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Bucks County Community College

Catalog

  Catalog  —  Course Descriptions  —  Science, Technology, Engineering, & Mathematics  —  Mathematics

Mathematics

Mathematics Recitation

MATH085
EXPERIMENTAL

This course provides individualized support and instruction to enhance success in mathematics courses.

1 credits
Prerequisite: Student must be registered for a 15 week Math 095 or Math 103 class.

Fast Track Mathematics

MATH089

This course reviews various mathematical concepts from Pre-Algebra through Pre-Calculus. After taking the math placement test, students work with math software to strengthen their mathematical knowledge and potentially increase their placement score through the software, leading to continue with other courses within a program of study earlier.

1 credits
Prerequisite: Math Placement Test
Corequisite: None

Prealgebra

MATH090

This course provides preparation for study in algebra. Topics include a review of basic arithmetic skills, fractions, and decimals, an introduction to signed numbers, variables, equation solving, and data analysis. Transferability is determined by transfer institution.

3 credits
Prerequisite: Math Placement Test score of 1
Corequisite: None

Basic Algebra

MATH095

This is an introductory course in Algebra. Topics include operations with numerical and algebraic expressions, solving linear and absolute value equations and inequalities; factoring polynomials, solving quadratic equations, and graphing linear equations and inequalities. Study skills are also emphasized. Transferability is determined by transfer institution.

3 credits
Prerequisite: Math Placement Test score of 3 or MATH090 (C or better)
Corequisite: None

Mathematical Concepts I

MATH101

This course is primarily for liberal arts and education majors, and emphasizes mathematical systems and reasoning. Course content includes sets, symbolic logic, and elementary probability and such optional topics as basic statistics, game theory, or linear programming.

3 credits
Prerequisite: Math Placement Test score of 5 or higher or MATH095 (C or better)

Mathematics for Educators I

MATH102

This course provides a preparation in mathematics for students interested in elementary education. Topics include inductive and deductive reasoning, elementary logic, sets, numeration systems, the real number system and its subsets, number theory, and algebraic equations and inequalities.

3 credits
Prerequisite: Math Placement Test score of 5 or MATH095 (C or better)
Corequisite: None

Intermediate Algebra

MATH103

This course provides a preparation for more advanced study in mathematics and related fields. Topics include simplifying algebraic, rational, and radical expressions; solving quadratic, rational, radical, absolute value, exponential, and logarithmic equations; solving compound and absolute value inequalities, and graphing functions.

3 credits
Prerequisite: Math Placement Test score of 5 or MATH095 (C or better)
Corequisite: None

Mathematics for Educators II

MATH105

This course provides a continuation of the mathematics preparation for students interested in elementary education. Topics include graphs, functions, probability, statistics, measurement, and geometry.

3 credits
Prerequisite: MATH102 (C or better) or Permission of the Department of Science, Technology, Engineering & Mathematics
Corequisite: None

Elementary Statistics

MATH115

This course is primarily for business, science, liberal arts, and education majors. Topics studied include descriptive measures for empirical data, theory of probability, probability distributions, sampling distributions of statistics from large and small samples, estimation theory, hypothesis testing, correlation, and regression.

3 credits
Prerequisite: Math Placement Test score of 7 or higher or MATH101 (C or better) or MATH103 (C or better)

Elementary Statistics (Honors section)

MATH115H

This course is primarily for business, science, liberal arts, and education majors. Topics studied include descriptive measures for empirical data, theory of probability, probability distributions, sampling distributions of statistics from large and small samples, estimation theory, hypothesis testing, correlation, and regression.

3 credits
Prerequisite: Math Placement Test score of 7 or higher or MATH101 (C or better) or MATH103 (C or better); admission to the Honors@Bucks program

Finite Mathematics for Business

MATH117

This is primarily for students of accounting, business, economics, management, data processing, technologies, and related fields. Topics include linear and quadratic models, matrix theory, linear systems and linear programming, probability, and expected value.

3 credits
Prerequisite: Math Placement Test score of 7 or higher or MATH103 (C or better)

Business Calculus

MATH118

This is an introduction to basic calculus with emphasis on applications to business, economics, management, information science, and related fields. Topics include relations and functions, limits, continuity, derivatives, techniques of differentiation, chain rule, applications of differentiation, antiderivatives, the definite integral, the fundamental theorem of calculus, and applications of integration.

