# Mathematics

## 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 better 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 elementary logic, sets, relations, functions, numeration systems, whole numbers, integers, and number theory.

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

## Intermediate Algebra

**MATH103**

This course provides a preparation for more advanced study in mathematics and related fields. Topics include simplifying algebraic expressions, including fractional and radical expressions, solving linear, quadratic, rational, and radical equations, graphing algebraic functions, and an introduction to logarithms.

**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 rational numbers, real numbers, probability, statistics, measurement, and geometry.

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

## Mathematics for Technology I

**MATH110**

This course is primarily for students in technological career programs. Topics include basic arithmetic and algebraic operations; binary, octal and hexadecimal numbers; and Boolean logic. Emphasis is on applications for careers using digital technology.

**3 credits***Prerequisite: Math Placement Test score of 5 or better or Math095 (C or better)*

## 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 better or MATH101 (C or better) or MATH103 (C or better) or MATH110 (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 better or MATH101 (C or better) or MATH103 (C or better) or MATH110 (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 better 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 better 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 better 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 better or MATH120 (C or better)*

## Precalculus Mathematics

**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), or MATH120 (C or better) and High School Trigonometry*

## 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 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***EXPERIMENTAL*

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, Greenâ€™s Theorem, Stokesâ€™ 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*