Mathematics
Department of Mathematics, Shelley Devine, Administrative Assistant  

Office  Science & Engineering 102 
Phone  774.330.4363 
sdevine@capecod.edu 
Mary E. Sullivan, Chairperson  

Office  Science & Engineering 119 
Phone  774.330.4260 
msulli01@capecod.edu 
Degrees and Certificates

Data Science Concentration, Associate in Arts 
Mathematics Concentration, Associate in Arts
Classes
DAT101: Introduction to Data Science
This course introduces students to the field of data science and equips them with some of its basic principles and tools as well as its general mindset. Students learn concepts, techniques, and tools they need to deal with various facets of data science practice, including data collection, exploratory data analysis, predictive modeling, and effective communication. The course uses a statistical computing language such as R.
DAT201: Data Visualization
This course covers the principles and best practices of data visualization. Students learn how to select appropriate chart types, design effective data visualizations, and communicate insights. Students also learn to use popular data visualization tools such as Tableau.
MAT011: Mathematical Reasoning and Problem Solving
This course provides a comprehensive introduction to the mathematical skills needed for the support course in Elementary Statistics or in Quantitative Reasoning. With an emphasis on vocabulary, notation, problem solving, and study skills, the course covers signed number arithmetic, integer exponents, square roots, scientific notation, percent, proportional reasoning, algebraic expressions, linear equations and inequalities, functions, tables and graphs, the equation of a line, and the slope and intercept(s) of a line.
MAT013: Support Topics for Quantitative Reasoning
This course is designed to pair with a collegelevel Quantitative Reasoning class. It provides a review of the prerequisite mathematical skills needed in Quantitative Reasoning. Students receive targeted support with arithmetic and algebra topics using a "justintime" approach. This course also reinforces topics covered in the paired Quantitative Reasoning course. 2 nondegree credits.
MAT015: Support Topics for Elementary Statistics
This course is designed to pair with a collegelevel Statistics class. It provides a review of the prerequisite mathematical skills needed in Statistics. Students receive targeted support with arithmetic and algebra topics using a "justintime" approach. This course also reinforces topics covered in the paired Statistics course. 2 nondegree credits.
MAT025: PreAlgebra
A fundamental course in prerequisite algebraic topics designed to help prepare students for the study of introductory algebra and its applications. Topics include: introduction to, operation with, and application of whole numbers, integers, fractions, and decimals; exponentiation, rooting, order of operations, ratios, rates, proportions, unit conversions, percents and their applications; an introduction to algebraic expressions and equations, applications of algebraic expressions and equations, geometry, and measurement. (5 contact hours)
MAT035: Algebra for NonSTEM
An algebra course designed to prepare students for collegelevel nonSTEM math courses, address the quantitative needs of other disciplines, and develop quantitative reasoning skills for citizenship and workplace. Concepts are introduced through meaningful applications and inclass activities. Topics include proportional reasoning, scientific notation, creating and interpreting tables and graphs, solving linear and quadratic equations algebraically, solving systems of linear equations, linear and nonlinear functions, and creating mathematical models of realworld problems using technology. (5 contact hours)
MAT041: Elementary Algebra for STEM
This course introduces the basic concepts in algebra necessary for students who plan to take intermediate algebra for STEM (Science, Technology, Engineering, and Mathematics). Topics include: properties and operations on real numbers, linear equations, interval notations, inequalities, absolute value, graphing, function notations, linear systems, exponents, polynomials, factoring and word problem analysis. (4 contact hours)
MAT045: Intermediate Algebra for STEM
This developmental course prepares students for College Algebra, which is essential to the Natural Sciences, Technology, Engineering, and Mathematics curriculum. Topics include: graphing, polynomials, factoring, rational expressions, rational exponents, quadratic equations, variation, conic sections, functions, and logarithms. Development of problem solving skills is emphasized throughout the course. (5 contact hours)
MAT120: Mathematics for Elementary & Early Childhood Educators I
This course is designed for students planning to teach Elementary and/or Early Childhood Education. Students develop an understanding of the mathematical content of numbers and operations at the deep level required for successful elementary school teaching in ways that are meaningful to preservice elementary and early childhood educators. Topics include: critical thinking skills; sets and operations on sets; the whole number system and its operations; place value and arithmetic models; mental math; algorithms; prealgebra; factors, divisibility, prime numbers, elementary number theory, and their applications; the integers and its operations; clock arithmetic; fractions and rational numbers; decimals and the real number system; ratios, rates, and proportions; and percents.
