# Mathematics

**PROGRAM IN DEVELOPMENT STAGE**: students who wish to major in this program should enroll at Mount Wachusett Community College in the fall of 2018 as physics / engineering majors. Pending program approval by the Massachusetts Board of Higher Education, the Associate in Science in Mathematics Degree will be available for students to declare as a major beginning summer 2019. The Associate in Science in Mathematics Degree at Mount Wachusett Community College is ** designed as a transfer program **for those students pursuing a career within the field of mathematics. Upon graduation from Mount Wachusett Community College, students will be well-positioned to transfer to a baccalaureate program in mathematics. Students should be aware that entry-level positions within this career require a baccalaureate degree at minimum. This program has been designed to satisfy the terms and conditions of the Mass Transfer Block.

## Mathematics (MATH)

This program is designed to prepare graduates for transfer in mathematics. Since many of these classes are two-semester sequential courses, it is recommended that students start this program in the fall.

Year 1 | ||
---|---|---|

Fall | Credits | |

MAT 211 | Calculus I | 4 |

ENG 101 | College Writing I | 3 |

Professional Elective I (see list below) ^{1} | 3-4 | |

Social Science Elective ^{2} | 3 | |

Art Elective (see list below) | 3 | |

Spring | ||

MAT 212 | Calculus II | 4 |

ENG 102 | College Writing II | 3 |

CIS 109 | Introduction to Programming | 3 |

Philosophy Elective (see list below) | 3 | |

Professional Elective II (see list below) ^{1} | 3-4 | |

Year 2 | ||

Fall | ||

MAT 220 | Linear Algebra | 4 |

CIS 290 | Java I | 3 |

PHY 120 | Physics for Engineering and Science I | 4 |

Literature Elective (see list below) | 3 | |

Spring | ||

MAT 213 | Calculus III | 4 |

MAT 230 | Ordinary Differential Equations | 4 |

PHY 121 | Physics for Engineering and Science II | 4 |

Social Science Elective ^{2} | 3 | |

Total Credits: | 61-63 |

^{1} | For the professional electives, students must select two consecutive courses in the same discipline. |

^{2} | Social Science Electives: See Elective Courses by Abbreviation. |

Professional Electives

Credits | ||
---|---|---|

ACC 101 | Principles Of Accounting I | 3 |

ACC 102 | Principles Of Accounting II | 3 |

BIO 109 | Biology I | 4 |

BIO 110 | Biology II | 4 |

CHE 107 | General Chemistry I | 4 |

CHE 108 | General Chemistry II | 4 |

EAS 110 | Introduction to Environmental Science | 3 |

EAS 125 | Physical Geology of the Earth | 4 |

SPA 109 | Beginning Spanish I | 3 |

SPA 110 | Beginning Spanish II | 3 |

Art Electives

Credits | ||
---|---|---|

ART 101 | Introduction To Painting | 3 |

ART 103 | Introduction To Sculpture | 3 |

ART 105 | Introduction To Drawing | 3 |

ART 109 | Art History I | 3 |

ART 110 | Art History II | 3 |

ART 251 | Two-Dimensional Design | 3 |

ART 252 | Three-Dimensional Design | 3 |

ART 263 | Drawing I | 3 |

Philosophy Electives

Credits | ||
---|---|---|

PHL 201 | Introduction To Philosophical Issues | 3 |

PHL 209 | Symbolic Logic | 3 |

PHL 250 | Ethics | 3 |

Literature Electives

Credits | ||
---|---|---|

ENG 213 | American Literature I | 3 |

ENG 214 | American Literature II | 3 |

ENG 221 | Women's Literature | 3 |

ENG 224 | Mystery Fiction | 3 |

ENG 235 | Children's Literature | 3 |

ENG 236 | Modern Drama | 3 |

See Mathematics program student learning outcomes and technical standards

### Transfer options

For transfer options, please click here. It is recommended that you also consult with your academic advisor.

## MassTransfer

Students who plan to transfer to a Massachusetts state university or a University of Massachusetts campus may be eligible to transfer under the MassTransfer agreement, which provides transfer advantages to those who qualify.

## Program Competencies for MATH

Upon completion of the Associate in Science in Mathematics degree, graduates will be able to do the following:

· Students will be able to seamlessly transfer into a four-year mathematics or engineering program.

· Students will be able to complete a Bachelor’s degree in two additional years.

· Students will be able to present mastery in precise, accurate, and efficient problem solving.

· Students will be able to do advanced critical thinking and present their findings both in mathematical writing and orally.

· Students will participate in project based learning that will prepare them to do research at a four-year institution.

· Students will utilize various mathematical computer software, as well as graphing calculators.

## Technical Standards for MATH^{1}

^{1} | For general information about technical standards and accommodation, see Technical Standards. |

**MAT 092. Foundations of Mathematics. 4 Credits.**

This course is designed for students who need remedial instruction in arithmetic and basic Algebra. Topics studied include: whole numbers order of operations, prime factorization, fractions, decimals, percent, rates, ratios, proportions, signed numbers, variables, algebraic expressions, formulas and equations, graphing linear equations. Students must pass the exit exam with a grade of “C” or better and earn an overall average of “C” in the class for successful course completion. Prerequisites: Appropriate score on Accuplacer Arithmetic Test.

**MAT 093. Statway. 1 Credit.**

This course is designed for students who need support to succeed in MAT 143. Topics studied include: points and intervals on the number line, the distance between two points on the number line, powers of a number, the square root of a number, summation notation, set notations, Venn diagrams, the union and intersection of sets and the complement of a set, graphing points and lines in two dimensions, understanding slope as the change in y associated with a 1-unit change in x, the equation of a line and the graph of the line, and the vertical distance between a point and a line. This course is required for students who are taking MAT 143 and who successfully completed MAT 092. Prerequisites: MAT 092; MAT 143 (corequisite).

