Courses
Math 100: Elementary Algebra
An introductory course in basic algebra with applications. Topics include fundamental operations, fractions, real numbers, algebraic equations, linear equations and inequalities, exponents and polynomials, factoring and rational equations.
This is a course for those students who are not ready for Math C105, Intermediate Algebra. This course is a three university semester hour course which means it does not meet distribution requirements or count toward the minimum semester hour requirement for graduation. This course is not open to those students who have passed the Math Placement Exam (Basic algebra exam) or passed Math C105 or above.
3 semester hours.
Math C105: Intermediate Algebra
A survey course in selected topics from college algebra and elementary functions. This course satisfies the core curriculum basic skills mathematics requirement.
Topics include set notation, number systems, rules of algebra, operations with polynomials, factoring, linear equations and inequalities, solving polynomial equations, linear systems, and functions.
Prerequisite: "C" or better in Math 100 or Math placement test.
3 semester hours.
Math C105A: Intermediate Algebra
Selected topics from college algebra and the elementary functions covered at a slower pace than Math C105.
Prerequisite: Math 100 or Placement test.
3 semester hours.
Math 106: Brief Calculus
A survey of differential and integral calculus for students in the behavioral, life and social sciences. Limits and continuity. Definition of the derivative. Rules for differentiation, the anti derivative. Indefinite and definite integrals. Selected topics in analytic geometry. Applications from business, economics and life sciences. The course does not cover trigonometry functions.
Prerequisite: "C-" or better in Math C105 or placing into Math 109 on the Math placement test.
3 periods; 3 semester hours.
Math 108: Ideas of Mathematics
A survey of mathematical ideas and their applications. The course will focus on five core areas: logic, algebraic systems, functions and graphs, analysis, and probability and statistics. Applications will be drawn from the social sciences, natural sciences, arts and technology. The course will introduce the use of graphic calculators and computer application software as tools to enhance creative thinking. Intended for non specialists, the course will explore the beauty and power of mathematical reasoning through problem solving and readings.
Prerequisite: Competency in high school level intermediate algebra as demonstrated by the University placement exam or completion of Math 105 with a "C-" or better.
4 periods (3 lecture / 1 lab). 3 semester hours.
Math 109: Precalculus Mathematics
A course for those intending to study calculus at the university level. Topics from college algebra and trigonometry. Definition of functions. Algebra of functions. Elementary functions and their graphs. Inverse functions. Polynomials, rational and algebraic functions. Trigonometric identities. Systems of equations. Cramer's rule. Augmented matrices and Gaussian elimination.
Prerequisite: "C-' or better in Math C105 or Math placement test.
3 semester hours.
Math 110: Calculus & Analytic Geometry I
Review of functions. Limits and continuity of functions. Composite functions. Definition of the derivative. Derivatives of algebraic and trigonometric functions. Rules of differentiation; sum rule, difference rule, product rule, quotient rule, chain rule. Rolle's theorem and the mean value theorem. Applications of the derivative; equations of motion, linear approximation of functions, error analysis, topics from geometry, maxima and minima of functions, curve sketching, related rates. L'hopital's rule. Antidifferentiation and the indefinite integral. Fundemental theorem of clculus. Definite integrals. Integration by substitution. Applications of integration. Areas and volumes. Introduction to a symbolic manipulation software.
Prerequisite: "C-' or better in Math 109 or Math placement test.
4 semester hours.
Math 111: Accelerated Calculus & Analytic Geometry I
Covers the same material as Math 110, but at a faster pace. Either Math 110 or Math 111 is required of the mathematics majors.
Prerequisite: "C-' or better in Math 109 or Math placement test.
4 semester hours.
Math 112: Calculus & Analytic Geometry II
Derivatives and integrals involving exponential and logarithmic functions. Inverse trigonometric functions. Hyperbolic functions. Techniques of integration; substitution, trigonometric substitution. Parametric equations. Polar coordinates. Integration by parts. Integration via partial function expansion. Integral tables and symbolic manipulation software. Improper integrals. Infinite sequences and series. Taylor and MacLaurin series. Applications from geometry, engineering and physics.
Prerequisite: "C-' or better in Math 110.
4 semester hours.
Math 200: Mathematics Cooperative Work Study
Student entering the Mathematics Cooperative Education Program take this course each semester that they are employed full time in paid work assignments. A written report will be required describing achievements resulting from the work experience.
Prerequisite: Completion of at least 30 semester hours and permission of the department.
1 semester hour with a maximum of 6 semester hours to be applied to the degree.
Math 203: Elementary Statistics
A non calculus introduction to applied statistics for business, life and social science students. Probability. Classification of data, averages, dispersion, frequency distributions, confidence intervals and test of significance. Elementary linear regression and correlation. The course will make extensive use of statistical software.
Prerequisite: Math 105.
3 semester hours.
Math 212: Introduction to Abstract Math and Boolean Algebra
This course is designed to provide the mathematical background and basic concepts needed in upper division mathematics and computer science courses. Topics covered include basic logic, methods of proof, set theory, relations and functions, development of the real numbers system and introduction to Boolean algebra. Required of mathematics major and strongly recommended for all science and engineering majors.
Prerequisite: Math 109 or equivalent.
3 semester hours.
Math 214: Linear Algebra
System of linear equations and matrix algebra, determinants, vector spaces, eigen vectors, linear transforms and inner product spaces. Required of math majors.
Prerequisite: Math 110.
3 semester hours.
