# Mathematics

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## MATH 070 Mastering Arithmetic and Prealgebra • 5 Cr.

Builds confidence and skills in arithmetic and pre-algebra. Students discuss symptoms of math anxiety and avoidance, as well as suggestions for overcoming them. Topics include operations with whole numbers, fractions, decimals and percentages, and elements of geometry and pre-algebra.

## MATH 075 Improving Arithmetic & Prealgebra Skills • 5 Cr.

Provides an opportunity to improve math skills through an individualized program. Topics may include arithmetic, pre-algebra, and/or beginning algebra. Format includes individual and group study. Instructor provides guidance, assistance, and testing. May be repeated for a maximum of 10 credits. Not intended as a substitute for MATH 098 or 099.

## MATH 078 Math Literacy • 7 Cr.

This is an overview of algebra in which students build math literacy skills by exploring topics including exponents, radicals, percentages, and various equations. The course emphasizes visualization, interpretation, and communication of mathematics in context. Students learn to persevere by building strategies based on algebraic skills, numerical relationships, and attention to precision. Successful completion of this course meets the prerequisite for MATH&107 and MATH 130. Prerequisites: MATH 070 with a C or higher, or MATH 075 with a grade of B or higher, or placement by assessment.

## MATH 080 Elementary Algebra I • 5 Cr.

First in a two-quarter sequence of basic algebra using a lecture/workshop format. Topics include lines and graphs, systems of equations, linear equations, and applications. Format includes self/group study and individual assistance. Intended for students with little or no algebra. Students must complete both MATH 080 and 085 to have the equivalent of MATH 097. Recommended: Basic arithmetic skills.

## MATH 084 Learning Strategies for Math Success • 3 Cr.

Through small group interactions and tutoring, MATH 084 builds confidence in students who have struggled trying to learn mathematics. MATH 084 facilitates the understanding of math concepts, learning effective study skills, and overcoming math anxiety/avoidance. MATH 084 students must be simultaneously enrolled in a mathematics course numbered below 100. Prerequisite: Permission of instructor.

## MATH 085 Elementary Algebra II • 5 Cr.

Second in a two-quarter sequence of basic algebra using a lecture/workshop format. Topics include exponents, polynomials, quadratic equations, rational expressions, and radicals. Students must complete both MATH 080 (or equivalent) and MATH 085 to have the equivalent of MATH 097. Prerequisite: MATH 080 or permission of instructor.

## MATH 093 Algebra Review • V1-5 Cr.

Allows students to review some portion of MATH 097, 098, and 099 algebra courses. Students meet with the instructor to develop specific objectives. The course is taught using interactive software. Prerequisite: Permission of instructor.

## MATH 094 Special Topics in Developmental Math • V1-5 Cr.

Covers additional topics in mathematics. Topics are announced in the class schedule. Prerequisite: Permission of instructor.

## MATH 097 Introductory Algebra I • 5 Cr.

Introduces basic algebra skills for students with little or no background. Topics include signed numbers and perimeter, area, and volume of basic geometric figures. Introduces algebraic expressions, linear equations, integer exponents, polynomial arithmetic, factoring, radicals, and graphing, as well as applications and model building. Recommended: Basic arithmetic skills.

## MATH 098 Essentials of Intermediate Algebra • 5 Cr.

Reviews and expands MATH 097 topics for students with some algebra background. Topics include equations of lines, quadratic equations and parabolas, rational exponents, elementary exponential equations, and elementary rational expressions and equations. Students practice model building and analysis of graphical and numerical data. Prerequisite: Placement by assessment, or MATH 085 or MATH 097 with a C- or better.

## MATH 099 Intermediate Algebra • 5 Cr.

Expands algebra skills through an axiomatic approach. Students work with mathematical systems, solution of equations, inequalities, functions, exponents and logarithms, and coordinate systems. This course is similar to second-year high-school algebra. Prerequisite: Placement by assessment, or MATH 098 with a C or better.

## MATH& 107 Math in Society • 5 Cr.

Applies mathematics to contemporary issues. Topics include networks, scheduling, data analysis, and may also include voting methods, linear programming, game theory, growth and decay, or fair division problems. Designed for liberal arts students. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment or MATH 098 with a C or better, or MATH 078 with a C or better.

## MATH 130 Introduction to Statistics • 5 Cr.

Emphasis on gathering and interpreting data. Material has applications in the medical fields, as well as the Social Sciences. Fulfills the quantitative or symbolic reasoning course at BC. Prerequisite: Placement by assessment or MATH 098 with a C or better, or MATH 078 with a C or better.

## MATH& 131 Math for Elementary Education I • 5 Cr.

Study of problem solving strategies, number theory and numeration related to topics taught at the K-8 level. Includes analysis of learning difficulties and teaching strategies for these concepts. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment, or MATH 099 with a C or better.