3 credits
Prerequisite: Math Placement Test score of 8 or higher or MATH117 (C or better) or MATH120 (C or better)

College Algebra

MATH120

This course is designed to strengthen and increase the understanding of basic algebraic concepts before a student undertakes advanced study in mathematics. Topics include algebra of the real numbers, algebraic, exponential, and logarithmic functions and their graphs, systems of equations, inequalities, and absolute value.

4 credits
Prerequisite: Math Placement Test score of 7 or higher or MATH103 (C or better)

Discrete Mathematics

MATH121

This course enables students to strengthen and increase the understanding of discrete mathematics with special emphasis on computer science applications. Topics include sets, number systems, the nature of proof, formal logic, functions and relations, combinatorics, recurrence relations, trees and Boolean algebra.

3 credits
Prerequisite: MATH140 (C or better) or Permission of the Department of Science, Technology, Engineering & Mathematics
Corequisite: None

Trigonometry and Analytic Geometry

MATH122

Topics in this course include right triangle trigonometry, trigonometric functions and their inverses, identities, equations, solutions of oblique triangles, complex numbers, and analytic geometry.

3 credits
Prerequisite: Math Placement Test score of 8 or higher or MATH120 (C or better)

Precalculus

MATH125

This course introduces the foundations of analysis designed to precede the calculus sequence with emphasis on functions and graphs. Topics include properties of absolute value, polynomial, rational, exponential, logarithmic and trigonometric functions, techniques for solving equations and inequalities, and an introduction to the concept of limits and the difference quotient.

4 credits
Prerequisite: MATH Placement Test score of 9 or MATH122 (C or better)

Calculus I

MATH140

This is the first course in the calculus sequence for physical science, business, computer science, mathematics and engineering students. Topics include: limits, the rate of change of a function, derivatives of algebraic and trigonometric functions, applications of derivatives, integration, and applications of the definite integral.

4 credits
Prerequisite: Math Placement Test score of 11 or MATH125 (C or better)
Corequisite: None

Calculus I (Honors section)

MATH140H

This is the first course in the calculus sequence for physical science, business, computer science, mathematics and engineering students. Topics include: limits, the rate of change of a function, derivatives of algebraic and trigonometric functions, applications of derivatives, integration, and applications of the definite integral.

4 credits
Prerequisite: Math Placement Test score of 11 or MATH125 (C or better); admission to the Honors@Bucks program
Corequisite: None

Calculus II

MATH141

This course is a continuation of Math 140. Topics include differentiation and integration of transcendental functions, indeterminate forms, methods of integration, improper integrals, infinite series, parametric equations, and polar coordinates.

4 credits
Prerequisite: MATH140 (C or better)
Corequisite: None

Elementary Statistics II

MATH215

This course is a continuation of MATH115 and is designed primarily for business, economics, and management students. Topics include decision-making procedures in business and related fields that include ANOVA, simple and multiple regression, correlation, time series, forecasting, index numbers, total quality management, and nonparametric methods.

3 credits
Prerequisite: MATH115 (C or better)
Corequisite: None

Calculus III

MATH242

This course is a continuation of Math 141. Topics for this course include: vectors and solid analytic geometry, surfaces, partial and directional derivatives, Lagrange multipliers, multiple integrals, cylindrical and spherical coordinates, line and surface integrals, Green's Theorem, Stokes' Theorem, and the Divergence Theorem.

4 credits
Prerequisite: MATH141 (C or better)
Corequisite: None

Differential Equations

MATH250

Topics for this course include first order and higher order ordinary differential equations; linear differential equations with constant coefficients; differential operators, non-homogenous differential equations and their solutions, special techniques for solving ordinary differential equations, and Laplace transforms.

3 credits
Prerequisite: MATH141 (C or better)
Corequisite: None

Linear Algebra

MATH260

Topics for this course include: vector spaces, linear transformations, matrix algebra, change of bases, similarity, diagonalization, eigenvalues and vectors; with application to solutions of systems of linear equations, linear programming, Leontief models, Markov chains, codes, and quadratic forms.

3 credits
Prerequisite: MATH140 (C or better)
Corequisite: None

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