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OCC MATH COURSES
MAT 1040 .3 Credits
Fundamentals of Arithmetic
Prerequisite: COMPASS math placement test results appropriate for this course within the last two years.
Addition subtraction, multiplication, and division of whole numbers; prime and composite numbers; divisibility; fractions and decimals; rounding and estimating; word problems; ratio and proportion; percent and applications; exponents and square roots; length, area and volume; operations with integers; solving basic algebra equations.
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MAT 1050 ..4 credits
Preparation for Algebra
Prerequisite: COMPASS math placement test results appropriate for this course within the last two years.
This course is designed for the student who has very little or no algebra and plans to take Elementary Algebra. Topics will include whole numbers, fractions, and decimals; ration, proportion, and percent; positive exponents and square roots; perimeter, circumference, area, and volume; Pythagorean Theorem; positive and negative numbers; solving equations and word problems; operations with polynomials; graphs of lines; slope. Instruction will emphasize math study skill development and will be varied to include lecture, discovery and practice.
MAT 1070 .3 credits
Business Mathematics
Prerequisite: COMPASS math placement test results appropriate for this course within the last two years.
Review of addition, subtraction, multiplication and division of whole numbers, fractions and decimals; computing the average, ratio and proportion; working with percent; application of all the above to problems involving profit and loss, time cards, payroll cash, and trade discounts, invoices, markups, depreciation, small loans and installment purchasing, simple and compound interest and applications, annuities; use of equations and formulas in the solution of business problems.
MAT 1100 4 Credits
Elementary Algebra
Prerequisite: MAT 1050 (or equivalent college transfer course) with a C or better within the last three years or COMPASS math placement test results appropriate for this course within the last two years.
Properties of real numbers; first degree equations and inequalities; word problems; integer exponents; polynomials and factoring; rational expression; graphing linear equations and inequalities; solving systems by graphing, addition and substitution; radicals; quadratic equations and the quadratic formula.
MAT 1140 ..3 Credits
Plane Geometry
Prerequisite: MAT 1110 (or equivalent college transfer course) with a C or better within the last three years for COMPASS math placement test results appropriate for this course within the last two years.
General Education Attributes ..2,3
The study of the properties and characteristics of geometric figures through an axiomatic approach that focuses on proof and the building of a logical system. In particular, the material includes angles, similarity and congruence of triangles, parallel and perpendicular lines, quadrilaterals, right triangles, circles, area and volume and constructions.
MAT 1150 4 Credits
Intermediate Algebra
General Education Attributes .3,7
Prerequisite: MAT 1100 (or equivalent college transfer course) with a C or better within the last three years or COMPASS math placement test results appropriate for this course within the last two years.
Review of basics from elementary algebra; absolute value equations and inequalities; radical and rational expressions; rational exponents; complex numbers; completing the square; the discriminant; quadratic inequalities; equations of lines; systems of equations; conic sections; functions, inverses and their graphs; word problems; exponential and logarithmic functions.
MAT 1500 .4 Credits
Finite Mathematics
Prerequisite: MAT 1150 (or equivalent college transfer course) with a C or better within the last three years or COMPASS math placement test results appropriate for this course within the last two years.
General Education Attributes ..2,3
Designed primarily for business and social science students. Elementary functions, systems of linear equations, linear models, matrix theory, linear programming, set theory, combinatorials, probability theory and decision making. NOTE: This course will not substitute for MAT 1540, MAT 1560 or MAT 1630 as preparation for MAT 1710.
MAT 1540 . 4 Credits
College Algebra
Prerequisite: MAT 1150 (or equivalent college transfer course) with a C or better within the last three years or COMPASS math placement test results appropriate for this course within the last two years.
General Education Attributes .3,7
Brief review of algebra fundamentals; equations quadratic in form; rational inequalities; graphing polynomials and rational functions; algebra of functions; including composition; inverses functions; theory of equations, Rational Root Theorem and Descartes Rule; exponential and logarithmic functions; matrices, determinants and linear programming; partial fractions; conic sections; sequences and series; permutations and combinations; Binomial Theorem.
MAT 1560 . 3 Credits
Trigonometry
Prerequisite: MAT 1150 (or equivalent college transfer course) with a C or better within the last three years or COMPASS math placement test results appropriate for this course within the last two years.
General Education Attributes ..3,7
Definition of the trigonometric functions as circular functions; graphs of the trigonometric functions; development and use of identities; solution of equations; inverse functions; applications; definition of the functions in a right triangle; solution of right triangles solution of non-right triangles by use of Law of Sines and Law of Cosines; complex numbers and De Moivres Theorem; vectors; polar coordinates.
MAT 1580 .4 Credits
Statistics
Prerequisite: MAT 1150 (or equivalent college transfer course) with a C or better within the last three years or COMPASS math placement test results appropriate for this course within the last two years.
General Education Attributes. ..3, 7
Organization and presentation of data; analysis of data, including mean, median, mode, range and standard deviation; elementary probability theory using combinations and permutations; Binomial Distribution; Normal Distribution; Student Distribution; Chi- square Distribution; F-Distribution: hypothesis testing; estimation, regression and correlation, analysis of variance (ANOVA), non-parametric statistics. Introduction to statistical analysis using current technology.