## MATH& 132 Math for Elementary Education II • 5 Cr.

Study of basic probability and statistics, geometry and measurement, and the real number system related to topics taught at the K-8 level. Includes analysis of learning difficulties and teaching strategies for these concepts. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment, MATH 099 with a C or better, or MATH& 131 with a C or better.

## MATH 138 College Algebra for Business & Social Science • 5 Cr.

Examines graphs, non-trigonometric elementary functions, systems of e quations and inequalities, and probability, emphasizing uses in business and social science. Either MATH& 141 or MATH 138 may be taken for credit, not both. MATH 138 is required before taking MATH& 148. Fulfills quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment, or MATH 099 with a B- or better.

## MATH& 141 Precalculus I • 5 Cr.

Emphasizes graphs and polynomial functions. Other topics include the theory of equations and rational, exponential, inverse, and logarithmic functions. Either MATH& 141 or MATH 138 may be taken for credit, not both. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment or MATH 099 with a B- or better.

## MATH& 142 Precalculus II • 5 Cr.

Prepares students for the MATH& 151/152/153 calculus sequence. Students work intensively with functional trigonometry, polar coordinates, translation and rotation of axes, plane analytic geometry, lines and planes in space, and non-linear systems. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment, or MATH& 141 with a C- or better.

## MATH& 148 Business Calculus • 5 Cr.

Surveys differential and integral calculus, emphasizing uses in business and social science. Intended for students who wish only a brief course in calculus. Either MATH& 151 or MATH& 148 may be taken for credit, not both. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment or MATH 138 with a C- or better.

## MATH 150 Algebra and Trigonometry in Calculus Context • 2 Cr.

Provides additional instruction support for students taking MATH &151, focusing on precalculus skills in the context of calculus. Students will review algebra and trigonometry methods as they apply to calculus problems. This course is designed for students that are repeating MATH& 151 or who earned a C+ or below in MATH& 141 or MATH& 142. Prerequisite: Must be co-enrolled in MATH& 151.

## MATH& 151 Calculus I • 5 Cr.

Introduces the concepts of limits, derivatives, and integrals. Topics include techniques and applications of derivatives of algebraic and transcendental functions. Students begin working with antiderivatives. Either MATH& 151 or MATH& 148 may be taken for credit, not both. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment or MATH& 142 with a C- or better, or Advanced Placement score of 2 or higher on AB or BC exam.

## MATH& 152 Calculus II • 5 Cr.

Continues the study of integration, emphasizing applications and special techniques. Students work with algebraic and transcendental functions. Fulfills the quantitative or symbolic reasoning course requirement at BC. Recommended: MATH& 151.

### Description starting Summer 2019

Continues the study of integration, emphasizing applications and special techniques. Students work with algebraic and transcendental functions. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: MATH& 151 with a C or better.

## MATH& 153 Calculus III • 5 Cr.

Emphasizes the study of infinite sequences and series including power series. Topics include plane analytic geometry, graphing in polar coordinates, and an introduction to vectors. Fulfills the quantitative or symbolic reasoning course requirement at BC. Recommended: MATH& 152.

### Description starting Summer 2019

Emphasizes the study of infinite sequences and series including power series. Topics include plane analytic geometry, graphing in polar coordinates, and an introduction to vectors. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment or MATH& 152 with a C or better.

## MATH 194 Special Topics in MATH • V1-5 Cr.

Covers supplementary, contemporary, or focused topics related to mathematics. Topics are announced in the class schedule. Prerequisite: Permission of instructor.

## MATH 195 Special Topics in MATH • V1-5 Cr.

Covers supplementary, contemporary, or focused topics related to mathematics. Topics are announced in the class schedule. Prerequisite: Permission of instructor.

## MATH 196 Special Topics in MATH • V1-5 Cr.

Covers supplementary, contemporary, or focused topics related to mathematics. Topics are announced in the class schedule. Prerequisite: Permission of instructor.

## MATH 197 Special Topics in MATH • V1-5 Cr.

## MATH 199 Individual Studies in Mathematics • V1-5 Cr.

Allows directed readings or independent problem solving projects as arranged with an instructor. Primarily intended for students who have completed MATH 126, MATH& 153 or MATH 208 and/or MATH 238. May be repeated for a maximum of 15 credits. Prerequisite: Permission of instructor.

## MATH 208 Introduction to Linear Algebra • 5 Cr.

Introduces the vocabulary, algebra, and geometry of vector spaces in "R" and function spaces. Students use matrix methods and vectors to explore systems of linear equations and transformations. Also presents elementary theory of eigenvalues. Fulfills the quantitative or symbolic reasoning course requirement at BC. Recommended: MATH& 153.

