MATHEMATICS (045)
MATHEMATICS 100
Fundamentals of Arithmetic and Algebra
Review of arithmetic: decimals, percents and common fractions with applications; introduction to algebra, including signed numbers, linear equations, polynomial operations and graphing. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Placement test, or Consent of Department Chairperson. 150 minutes per week. 3 credit hours.
MATHEMATICS 107
Mathematics for Technicians I
Designed to provide mathematical tools for students in terminal technical curricula; emphasis on practical aspects of mathematics and less upon the theoretical; topics include elementary algebra operations, simultaneous and quadratic equations, exponents and radicals, logarithms, introduction to trigonometry, vectors, and use of calculator. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Placement test or Consent of Department Chairperson. 50, 150, 200, or 250 minutes per week. 1, 3, 4 or 5 credit hours.
MATHEMATICS 108
Mathematics for Technicians II
Continuation of Mathematics 107. Topics include trigonometric functions, solution of oblique triangles, vectors, Cartesian and polar coordinate systems, graphs of functions and basics of differential and integral calculus. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 107, or placement test, or Consent of Department Chairperson. 150, 200, or 250 minutes per week. 3, 4 or 5 credit hours.
MATHEMATICS 109
Concepts in Mathematics
Selected topics from various branches of mathematics illustrate the development of important ideas in mathematics and how these concepts are interrelated. Topics include sets and logic, numbers and sequences; measurement, interest and percent; calculators and computers; equations and linear programming, probability and statistics. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Placement test, or Consent of Department Chairperson. 150 minutes per week. 3 credit hours.
MATHEMATICS 110
Elements of Algebra
Algebra of real numbers, integer exponents, polynomial operations, factoring, rational and complex expressions, linear equations, word problems, quadratic equations, and graphical and algebraic solutions of simultaneous linear equations. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 100, or placement test. 150 or 200 minutes per week. 3 or 4 credit hours.
MATHEMATICS 112
Intermediate Algebra
Solution of linear and absolute value equations and linear inequalities; integer and rational exponents, simplification of radicals; slope and graphing linear equations; systems of linear equations; solution of quadratic equations by factoring, completing the square and using the quadratic formula; introduction to functions; applications included throughout the course. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 110, or placement test, or Consent of Department Chairperson. 200 minutes per week. 4 credit hours.
MATHEMATICS 115
Mathematics of Finance
Analysis and solution of problems in compound interest, annuities, amortization and sinking funds, evaluation of bonds, depreciation and capitalization, building and loan associations, life annuities and life insurance. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Placement test, or Grade of C or better in Mathematics 112, or Consent of Department Chairperson. 150 minutes per week. 3 credit hours.
MATHEMATICS 118
General Education Mathematics
Focuses on mathematical reasoning and solving real life problems, rather than on routine skills and appreciation. A maximum of four of the following topics is studied in depth: geometry, counting techniques and probability, graph theory, logic, game theory, linear programming and statistics. The use of calculators and computers is strongly encouraged. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Intermediate Algebra and Geometry or Consent of Department Chairperson. 200 minutes per week. 4 credit hours.
MATHEMATICS 120
Modern Mathematics
Foundations of elementary mathematics to develop appropriate backgrounds for pre and in service teachers. Introduction to new materials of present day mathematics programs. Art and science of mathematics stressed over the usual skills and development. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 112, or placement test, or Consent of Department Chairperson. 150 minutes per week. 3 credit hours.
MATHEMATICS 121
Mathematics for Elementary Teachers I
This course focuses on mathematical reasoning and problem solving. Topics include operations with rational and irrational numbers; sets; functions; logic; numeration systems and number theory; solution of linear equations in one variable. Applications are included throughout the course. Problem solving with the use of calculators and computers is emphasized throughout the course. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Intermediate Algebra and Geometry, or Consent of Department Chairperson. 200 minutes per week. 4 credit hours.
MATHEMATICS 122
Mathematics for Elementary Teachers II
This course is a continuation of Math 121. Topics include probability and statistics; lines, angles, polygons, Pythagorean Theorem, circles, solids, areas, volume, measurements. Applications are included throughout the course. Problem solving with the use of computes is emphasized throughout the course. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 121 or Consent of Department Chairperson. 200 minutes per week. 4 credit hours.
MATHEMATICS 125
Introductory Statistics
Basic descriptive statistics including frequency distributions, mode, mean and standard deviation. Permutations, combinations, probability rules and Bayes' Theorem. Binomial and normal distributions. Basic inferential statistics including sampling theory, confidence intervals for means and proportions, test of hypotheses. Chi square distribution. Introduction to correlation and regression. Includes at least one hour per week using computers in statistical application. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Intermediate Algebra and Geometry or Consent of Department Chairperson. 200 minutes per week. 4 credit hours.
MATHEMATICS 135
Finite Mathematics
Logic, sets, partitions, counting, probability rules and Bayes' Theorem, vectors and matrices, and linear programming, includes applications to behavioral sciences and to business and administration problems. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 140, or placement test, or Consent of Department Chairperson. 200 minutes per week. 4 credit hours.
MATHEMATICS 140
College Algebra
Algebra of real and complex numbers, functions, algebraic and graphical solutions of linear, quadratic and systems of equations. Logarithmic and exponential functions. Additional topics from determinants, sequences, series, the Binomial Theorem, Mathematical Induction, and elements of the Theory of Equations. Writing assignments, as appropriate to the discipline, are part Prerequisite: Grade of C or better in Mathematics 112, or placement test, or Consent of Department Chairperson. 200 minutes per week. 4 credit hours.