MAT 1600 ..4 Credits
Applied Calculus
Prerequisite: MAT 1500 or MAT 1540 (or equivalent college transfer course) with a C or better within the last three years or COMPASS math placement test results appropriate for this course within the last two years.
General Education Attributes .3,7
Designed primarily for business and social science students. Elementary functions, the limit of a function, the derivative, techniques of differentiation, the exponential and logarithmic functions with derivatives and applications, the integral, techniques of integration, applications of the integral and introduction to multivariable calculus. Note: Will not substitute for MAT 1710.
MAT 1630 .4 Credits
College Algebra and Trigonometry
Prerequisite: MAT 1540 and MAT 1560 (or equivalent college transfer courses) with a C or better within the last three years or COMPASS math placement test results appropriate for this course within the last two years.
General Education Attributes 3.7
This course is meant to be a review of the real number system and basic algebra, including inequalities, absolute value, exponents and radicals; functional notation and composition of functions; linear and quadratic functions; rational and algebraic functions; exponential and logarithmic functions; definition of trigonometric functions using the unit circle; graphs of the trigonometric functions; development and use of identities; right triangle trigonometry; Law of Sines; Law of Cosins; complex numbers including trigonometric form; theory of equations; theory and application of matrices and determinants; inverse functions.
MAT 1730 4 Credits
Calculus I
Prerequisite: MAT 1630 (or equivalent college transfer course) with a C or better within the last three years, or MAT 1540 and MAT 1560 (or equivalent college transfer courses) with a C or better within the last three years, or COMPASS math placement test results appropriate for this course within the last two years.
General Education Attributes 3,7
Limits; continuity, concept of the derivative; differentiation of algebraic and transcendental functions, applications of the derivative, antidifferentiation, the indefinite integral, the definite integral, the Fundamental Theorem of Calculus, numerical integration; integration involving logarithmic functions and some application of integral. Some of the course concepts will be explored and /or enhanced with current technology.
MAT 1740 ..4 Credits
Calculus II
Prerequisite: MAT 1730 (or equivalent college transfer course) with a C or better.
This course contains more applications of the definite integral, integrals of inverse trigonometric functions and hyperbolic functions, an introduction to differential equations; applications of the definite integral; techniques of integration, limits of indeterminate forms, improper integrals, two-dimensional analytic geometry using polar and parametric equations and infinite series. Some of the course concepts will be explored and/or enhanced with current technology.
MAT 2530 .4 Credits
Mathematics for Elementary Teachers I
Prerequisite: MAT 1150 (or equivalent college transfer course) with a C or better within the last three years or COMPASS math placement test results appropriate for this course within the last two years.
General Education Attributes ..1,2,3
Throughout this course students will be introduced to the National Council of Teachers of Mathematics (NCTM) Standards and will participate in their implementation. Students will work in collaborative problem solving groups, make presentations to the class, learn and teach a math game, work with manipulatives, observe an elementary school classroom and share ideas with the purpose of developing philosophy and attitude as well as improving speaking, writing, thinking and computational skills. Math content includes elementary set theory; basic algorithms of arithmetic including operations using whole numbers, integers, fractions, decimals and percents; the binary number system and other non-base 10 systems; elementary number theory; logic; problem solving techniques; student usage of calculators, computers and other technology.
MAT 2540 .4 Credits
Mathematics for Elementary Teachers II
Prerequisite: MAT 2530 (or equivalent college transfer course) with a C or better
Course topics will be developed with the use of problem solving strategies, manipulatives, technology and collaborative learning in conjunction with NCTM and AMATYC standards. Topics include solving equations and inequalities, graphs and equations of functions, elementary probability and statistics, informal geometry (including symmetry and transformation, similarity and congruence, area, perimeter and volume) and systems of measurement. Topics will be taught with emphasis on effective teaching methodology. Students will be encouraged to share ideas and make presentations to the class, develop philosophy and attitude and improve their speaking, writing and thinking about mathematics.
MAT 2740 .4 Credits
Calculus III
Prerequisite: MAT 1740 (or equivalent college transfer course) with a C or better.
The course topics include three-dimensional analytic geometry and vectors; multivariable functions, partial differentiation with applications, multiple integrals and applications, cylindrical and spherical coordinates; vector calculus. Some of the course concepts will be explored and/or enhanced with current technology.
MAT 2810 .4 Credits
Differential Equations
Prerequisites: MAT 2740 (or equivalent college transfer course) with a C or better.
A first course in ordinary differential equations. Solution of principal types of first order differential equations, with applications; solution pf higher order linear equations with constant coefficients, including the methods of undetermined coefficients and variation of parameters; solution of linear equations by Laplace Transforms and by infinite series; numerical approximation methods; solution of systems of linear differential equations; solution and applications of higher order differential equations.
MAT 2880 4 Credits
Linear Algebra
Prerequisite: MAT 1740 (or equivalent college transfer course) with a "C" or better.
Recommended: MAT 2740.
The topics covered are systems of linear equations, matrix operations and properties of matrices, vector spaces (subspace of R) linear transformations, determinants, Eigenvectors and Eigenvalues, Diagonalization and inner products.