258A Shelby Center for Science
Telephone: 256.824.6470
Email: mathchair@uah.edu
Chair: Dr. Toka Diagana, Professor
The Mathematical Sciences department offers the following undergraduate degree:
Program Objectives
Our objective is to provide excellent instruction and resources for the mathematics education through our courses and degree programs. Through our bachelor's, master's and doctoral degree programs, our goal is to help produce the new generations of welleducated mathematicians that are critical for the progress of mankind. Our second objective is to promote and communicate the importance of mathematics in society and to help maintain standards of excellence in mathematics through collaboration with other departments. Our third objective is to have graduates prepared for careers in government, industry, teaching at a secondary school level, or for graduate study in mathematics.
Learning Outcomes
Graduates in Mathematics will:

Demonstrate critical thinking skills to construct clear, valid and succinct proofs

Effectively apply mathematics to solve problems in applied fields

Exhibit quantitative reasoning and data analysis
MA 105  NATURE OF MATHEMATICS
Semester Hours: 3
The course explores mathematical ideas that historically led to the development of major branches of mathematics. Conceptual understanding and realworld problem solving will be emphasized. Topics may include world of numbers, infinity, chance, foundations of statistics, and mathematical aesthetics. MA 105 cannot be used to fulfill prerequisite requirements for any mathematics course.
MA 107  ALGEBRA WITH APPLICATIONS
Semester Hours: 3
Algebra review, functions and graphs, linear models, exponential logarithmic functions, mathematics of finance, sets and probability. Prerequisites: Level 1 placement for MA 107 and Level 0 placement for MA 107L. No credit given to students who have received credit for another MA course.
MA 107S  ALGEBRA W/APPLICATIONS SSECT
Semester Hours: 3
This course offers all of the Algebra with Applications curriculum with the addition of remedial material. This course is 3 credit hours, but meets 5 days per week. The Ssection is intended for students with math placement 0.
Prerequisite: math placement level 0.
MA 110  FINITE MATHEMATICS
Semester Hours: 3
Algebra review, elementary functions, matrices, logic, sets, counting, and an introduction to probability and statistics. MA 110 is an AGSC core course.
Prerequisites: Level 1 placement for MA 110 and Level 0 placement for MA 110L.
MA 110S  FINITE MATHEMATICS SSECTION
Semester Hours: 3
This course offers all of the Finite Mathematics curriculum with the addition of remedial material. This course is 3 credit hours, but meets 5 days per week. The Ssection is intended for students with math placement 0.
Prerequisite: Math placement level 0.
MA 112  PRECALCULUS ALGEBRA
Semester Hours: 3
Real number systems, exponents, radicals, factoring, absolute value, inequalities, function notation, functions, inverse functions, graphing techniques, polynomial and rational functions, operations with complex numbers, conic sections, and theory of equations.
Prerequisites: Level 1 placement for MA 112 and Level 0 placement for MA 112L.
MA 112S  PRECALCULUS ALGEBRA SSECTION
Semester Hours: 3
This course offers all of the PreCalculus Algebra curriculum with the addition of remedial material. This course is 3 credit hours, but meets 5 days per week. The Ssection is intended for students with math placement 0.
Prerequisite: math placement level 0.
MA 113  PRECALCULUS TRIGONOMETRY
Semester Hours: 3
Exponential and logarithmic functions, trigonometric functions of angles and real numbers, graphing trigonometric functions, inverse trigonometric functions, solving trigonometric equations, verifying identities, laws of sines and cosines, vectors, trigonometric form of complex numbers, DeMoivre's theorem, summation notation, arithmetic and geometric sequences and series.
Prerequisites: Level 2 placement or MA 112 with a grade of C or better. No credit given to students who have completed a MA course numbered above MA 113. MA 113 is an AGSC core course.
MA 115  PRECALCULUS ALGEBRA & TRIG
Semester Hours: 4
The algebra of functions, including polynomial, rational, exponential, and logarithmic functions; systems of equations and inequalities; trigonometric and inverse trigonometric functions; trigonometric identities and equations; a brief introduction to DeMoivre's Theorem, vectors, polar
coordinates, and the binomial theorem. This course is intended for students who plan to take at least MA 171 (Calculus A) but who do not need the full twosemester sequence in precalculus (MA 112, 113). MA 115 is an AGSC core course.