Math 215: Calculus & Analytic Geometry III
Vectors, two and three dimensional vector spaces. Cartesian coordinates, scalar and vector product, triple products, normal vectors and curvature tangential vectors. Partial differentiation; functions of several variables, linear approximations, extrema of surfaces, Lagrange multipliers. Vector calculus and analytic geometry, gradient of a scalar function, divergence and curl of vector functions. Coordinate systems; spherical and cylindrical coordinates. The Jacobian of transformation. Multiple integrals in cartesian and other coordinate systems. Areas and volumes. Stoke's and Green's theorems.
Prerequisite: "C-" or better in Math 112.
4 semester hours.
Math 227: Discrete Structures
This course is an introduction to some of the discrete mathematical structures relevant to computer science, including set theory, proportional calculus, predicate calculus, algebraic operations and relations, counting techniques and graph theory. Required of math majors. Identical to Computer science 227.
Prerequisite: Math 110 and CS 101.
3 semester hours.
Math 301: Differential Equations
Ordinary differential equations with applications. Initial value problems and elementary boundary value problems. First order differential equations; linear, separable, homogeneous, and exact. Integrating factors. Second and higher order differential equations; homogeneous equations with constant coefficients, characteristics equations and their roots, homogeneous Euler type equations. Forms of the general solution. Non homogeneous equations; method of undetermined coefficients and method of variation of parameters. Series solutions about ordinary and singular points. Laplace transform methods for initial value problems. Second boundary value problems; eigen functions and eigen values. Systems of first order linear differential equations. Numerical methods; Taylor series expansions and Runge-Kutta methods.
Prerequisite: "C-" or better in Math 112.
3 semester hours.
Math 314: Numerical Methods
A first course dealing with basic numerical methods for finding roots of non linear equations, interpolation theory, approximation of functions, numerical integration and differentiation, numerical solutions of systems of linear equations, the matrix eigen value problem and the numerical solutions of ordinary differential equations.
Prerequisite: Math 110 and CS 101.
3 semester hours.
Math 319: Introduction to Theory of Numbers
Fundamental properties of integers, divisibility, primes. Algorithms and factorization. Congruencies and diophantine equations. Number theoretic functions. Order and primitive roots. Elementary results on the distribution of primes. Applications in cryptography. Especially recommended for prospective secondary school teachers.
Prerequisite: Math 215 or permission of the instructor.
3 semester hours.
Math 323: Probability and Statistics I
Classical theory of Probability. Sample spaces, probability and conditional probability, random variables and their distributions. Standard discrete distributions, normal distributions, moment generating functions and central limit theorems.
Prerequisite: Math 112.
3 semester hours.
Math 336: Linear Programming
Linear programming formulation of optimization problems, hyperplanes, convex sets, linear independence, bases of vector spaces, matrix inversion, theory and computation techniques of simplex, revised simplex methods, degeneracy, duality. Transportation and assignment problems, integer programming and network flows.
Prerequisite: Math 214 & 227.
3 semester hours.
Math 347: Advanced Calculus I
Limits continuity, differentiability, integrability. Functions of several variables, partial differentiation, implicit functions, multiple integrals line integrals, Green's theorem. Required of Math majors.
Prerequisite: Math 215.
3 semester hours.
Math 348: Advanced Calculus II
Continuation of Math 347. Line and surface integrals, Green's theorem, limits, indeterminate forms, infinite series, improper integrals, Fourier series.
Prerequisite: Math 347.
3 semester hours.
Math 357: Applied Algebraic Structures
A sequel to Math 227 this course includes both the theoretical detail and computer applications of algebraic structures, including algebraic operations and relations, advanced counting techniques, and topics from applied linear algebra, finite fields, computability or graph theory. Identical to CS 357.
Prerequisite: Math 214 & 227.
3 semester hours.
Math 380: Selected Topics in Mathematics
Selected topics such as calculus of variations which are not currently in other math courses. Topics will vary from semester to semester. May be taken more than once for credit when topics are different.
1-3 semester hours.
Math 391: Modern Algebra
Set theory, including the concepts of mapping and denumerable and non denumerable sets. Study of abstract structures such as groups, rings fields and algebra. Required for math majors.
Prerequisite: Math 214.
3 semester hours.
Math 393: Senior Seminar in Mathematics
This course is, in part, designed to acquaint the participants with mathematics reference works, resource materials, periodicals, and expository writings. Each students is required to write several papers and to make periodic oral presentations. Visiting speakers conduct some of the seminars. Required of mathematics majors and normally taken in the junior or senior year.
Prerequisite: Math 214 or permission of instructor.
3 semester hours.
Math 399: Independent Study
Prerequisite: Permission of Division Director.
1-3 semester hours.
Math 401: Advanced Analysis for Scientists and Engineers I
Partial differential equations, bessel functions, Legendre polynomials. Fourier series, boundary and initial value problems, topics in vector analysis, tensor analysis.
Prerequisite: Math 301 and one semester of advanced calculus strongly recommended.
3 semester hours.
Math 402: Advanced Analysis for Scientists and Engineers II
Functions of a complex variable, conformal mapping, calculus of residues, operators.
Prerequisite: Math 301 and one semester of advanced calculus strongly recommended.
3 semester hours.
MATH 414: Numerical Analysis
Interpolation, numerical differentiation and integration, numerical solution of differential equations, least squares, error analysis. Prerequisite: Math 215 (Calculus and Analytic Geometry III) or equivalent. Math 301 (Differential Equations) strongly recommended.
It provides the perspective of a person who may teach this material at either the secondary or tertiary level.
3 semester hours
Syllabus
Numerical Analysis Methods:
- The Bisection Method
- Lagrange Interpolating Polynomial
- The Trapezoid Rule
- Simpson's Rule
- Gaussian Quadratures
- Double Integrals
- Numerical Differentiation
- Euler's Method
- The Runge Kutta Method
- The Matrix Algebra
- Lu-decomposition
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