MAT121: Mathematics for Elementary & Early Childhood Educators II
MAT130: Quantitative Reasoning
This course explores connections between mathematics and various aspects of modern life. Topics in this course include logic, unit analysis, percentages, personal finance, statistics, probability, linear and exponential growth, mathematical modeling, and geometry.
MAT150: Elementary Statistics
Students are introduced to descriptive and inferential statistics focusing on conceptual understanding and statistical literacy. Topics include: techniques for organizing and presenting data, measures of central tendency and dispersion, probability, discrete and continuous probability distributions, sampling distributions, estimation, one sample hypothesis tests, and correlation and regression.
MAT165: Finite Mathematics
An introduction to selected applications of mathematics in business, management, social sciences, and economics. Topics include: descriptive statistics, graphing of functions, simple and compound interest, functions and their applications, probability and elements of mathematical modeling using first and second degree polynomials. The course is designed for students in career programs. (4 contact hours)
MAT175: College Algebra
This is an entrylevel mathematics course for students interested in a STEM track. Topics include: domain and range, piecewise functions, complex numbers, quadratic inequalities, graphs of polynomial and rational functions, fundamental theorem of algebra, transformations of graphs, inverse functions, solving exponential and logarithmic equations, Gaussian elimination, and translations of conics. Critical thinking and problem solving skills are emphasized throughout the course. This course prepares students for Precalculus with Trigonometry or Applied Calculus. (5 contact hours)
MAT180: Applied Calculus
This course is designed for students planning to apply mathematics to management and social science topics. Topics include a review of polynomial, exponential, and logarithmic functions and their application to business, an introduction to limits, continuity and the derivative, and applications of the derivative.
MAT195: Precalculus with Trigonometry
Targeting students in Mathematics, Engineering, and Physical Sciences, this course provides the foundation necessary for a rigorous study of calculus. It covers nonlinear inequalities, functions, and graphs. The primary focus is on polynomial, rational, exponential, logarithmic, and trigonometric functions. Applications are also discussed extensively. Additional topics may include analytic geometry with an emphasis on the conic sections, Gibbs notation vector algebra, polar coordinates, sequences, series, and mathematical induction. (5 contact hours)
MAT220: Discrete Mathematics & Introduction to Proofs
This introductory course is designed for prospective mathematics and computer science majors. It covers basic techniques of mathematical proof and reasoning, with an emphasis on discrete structures as well as concepts widely used in computing. Topics include set theory, functions, relations, proposition logic, methods of proof, mathematical induction, recursion, and Boolean algebra. Additional topics in discrete mathematics will be selected from number theory, combinatorics, graph theory, and finite state automata.
MAT240: Calculus I
This calculus course is designed for engineering, natural sciences, computer science, and mathematics majors. Topics include limits, continuity, derivatives, integrals, the fundamental theorem, applications on curve sketching, optimization, areas and volumes, differentiation and integration (up to substitution) involving trigonometric, inverse trigonometric, logarithmic, and exponential functions.
MAT245: Linear Algebra
A first course in the study and analysis of linear systems and their applications in mathematics, engineering, computer science, business, economics, and other fields involving large multivariate models of real world phenomena. Topics include: matrices, determinants, vectors in 2dimensional space and 3dimensional space, vector spaces, independence, basis, rank, linear transformations with matrix representation, eigenvalues and eigenvectors, applications to differential equations.
MAT250: Calculus II
Continuation of MAT240 Calculus I. Topics include calculus of exponential, logarithmic, and trigonometric functions; techniques of integration, moments and centroids; indeterminate forms and improper integrals; Taylor's formula; and infinite series.
MAT260: Calculus III
The sequel to MAT250. Topics include parametric equations and polar coordinates, vectorvalued functions, partial differentiation, multiple integrals, and topics from vector calculus and from differential equations.
MAT270: Differential Equations
This introductory course in ordinary differential equations is designed for students majoring in mathematics, natural sciences, or engineering. Topics include first order differential equations, linear second order differential equations, Laplace transforms, and planar systems. Emphases are given to analytic methods, existence and uniqueness of solutions, and modeling.