MA 120  MATH PROFESSIONAL APPLICATIONS
Semester Hours: 3
Limits, continuity, differentiation, applications of the derivative, integration, the fundamental theorem of calculus, applications of the integral.
Prerequisites: MA 107, MA 107S, MA 112, or MA 112S with a grade of C or better, or Level 2 placement. No credit given to students who have already received credit for a calculus course. MA 120 is an AGSC core course.
MA 171  CALCULUS A
Semester Hours: 4
Limits, derivatives, applications of the derivative, definite and indefinite integrals, exponential and
logarithmic functions, and inverse functions.
Prerequisites: MA 113 or MA 115 with a grade of C or better, or Level 3 placement.
MA 171R  CALCULUS A RECITATION
Semester Hours: 0
Extension of MA 171. Review of previous math skills needed for success. Homework discussed; examination preparation, review of homework and examination tutoring and individual consultation.
MA 171S  CALCULUS A SSECTION
Semester Hours: 4
This course offers all of the Calculus A curriculum with the addition of trigonometry review. The course is 4 credit hours but meets five days per week. The Ssection of Calculus A is intended for students with math placement level 2 but who are willing to put in extra time and effort to study trigonometry along with all of the requirements for MA 171.
Prerequisite: MA 113 or math placement level 2.
MA 172  CALCULUS B
Semester Hours: 4
Techniques of integration, applications of the integral, polar coordinates, sequences, series, and conic sections.
Prerequisites: MA 171 with a grade of C or better.
MA 181  INTRODUCTION TO STATISTICS
Semester Hours: 3
This course is designed for nonscience majors. The course is designed to provide an introduction to qualitative and quantitative statistics for research methods. The course also utilizes lab activities to instill in students working knowledge of Excel and other software statistics programs.
MA 201  CALCULUS C
Semester Hours: 4
Vectors, vectorvalued functions, partial derivatives, multiple integrals, vector fields, line and surface integrals.
Prerequisites: MA 172 with a grade of C or better.
MA 230  MATH FOR ELEMENTARY TEACHERS
Semester Hours: 3
The course emphasizes the use of logical thinking in mathematics and the development of students' understandings of algorithm design. Directed at providing the elementary education student the mathematical background necessary for an understanding of the mathematical principles that are introduced to children in the elementary grades. Emphasis on sets, logic, an understanding of the number systems (integers, fractions, decimals, percents) and number theory.
Prerequisites: Two MA courses at the 100 level or above, each with a grade of C or better. Open only to students majoring in elementary education.
MA 231  MATH FOR ELEM SCH TCHERS II
Semester Hours: 3
Rational numbers, real numbers, algebra, statistics, probability, geometric shapes, measurement, and geometry (using triangle congruence and similarity, coordinates, and transformations).
Prerequisites: MA 230 with a grade of C or better.
MA 238  APPL DIFFERENTIAL EQUATIONS
Semester Hours: 3
This course provides an elementary introduction to the techniques and necessary theory for solving the basic differential equations usually encountered by beginning science and engineering students. General topics include analytical and graphical methods for solving and analyzing first order differential equations; Euler's numerical method; the basic theory of higherorder, linear differential equations, with major emphasis on equations with constant coefficients; variation of parameters; the Laplace transform as a tool for solving differential equations. MA 238 is an AGSC core course.
Prerequisites: MA 172 & MA 201 with concurrency.
MA 244  INTRO TO LINEAR ALGEBRA
Semester Hours: 3
Systems of linear equations, matrices, matrix operations, determinants, vector spaces, bases, dimension of a vector space, inner product, GramSchmidt process, linear transformations, change of basis, similar matrices, eigenvalues and eigenvectors, diagonalization, symmetric matrices, and applications.
Prerequsites: MA 120 or MA 172.
MA 281  ELEMENTS OF STATISTICAL ANALYS
Semester Hours: 3
Descriptive statistics, fundamentals of probability theory, fundamentals of statistical inference, including estimation and hypothesis testing, and use of a typical statistical package such as MINITAB.
