Course Descriptions

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MATHEMATICS

MTH20 Basic Mathematics
4 credits (4 lec hrs/wk)
A course designed to: (1) introduce students to various applications of basic mathematics and (2) prepare students for elementary algebra by strengthening their foundations in the real number system. Topics include: whole numbers and their operations, fraction and decimal notation, ratio and proportion, percent notation,
measurement and geometry, and solution of simple equations.
Prerequisite: Appropriate score on placement test.

MTH55 Introductory Technical Mathematics
3 credits (3 lec hrs/wk)
Basic arithmetic operations, with an emphasis on applications. Offered by the mathematics department in cooperation with the Professional Technical Education faculty.
Prerequisite: Appropriate score on placement test.

MTH70 Elementary Algebra
4 credits (4 lec hrs/wk)
A study of the concepts and principles considered in introductory algebra. Topics include: signed numbers; algebraic expressions; linear equations and inequalities; graphs of linear equations; polynomial expressions, operations, and factorizations; square roots and radical expressions. Students are not required to have previous experience with algebra.
Prerequisite: MTH20 or MTH25 or MTH55 with a “C” or better or an appropriate score on placement test.

MTH80 Technical Mathematics I
3 credits (3 lec hrs/wk)
Basic geometric concepts with applications, graphing in a rectangular coordinate system, basic algebra concepts with applications, basic statistics, and right triangle trigonometry. Offered by the mathematics department in cooperation with the Professional Technical Education faculty.
Prerequisite: MTH20 or MTH55 with a “C” or better.

MTH85 Technical Mathematics II
3 credits (3 lec hrs/wk)
Introduction to plane trigonometry emphasizing practical applications. Offered by the mathematics department in cooperation with the Professional Technical Education faculty.
Prerequisite: MTH80 with a “C” or better.

MTH94 Intermediate Algebra I
4 credits (4 lec hrs/wk)
A study of the concepts and principles considered in intermediate algebra. Topics include: linear equations and inequalities, the Cartesian plane, graphs of equations, functions and their graphs, polynomial operations and factorizations, rational expressions and equations.
Prerequisite: MTH70 with a “C” or better, or appropriate score on placement test.

MTH95 Intermediate Algebra II
4 credits (4 lec hrs/wk)
A study of the concepts and principles considered in intermediate algebra. Topics include: radical expressions, complex numbers, quadratic equations, quadratic functions and their graphs, conic sections, exponential and logarithmic functions and their graphs, exponential and logarithmic equations.
Prerequisite: MTH94 with a “C” or better.

MTH 97 Elementary Geometry
4 credits (4 lec hrs/wk)
A study of the concepts and principles considered in introductory geometry. Topics include: lines, angles, and their measures; parallel and perpendicular lines; triangles and polygons; congruent triangles; quadrilaterals; similar triangles; circules; perimeters and areas of geometric figures; right-triangle trigonemetry; geometric constructions.
Prerequisite: MTH95 with a “C” or better.

MTH105 Introduction to Contemporary Mathematics
4 credits (4 lec hrs/wk)
Topics include systems of linear equations, statistics, mathematical modeling, problem solving, and logic. This course is designed for students who have completed 1.5 to 2 years of high school algebra and a year of geometry, who have a "non-science" major, and need to complete a term of college-level mathematics.
Prerequisite: MTH95 with a “C” or better or appropriate score on placement test.

MTH111 College Algebra
4 credits (4 lec hrs/wk)
A study of the concepts and principles considered in precalculus. Topics include: rational expressions, solution of equations and inequalities, analysis of functions and their graphs, polynomial and rational functions and their graphs, systems of linear equations, sequences and series.
Prerequisite: MTH95 with a “C” or better or appropriate score on placement test.

MTH112 Elementary Functions
4 credits (4 lec hrs/wk)
A study of the concepts and principles considered in precalculus. Topics include: exponential and logarithmic functions and their graphs; exponential and logarithmic equations; trigonometric functions and their graphs; trigonometric identities,
equations, and formulas; oblique-triangle trigonometry; complex numbers, and DeMoivre’s theorem.
Prerequisite: MTH111 with a “C” or better or appropriate score on placement test.

MTH198/298 Independent Study
1-4 credits (hrs to be arranged)
Prerequisite: Instructor consent.

MTH211 Fundamentals of Elementary Mathematics I
3 credits (3 lec hrs/wk)
A foundation in mathematics for elementary teachers. Topics include: introduction to problem solving, number systems, number theory, logic, sets, relations, and functions.
Prerequisite: MTH95 with a “C” or better or appropriate score on placement test.

MTH212 Fundamentals of Elementary Mathematics II
3 credits (3 lec hrs/wk)
A foundation in mathematics for elementary teachers. Topics include: rational numbers, exponents, decimals, and applications. Probability and statistics will be introduced.
Prerequisite: MTH211 with a “C” or better.

MTH213 Fundamentals of Elementary Mathematics III
3 credits (3 lec hrs/wk)
A foundation in mathematics for elementary teachers. Topics include Euclidean geometry, constructive geometry, measurement, motion, and tessellation.
Prerequisite: MTH212 with a “C” or better.