**MAT 096. Intermediate Algebra. 4 Credits.**

This course completes the developmental math curriculum and prepares students for the credit-bearing course Introduction to Functions & Modeling. Topics include: linear equations and inequalities, graphing equations, polynomials and exponents, factoring polynomials and solving equations, rational expressions, radical expressions quadratic equations and introduction to functions. Institutional credit only. Courses that earn institutional credit do not apply towards graduation. A GRADE OF “C” OR HIGHER IS REQUIRED FOR ADVANCEMENT TO NEXT COURSE. Prerequisites: MAT 092 or placement.

**MAT 126. Topics In Mathematics. 3 Credits.**

This course explores a number of important ideas and practical applications in contemporary mathematics. Required topics include: problem solving strategies; measurement and the metric system; set theory; equations and inequalities; graphing and linear functions: consumer applications such as interest, annuities and present value; and basic statistics. Teachers will select one or two additional topics (as time permits), such as, history of math, voting and apportionment, logic, probability, or geometry. Prerequisite: MAT 092 or placement.

**MAT 140. Elements Of Mathematics I. 3 Credits.**

This course provides a comprehensive, conceptually-based study of the rational and real number systems, along with fundamental concepts of number theory, in order to develop deep levels of understanding of these concepts. Topics include: numeration systems; algorithms for the addition, subtraction, multiplication and division of whole numbers, integers, fractions, and decimals; factors and multiples; greatest common factor and least common multiple; ratio, percent and scientific notation; rational and irrational numbers. Inquiry based instruction, problem solving skills, project work, and the appropriate use of mathematical models are emphasized. This course is recommended for Early Childhood and Elementary Education majors only. Prerequisite: MAT 092 or placement. No calculators allowed.

**MAT 143. Statistics. 3 Credits.**

This course presents students with an understanding of elementary statistics by familiarizing them with basic concepts of measures of central tendency and variability, regression and correlation, probability, discrete and continuous random variables, the Central Limit Theorem, confidence intervals, and hypothesis testing. A calculator is required. MAT 093 is required for students taking this course who tested into and successfully completed MAT 092 with a grade of C or better. Prerequisites: MAT 092 or placement; MAT 093 corequisite for students who tested into MAT 092 and successfully complete this course with a C or better.

**MAT 162. Introduction to Functions & Modeling (Formerly MAT 134). 4 Credits.**

This course provides an introduction to functions, graphing techniques, and modeling. Topics included: visualizing and graphing data, functions and their representations, type of functions and their rates of change, linear functions and equations, Quadratic functions and equations, polynomial, rational and radical functions and equations, and introduction to exponential and logarithmic functions. Prerequisite: MAT 096 or placement.

**MAT 163. Pre-Calculus. 4 Credits.**

This course is a preparation for MAT 211 Calculus I. Topics include: Mathematical Modeling; Exponential and Logarithmic Functions; Trigonometric Functions; Trigonometric Identities; Laws of Sines and Cosines, Vectors, Polar Coordinates, and Systems of Equations in Two Variables. Computers and/or graphing calculators are used to enhance the study of mathematics. Prerequisite: MAT 162.

**MAT 211. Calculus I. 4 Credits.**

This course is an introduction to the concepts and methods of differentiation and their application in the areas of engineering, economics, and life sciences. The following topics are covered: differentiation of polynomial, rational, trigonometric, and composite functions; a study of limits; related rates; optimization problems; curve sketching; antiderivatives; and indefinite integration. Prerequisite: MAT 163 or placement.

**MAT 212. Calculus II. 4 Credits.**

This course is a continuation of MAT 211 Calculus I with emphasis on the methods of integration and their applications. The following topics are covered: integration of algebraic, trigonometric, inverse trigonometric, logarithmic, and exponential functions; area between two curves; volumes; arc length; work; fluid pressure; Hospital's Rule; Sequences and Series. Prerequisite: MAT 211.

**MAT 213. Calculus III. 4 Credits.**

A continuation of MAT 212 with emphasis on parametric equations, polar coordinates, vector functions, analytic geometry in space, and multivariable calculus. Topics include: parametric equations, polar coordinates, vectors, dot products and cross products, motion in space, length of curves, planes and surfaces, partial derivatives, max/min problems, Lagrange multipliers, multiple integrals, vector calculus, Green's Theorem, Stokes' Theorem and the Divergence Theorem. A formal project report that incorporates the mathematics of the course will be required in this course as a capstone experience. Prerequisite: MAT 212. Spring.

**MAT 220. Linear Algebra. 4 Credits.**

This course covers systems of linear equations, Gaussian Elimination, vector equations, linear independence, linear transformations, matrix algebra, inverse of a matrix, subspaces, dimension, rank, determinants, vector spaces and bases, eigenvalues and eigenvectors, The Characteristic Equation, diagonalization, inner product, and orthogonality. The instructor reserves the right to pick applications from the following fields: Computer Science, Engineering, Economics, the Physical Sciences, or Statistics. Prerequisite: MAT 212 (or corequisite). Fall.

**MAT 230. Ordinary Differential Equations. 4 Credits.**

Differential Equations begins with some definitions and terminology and mathematical models used in a differential equations course. First-order and higher-order differential equations, along with the methods of solutions and their applications are introduced. Modeling with higher-order, Laplace transform, and systems of linear first-order differential equations are covered. At the end, students learn series solutions of linear equations. Numerical methods are covered throughout the course. Prerequisite: MAT 212. Spring.