Prerequisites: MA 113, or MA 115, or Level 2 Placement.
MA 299  MATHEMATICS PROJECT
Semester Hour: 1
Individualized special projects in mathematics and its applications for inquisitive and well prepared
sophomorelevel undergraduate students. No credit allowed toward major or minor in mathematics. S/U grading. Approval of department chair and instructor required.
MA 301  INTRO ELEMENTARY NUMBER THEORY
Semester Hours: 3
Fundamental properties of integers, divisibility, linear Diophantine equations, congruency, Euler function, Chinese Remainder Theorem, Fermat Theorems, Wilson Theorem, and applications to Cryptography.
Prerequisite: MA 244.
MA 330  FOUNDATIONS OF MATH
Semester Hours: 3
Symbolic logic and methods of proof, set theory, combinations and permutations, equivalence relations and functions, mathematical induction and recurrence relations, cardinality (finite, countably infinite, and uncountable sets), and decimal representation of the rational and real numbers.
Prerequisites: MA 172 and MA 244.
MA 385  INTRO TO PROBABILITY & STATIST
Semester Hours: 3
This course is a calculusbased introduction to probability with special emphasis on the interplay between probability and statistics. Topics include descriptive statistics; probability spaces; discrete distributions (including the binomial, geometric, hypergeometric, and Poisson); continuous distributions (including the uniform, exponential, and normal); joint distributions; mean, variance, and general expected value; independence and correlation; the law of large numbers; and the central limit theorem.
Prerequisites: MA 201 with grade of C or better.
MA 399  MATHEMATICS PROJECT
Semester Hour: 1
Individualized special projects in mathematics and its applications for inquisitive and well prepared
juniorlevel undergraduate students. No credit allowed toward a major or minor in mathematics. S/U grading. Approval of department chair and instructor required.
MA 415  INTRO NUMERICAL METHODS
Semester Hours: 3
Derivation and analysis of approximate methods for the solution of nonlinear equations, interpolation and integration of functions, and techniques for the solution of systems of linear equations and for approximating solutions of elementary differential equations. Emphasis is placed on obtaining an intuitive understanding of both the problem at hand and the numerical method used to solve it.
Prerequisites: MA 201, MA 244, and CS 121.
MA 420  INTERM DIFFERENTIAL EQUATIONS
Semester Hours: 3
This is a second course in differential equations. Course topics include series solutions for second order differential equations and the method of Frobenius; eigenvalue and eigenvector methods for solving systems of linear first order equations; the qualitative theory of nonlinear equations; boundary value problems and the SturmLiouville theory.
Prerequisites: MA 201, MA 244 and MA 238.
MA 433  INTRODUCTION TO GEOMETRY
Semester Hours: 3
Axiomatic development of geometry, introduction to nonEuclidean geometries with emphasis in elliptic and hyperbolic geometries, selected topics in Euclidean geometry.
Prerequisites: MA 172 and Either MA 201 or MA 244.
MA 442  ALGEBRAIC STRUCTURES W/APPLIC
Semester Hours: 3
Mappings, binary operations, equivalence relations, groups and subgroups, Lagrange's theorem, homomorphisms and isomorphisms, normal subgroups and quotient groups, rings, fields, ordered integral domains, fields of quotients, error correcting codes, linear codes, and decoding.
Prerequisites: MA 244 and either MA 330 or 385.
MA 450  COMBINATORIAL ENUMERATION
Semester Hours: 3
Counting, pigeonhole principle, permutations and combinations, generating functions, principle of inclusion and exclusion, Polya's theory of counting.
Prerequisite: MA 385 or MA 442 (with concurrency).
MA 452  INTRO TO REAL ANALYSIS
Semester Hours: 3
Sequences, limits, continuity, differentiation of functions of one real variable, Riemann
integration, uniform convergence, sequences and series of functions, power series, and Taylor series.
Prerequisites: MA 330.
MA 453  INTRO TO COMPLEX ANALYSIS
Semester Hours: 3
Complex algebra, analytic functions, CauchyRiemann equations, exponential, trigonometric, and logarithmic functions, integration, Cauchy integral theorem, Morera's theorem, Liouville's theorem, maximum modulus theorem, residue theory, Taylor and Laurent series, and applications.