MATHEMATICS 141
Plane Trigonometry
Definition of trigonometric functions, graphs of trigonometric functions and their universes. Applications to triangles, law of sines and cosines, trigonometric identities, equations, vectors and applications. Complex numbers in trigonometric form and DeMoivre's Theorem. Calculators will be used. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 140, or placement test, or Consent of Department Chairperson. 150 minutes per week. 3 credit hours.
MATHEMATICS 143
Precalculus
Precalculus mathematics focuses on mathematical reasoning and solving problems to improve the mathematical skill of the student. The following topics from algebra and trigonometry are studied in depth: review of algebraic concepts, functions and graphs, conic sections, solution of systems of equations, theory of equations, sequences, series, binomial theorem, permutations and combinations, trigonometric functions and their graphs, trigonometric identities and equations, solution of triangles applications, inverse trigonometric functions. The use of graphing, calculators and computers is strongly recommended. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 113 or appropriate performance on the department placement test or consent of the department chairperson. 300 minutes per week. 6 credit hours.
MATHEMATICS 146
Discrete Mathematics
Introduction to mathematical analysis of finite collections and mathematical foundations of sequential machines, digital logic circuits, data structures, and algorithms. Includes sets, counting, recursion, graph theory, nets, automata, and formal grammars and languages. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Mathematics 140, or placement test, or Consent of Department Chairperson. 200 minutes per week. 4 credit hours.
MATHEMATICS 165
Computer Mathematics
Concepts concerning sets, significant digits, flow charts. The decimal, octal, binary and hexadecimal number systems. Elementary symbolic logic. Rational numbers in non decimal bases. Scientific notation. Operations with matrices. Graphical methods of linear programming and introduction to the simplex method. Elements of Boolean algebra. Rudiments of a programming language will be presented. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 112, or placement test, or Consent of Department Chairperson. 150 minutes per week. 3 credit hours.
MATHEMATICS 204
Calculus for Business and Social Sciences
For students of business and social science. Introduction to differential and integral calculus with applications pertinent to business and social science. The five credit hour course will include functions of several variables, partial derivatives, maximum, minimum of functions of several variables and LaGrange multipliers. Writing assignments, as appropriate to the discipline, the course. The Prerequisite: Placement test, or grade of C or better in Mathematics 140, or Consent of Department Chairperson. 200 or 250 minutes per week. 4 or 5 credit hours.
MATHEMATICS 207
Calculus and Analytic Geometry I
Equations of lines, circles and conic sections, limits and continuity. Derivatives and their applications to curve sketching, maxima minima and related rate problems. The anti-derivative and definite integral, including change of variables and the fundamental theorem of calculus. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 140 and Mathematics 141, or placement test, or Consent of Department Chairperson. 250 minutes per week. 250 minutes per week. 5 credit hours.
MATHEMATICS 208
Calculus and Analytic Geometry II
Derivatives of trigonometric and inverse trigonometric functions, logarithmic and exponential functions. Techniques and applications of integration. Indeterminate forms and Hospital's rule. Improper integrals. Infinite series and power series. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 207, or Consent of Department Chairperson. 250 minutes per week. 5 credit hours.
MATHEMATICS 209
Calculus and Analytical Geometry III
Curves in the plane and in 3 space. Polar coordinates and parametric equations. Vectors in 2 dimensional and 3 dimensional space. Derivatives of vector valued functions. Partial derivatives. Double and triple integrals. Applications. Line integrals and Green's theorem. Divergence and curl. Surface integrals. Gauss' theorem and Stokes theorem. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 208. or Consent of Department Chairperson. 250 minutes per week. 5 credit hours.
MATHEMATICS 210
Differential Equations
A first course in ordinary differential equations; solutions of first order and first degree differential equations, linear differential
equations with constant co-efficients. Linear differential equations of higher order, special differential equations of second order and differential equations of first order but not of first degree. Numerical methods, series solutions and applications included. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 208, or Consent of Department Chairperson. 150 minutes per week. 3credlthours.
MATHEMATICS 212
Linear Algebra
Introduction to Linear Algebra for students who have studied some calculus; computations with vectors and matrices will be
emphasized, proofs also will be examined; major topics include systems of linear equations and matrices, determinants, vectors in Euclidean space, abstract vector spaces, linear mappings, computation of eigenvalues and eigenvectors. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 208,
or Consent of Department Chairperson. 150 minutes per week. 3 credit hours.
MATHEMATICS 216
Statistics for Business Majors
The basic concepts of statistical analysis used in business decision making including probability and how uncertainty is dealt with in real life. The student will analyze and work out simple
problems and should be able to recognize applications of different statistical techniques, interpret the results of analysis and recognize instances in which statistical techniques have been misused. The following concepts and statistical techniques are included: measure of central tendency and variability, random variable and probability distributions, estimation, tests of chi square tests, linear regression and correlations and one way analysis of variance. Applications are included throughout the course. Problem solving with the use of calculators and computers is emphasized. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: Grade of C or better in Mathematics 135, or placement test, or Consent of Department Chairperson. 200 minutes per week. 4 credit hours.
MATHEMATICS 299
Special Topics Mathematics
Special Topics in Mathematics will be discussed along with appropriate computer and calculator activities. New developments will be emphasized, especially materials useful in K 12 education and industry. Each special topic course will have a sub title. Students can take courses with different sub titles and receive credit for each. Writing assignments, as appropriate to the discipline, are part of the course. 50, 100, 150, 200, 250, or 300 minutes per week. 1-6 credit hours.