MTH231 Elements of Discrete Mathematics I
4 credits (4 lec hrs/wk)
Topics include: propositional calculus (the logic of compound statements), predicate calculus (the logic of quantified statements), elementary number theory and proof methods, sequences and mathematical induction and set theory. The first course of a two-term sequence strongly recommended for computer engineering, computer science, and mathematics majors.
Prerequisite: MTH251 with a “C” or better.

MTH232 Elements of Discrete Mathematics II
4 credits (4 lec hrs/wk)
Topics include: functions, recursion, graphs of functions, coordinate diagrams, order notation, efficiency of algorithms, relations, partially and totally ordered sets, (topological) graph and tree theory. The second course of a two-term sequence strongly recommended for computer engineering, computer science and mathematics majors.
Prerequisite: MTH231 with a “C” or better.

MTH241 Calculus for Business and Social Science I
4 credits (4 lec hrs/wk)
Introduction to differential and integral calculus of polynomial, rational, exponential, and logarithmic functions, with applications in the social and manager sciences. The emphasis will be on an intuitive approach and on the applications of differentiation.
Prerequisite: MTH111 with a “C” or better or appropriate score on placement test.

MTH242 Calculus for Business and Social Science II
4 credits (4 lec hrs/wk)
Introduction to differential and integral calculus of polynomial, rational, exponential, and logarithmic functions, with applications in the social and manager sciences. The emphasis will be on an intuitive approach and on the applications of integration.
Prerequisite: MTH241 with a “C” or better or appropriate score on placement test.

MTH243/BA232 Introduction to Probability and Statistics
4 credits (4 lec hrs/wk)
Introduces elementary statistics techniques to aid decision-making in the business environment. Emphasis is on statistical inference, probability, sampling, estimation, and hypothesis testing.
Prerequisite: MTH95 with a “C” or better.

MTH251 Calculus I (Differential Calculus)
4 credits (4 lec hrs/wk)
Topics include: pre-calculus concepts and principles; limits and their properties, continuous functions; derivatives and their properties; the chain rule, implicit differentiation; relative extrema, the first and second derivative tests; applications involving rectilinear motion of a particle and optimization of functions. This course covers the standard differential calculus topics required for engineering, mathematics, and science majors.
Prerequisite: MTH112 with a “C” or better.

MTH252 Calculus II (Integral Calculus)
4 credits (4 lec hrs/wk)
Topics include: anti-derivatives, Riemann sums, integrals and their properties; the first and second fundamental theorems of calculus; calculation of length, area, volume, work, and resultant force via integration; derivatives and integrals of exponential, logarithmic, hyperbolic, and various inverse functions; indeterminate forms and L'Hôpital's rule. This course covers the standard integral calculus topics required for engineering, mathematics, and science majors.
Prerequisite: MTH251 with a “C” or better.

MTH253 Calculus III
(Infinite Sequences and Series)
4 credits (4 lec hrs/wk)
Topics include: principles of integral evaluation, improper integrals; infinite sequences and series; convergence tests for infinite series; Taylor series for functions; translated and rotated conic sections. This course covers the standard sequences and series topics required for engineering, mathematics, and science majors.
Prerequisite: MTH252 with a “C” or better.

MTH254 Vector Calculus I (Introduction to Vectors and Multidimensional Calculus)
4 credits (4 lec hrs/wk)
Topics include: polar coordinates, conic sections, parametric equations, three-dimensional space, analytic geometry, vector algebra, space curves, vector-valued functions, vector calculus.
Prerequisite: MTH253 with a “C” or better.

MTH255 Vector Calculus II (Differential and Integral Vector Calculus)
4 credits (4 lec hrs/wk)
Topics include: functions of several variables, partial derivatives; iterated integration; multiple integrals; divergence and curl of vector fields; line and surface integrals; Green's, Gauss', and Stokes' theorems.
Prerequisite: MTH254 with a “C” or better.

MTH256 Differential Equations
4 credits (4 lec hrs/wk)
Topics include: first-order linear and nonlinear ODEs, second order linear ODEs, series solutions to second-order linear ODEs, Laplace transforms, systems of linear ODEs.
Prerequisite: MTH255 with a “C” or better.

MTH260 Matrix Methods and Linear Algebra
4 credits (4 lec hrs/wk)
Topics include: matrix concepts and algebra; determinants and inverses of matrices; solution methods for systems of linear equations; linear independence, linear transformations, and vector spaces; bases and coordinates; eigenvalues and
eigenvectors; diagonalization of matrices. This course covers the standard linear algebra topics required for engineering, mathematics, and science majors.
Prerequisite: MTH255 with a “C” or better.

MTH265 Probability and Statistics with Calculus
4 credits (4 lec hrs/wk)
Topics include: probability theory, random variables and probability distributions, probabilistic expectation, classical discrete and continuous probability distributions, sampling theory and sampling distributions; estimation and confidence intervals, hypothesis tests and statistical significance, curve fitting and regression analysis. A calculus-based probability and statistics course strongly recommended for engineering,
mathematics, and science majors.
Prerequisite: MTH252 with a “C” or better.

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