several variables; partial derivatives; multiple integration; theorems of Green, Gauss, and Stokes; introduction to linear differential equations. Prerequisite: MAT 212 with a grade of C or above. (Spring)

214 Introduction to Financial Mathematics (3)

Mathematics of interest rates and their applications to financial and risk management: simple and compound interest, annuities and other accumulation methods, rates of return, amortization, sinking fund and bond management. Prerequisite: MAT 109. (Spring even years)

230 Statistical Methods I (3)

Introduction to the description and analysis of data. Exploratory graphical methods. Data summarization methods. Probability, sampling, expectation. Statistical inference for means and proportions. Statistical software will be widely used. Prerequisites: MAT 110 or 152 or equivalent. (Fall even years)

240 History and Philosophy of Science (3)

The course examines scientific and mathematical thought from an historical and philosophical perspective. The connection among the disciplines of physics, mathematics, and chemistry will be highlighted. The development of scientific thought throughout history will be studied and paradigm shifts will be emphasized. (Honors Option) (Fall)

252 Statistics with Applications I

Continuation of MAT 152. Hypothesis testing, regression and correlation, chi-square and F distributions, nonparametric statistics. Emphasis on applications to social and behavioral sciences. Prerequisite: MAT 152 or equivalent. (Fall, Spring)

253 Discrete Mathematics I (3)

Sets, counting, methods of proof. Logic. Relations, types of relations, functions, types of functions. Recursive functions. Prerequisite: MAT 110. (Fall)

254 Discrete Mathematics II (3)

Systems of linear equations, matrices, matrix operations. Graphs, lattices, Boolean algebras, regular expressions, finite state automata. Decidability, formal languages and grammars. Computational complexity. Prerequisite: MAT 253. (Spring even years)

300 Special Topics (3)

Contents to be determined each semester by the Department to meet needs of the program and/or of the students. Prerequisite: Departmental approval. (Occasional Offering)

310 Advanced Calculus I (3)

Functions, sequences, limits. Continuity, uniform continuity. Differentiation, integration, Taylor Polynomials. Prerequisite: MAT 213 or MAT 212 with a grade of B or higher. (Fall odd years)

311 Advanced Calculus II (3)

Continuation of MAT 310. Uniform convergence; functions of several variables, partial differentiation; multiple integrals. Prerequisite: MAT 310 and MAT 213. (Spring occasional offering)

314 Differential Equations (3)

Linear differential equations, systems of differential equations, solutions by series and by numerical methods, applications. Prerequisite: MAT 212. (Fall)

317 Introduction to Actuarial Mathematics (3)

Survival distribution function, life table, life insurance policies, life annuities, risk models for life insurance. Prerequisites: MAT 211 and MAT 214. (Fall even years)

321 Topics in Geometry (3)

Geometric shapes and measurement: primitive areas and volumes. Properties of lines and triangles: properties of incidence and parallelism, similarity and congruence of triangles. Circles: central and inscribed angles, chords, secants, and tangents. Transformation Geometry: geometric transformations, translations, reflections, rotations, and related groups. Prerequisites: MAT 211 and MAT 253.

330 Statistical Methods II (3)

Continuation of MAT-230. Statistical inference, analysis of variance, correlation and regression analysis, categorical data, design of experiments. Statistical software will be widely used. Prerequisite: MAT 230. (Spring odd years)

331 Algebraic Structures (3)

Groups, Lagrange’s theorem, homomorphisms. Rings, integral domains, field of quotients, polynomial rings, unique factorization domains. Fields and finite field extensions. Prerequisite: MAT 332. (Fall even years)

332 Linear Algebra (3)

Systems of linear equations, matrices, vector spaces, linear transformations, determinants. Quadratic forms, eigenvalues and eigenvectors. Prerequisites: MAT 211 and MAT 253. (Spring)

356 Statistics for Science (3)

Analysis of data, histograms, measures of central tendency and of dispersion. Probability, normal curve. Statistical tests; hypothesis testing. This course is designed for science majors (Biology, Physics, Chemistry, Computer Science, Mathematical Sciences). Prerequisite: MAT 211. (Spring even years)

395, 495 Research (1‑3)

Investigation of an original research problem of special interest to the student; independent execution of specific work in pure/applied mathematics or library research under the direction of a selected faculty member. Students who have completed at least 1 credit of MAT 395 (or PHY 395 in certain cases and with Chair’s approval) may register for MAT 495. Prerequisite: Approval of Instructor (Fall, Spring, Summer)

416 Introduction to Complex Analysis (3)

Analytic functions, Cauchy-Riemann equations. Complex integration, Cauchy’s theorem and integral formula. Power series, Laurent series. Calculus of residues and applications. Prerequisite: MAT 213. (Fall occasional offering)

451 Probability Theory (3)

Probability spaces, distribution functions, central limit theorem, conditional probability. Prerequisite: MAT 213. (Fall)

452 Mathematical Statistics (3)

Sampling theory, statistical inference, hypothesis testing. Prerequisite: MAT 451. (Spring odd years)

456 Numerical Analysis (3)

A survey of numerical and computational methods for solving algebraic problems. Zero location, maxima and minima, Newton’s methods, vector and matrix operations, characteristic value problem, numerical approximation to differential equations. Use of computer algorithms and programming is involved. Prerequisites: MAT 314, 332 and CS 211 or 231. (Fall odd years)

359, 459 Independent Study (3, 3)

Opportunity for extensive research in areas of special interest to the student. Prerequisites: Dean’s and Department Chair’s approval.

487 Undergraduate Mathematics Seminar (3 credits)

Topics will be chosen according to student and faculty interest. Presentations of papers on original work or advanced material to be discussed under a faculty moderator. Prerequisites: Junior or senior standing and Department Chair’s approval. (Spring)

499 Internship (3–12)

Practical experience within a professional setting. Prerequisites: Senior status (901 credit hours), 2.50 overall GPA, all documentation must be completed before the end of the semester preceding the internship. Prior approval of Department Chair and Dean required.