Prerequisites: MA 201 and one MA course at 300 level or above.
MA 456  METHODS OF PARTIAL DIFF EQUA
Semester Hours: 3
Survey of theory and methods for solving elementary partial differential equations. Topics include firstorder equations and the method of characteristics, secondorder equations, reduction to canonical form, the wave equation, the heat equation, Laplace's equation, separation of variables, and Fourier series.
Prerequisites: MA 238 and MA 244.
MA 458  APPLIED LINEAR ALGEBRA
Semester Hours: 3
Fundamental concepts of linear algebra are developed with emphasis on real and complex vector spaces, linear transformations, and matrices. Systems of equations, inverses of matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, normal matrices, canonical forms of matrices, applications of systems of linear differential equations, and use of computer software such as MATLAB.
Prerequisites: MA 238 and MA 244.
MA 460  INTRO FOURIER ANALYSIS
Semester Hours: 3
Brief development of trigonometric and exponential Fourier series, derivation of the classical Fourier transform from series, classical properties of Fourier transforms, transforms of functions, convolution, elementary development of the delta function, transforms of periodic functions, use of transforms to solve systems, introduction to the discrete transform and/or multidimensional transforms, as time permits.
Prerequisites: MA 238 and MA 244.
MA 465  INTRO TO MATH MODELING
Semester Hours: 3
Applying mathematics by formulating, analyzing, and criticizing mathematical models of various phenomena. Examples will be chosen from the physical, biological, and social sciences. Emphasizes development and use of simple mathematical models by having student study general modeling principles and case studies (some openended) drawn from various sources.
Prerequisites: MA 201, MA 238, and MA 244.
MA 487  INTRO TO MATH STATISTICS
Semester Hours: 3
This is an introductory, calculusbased course in mathematical statistics. Topics include a review of basic probability, including probability spaces, independence, distributions and expected value; the fundamental theorems of probability, including the law of large numbers and the central limit theorem; estimation, including point estimation and interval estimates for means, variances, and proportions; hypothesis testing, including tests for means, variance, and goodness of fit; an introduction to correlation and regression; theory of inference, including sufficiency and power.
Prerequisites: MA 201 and either MA 385 or ISE 390.
MA 490  SEL TOP UNDERGRAD MATH
Semester Hours: 13
Requested undergraduate topics. Approval of instructor required.
MA 499  MATHEMATICS PROJECT
Semester Hour: 1
Individualized special projects in mathematics and its applications for superior undergraduate students. No credit is allowed toward a major or minor in mathematics. S/U grading. Approval of department chair and instructor required.
Ai, Shangbing, Professor, Math, 2002, PhD, University of Pittsburgh.
Burrows, Janice, Lecturer, Math, 2018, MS, Texas A&M University.
Crook, Genevieve, Lecturer, Math, 1989, MA, University of Alabama in Huntsville.
Diagana, Toka, Chair and Professor, Math, 2018, PhD, University of Claude Bernard  Lyon 1, France.
Jackson, Tobin, Lecturer, Math, 2018, PhD, University of Alabama in Huntsville.
Johnson, Terri, Senior Lecturer, Math, 2011, PhD, University of Alabama in Huntsville.
Jones, Cynthia, Lecturer, Math, 2020, MS, University of Alabama in Huntsville.
Kansakar, Siroj, Lecturer, Math, 2012, PhD, University of Alabama in Huntsville.
Lenahan, Shelley, Senior Lecturer, Math, 2004, MA, Texas A&M.
Pekker, Mark, Professor, Math, 1987, PhD, Cornell.
Ravindran, Sivaguru, Professor, Math, 1999, PhD, Simon Fraser University, British Columbia.
Smeal, Mary Alice, Lecturer, Math, 2015, PhD, Auburn University.
Steinwandt, Rainer, Dean, College of Science, Math, 2021, PhD, University of Karlsruhe.
Vadrevu, Anuradha, MA, Math, 2017, MA, Mississippi State University.
Wu, Dongsheng, Professor, Math, 2006, PhD, Michigan State University.
Zhang, GuoHui, Associate Professor, Math, 1993, PhD, Southern Illinois University.