### Description starting Summer 2019

Introduces the vocabulary, algebra, and geometry of vector spaces in "R" and function spaces. Students use matrix methods and vectors to explore systems of linear equations and transformations. Also presents elementary theory of eigenvalues. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment or MATH& 152 with a C or better. Recommended: MATH& 153 or MATH& 254.

## MATH 238 Differential Equations • 5 Cr.

Uses tools from algebra and calculus in solving first- and second-order linear differential equations. Students focus on applying differential equations in modeling physical situations, and using power series methods and numerical techniques when explicit solutions are unavailable. May include work with Laplace Transforms and systems of differential equations. Fulfills the quantitative or symbolic reasoning course requirement at BC. Recommended: MATH& 153.

### Description starting Summer 2019

Uses tools from algebra and calculus in solving first- and second-order linear differential equations. Students focus on applying differential equations in modeling physical situations, and using power series methods and numerical techniques when explicit solutions are unavailable. May include work with Laplace Transforms and systems of differential equations. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment or MATH& 152 with a C or better. Recommended: MATH& 153 and MATH 208.

## MATH 240 Scientific Computation • 5 Cr.

Introduction to numerical methods used to solve problems in the sciences and engineering. Students will use software to solve problems and communicate the results of calculations. Awareness of appropriate software tools to help analyze a physical problem and the limitations and strengths of these tools will be emphasized. Prerequisite: MATH 208. Recommended: MATH 238.

## MATH& 254 Calculus IV • 5 Cr.

Extends the concepts of calculus to vector-valued functions and functions of several variables. Partial derivatives are included. Fulfills the quantitative or symbolic reasoning course requirement at BC. Recommended: MATH& 152.

### Description starting Summer 2019

Extends the concepts of calculus to vector-valued functions and functions of several variables. Partial derivatives are included. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment or MATH& 152 with a C or better. Recommended: MATH& 153.

## MATH 255 Vector Calculus • 5 Cr.

Course topics include multiple integration, line and surface integrals and the theorems of Green, Gauss and Stokes with applications. Related topics such as conservative vector fields, change of variables in special coordinate systems, the higher-dimensional Taylor's Theorem and constrained optimization will be considered. Prerequisite: Multivariable Calculus (MATH& 254).

### Description starting Summer 2019

Course topics include multiple integration, line and surface integrals and the theorems of Green, Gauss and Stokes with applications. Related topics such as conservative vector fields, change of variables in special coordinate systems, the higher-dimensional Taylor's Theorem and constrained optimization will be considered. Prerequisite: MATH& 254 with a C or better.

## MATH 270 Probability and Statistical Models • 5 Cr.

The fundamentals of probability-based statistics with a focus on data-based problem solving. Introduces probability axioms and principles of randomness to model and evaluate samples from discrete, continuous, univariate, and multivariate distributions. Varying statistical techniques (with use of software such as MATLAB or R) will be included. Prerequisite: MATH& 152 with a B- or better. Recommended: MATH& 153.

## MATH 299 Individual Studies in Mathematics • V1-5 Cr.

Allows directed readings or independent problem solving projects as arranged with an instructor. Primarily intended for students who have completed MATH 126, MATH& 153 or MATH 208 and/or MATH 238. May be repeated for a maximum of 15 credits. Prerequisite: Permission of instructor.

## MATH 301 Discrete Mathematics • 5 Cr.

This class introduces basic discrete structures in mathematics, computer science and engineering fields. Topics include elementary logic, set theory, mathematical proof, relations, combinatorics, induction, recursion, sequence and recurrence, trees, graph theory. Prerequisite: MATH 208 with a C or better and admission to BS CS program, or entry code.

## MATH 341 Applied Statistical Methods I • 5 Cr.

This class covers probability theory and applications including trees and Venn diagrams, conditional probability, contingency tables, independence and Bayes theorem. It will cover random variables and sampling distributions (binomial, Poisson, normal, exponential, geometric and hypergeometric ) and their use in confidence intervals and hypothesis testing such as t-tests, z-tests, one and two sample mean and proportions, chi-squared; ANOVA. The focus will be on real world examples from a variety of sources and using statistical software such as Excel, Minitab, SAS or R. Students should expect to produce reports and presentations. Prerequisite: BA 240 with a C or better and admission into BAS Data Analytics program, or permission of the instructor.

## MATH 342 Applied Statistical Methods II • 5 Cr.

This class will focus on various types of general linear models including simple and multiple regression, and log-linear models, as well as stepwise regression, logistic regression, and analysis of variance/covariance. The focus will be on real world examples from a variety of sources and using statistical software such as Excel, Minitab, SAS or R. Students should expect to produce reports and presentations. Prerequisite: MATH 341 with a C or better, or permission of the instructor.