## Your Future in Mathematics Starts Here

Mathematics has long played an integral role in advances in science and technology. And in today's high-tech, information-based economy, a background in mathematics is a highly valued commodity. Virtually every industry in the 21st century employs professionals with degrees in mathematics.

At UMass Lowell, students pursuing a Bachelor of Science in Mathematics develop valuable and transferable skills in critical thinking, quantitative analysis and problem solving — skills that are necessary for success in a variety of fields, including education.

## Math Programs Made for Busy Adults

Required math courses are available on campus during the evenings, making it easier than ever for busy adults to pursue or complete their degree while working. Required liberal arts courses for the program are offered in an online format, enabling students to work around their busy schedules.

## Curriculum Outline

120 credits minimum. Note: Students who do not have the necessary foundation in Precalculus Math will be required to take MATH.1225 Precalculus Mathematics I and MATH.1230 Precalculus Mathematics II in addition to the courses listed below, resulting in 126 credits. No Math course can be used to satisfy two different Math requirements.

### University Core Curriculum Requirements (12 Courses / 36-39cr)

Under UMass Lowell's Core Curriculum, students must meet Breadth of Knowledge (BOK) requirements and Essential Learning Outcomes (ELOs).

- ENGL.1010 College Writing I (3cr)
- ENGL.1020 College Writing II (3cr)
- ----.---- Arts & Humanities Course (AH) (3cr)#
- ----.---- Arts & Humanities Course (AH) (3cr)#
- ----.---- Arts & Humanities Course (AH) (3cr)#
- ----.---- Social Sciences Course (SS) (3cr)#
- ----.---- Social Sciences Course (SS) (3cr)#
- ----.---- Social Sciences Course (SS) (3cr)#
- ----.---- Science with Lab Perspective (SCL/TNL) (3cr) or (3cr+1cr)##
- ----.---- Science with Lab Perspective (SCL/TNL) (3cr) or (3cr+1cr)##
- ----.---- Science Perspective (SC/TN or SCL/TNL) (3cr) or (3cr+1cr)##
- ----.---- STEM Perspective Course (3cr)

#### Essential Learning Outcomes

In addition to the above Breadth of Knowledge courses, you must fulfill all of the University's seven "Essential Learning Outcomes" (ELOs) as you progress through your degree program. The Essential Learning Outcomes and their abbreviations are:

- Diversity and Cultural Awareness (DCA): Be a thoughtful, aware citizen of the global community.
- Information Literacy (IL): Find, evaluate, and synthesize information effectively and persuasively.
- Social Responsibility and Ethics (SRE): Shape the world to improve life in your community and beyond.
- Written and Oral Communication (WOC): Express ideas to professional peers with purpose and clarity.
- Quantitative Literacy (QL): Be skilled in the many forms and varieties of numerical analysis.
- Critical Thinking and Problem Solving (CTPS): Evaluate ideas and evidence rationally to produce and implement solutions.
- Applied and Integrative Learning (AIL): Synthesize knowledge and abilities in meaningful practice.

Courses that fulfill the ELO requirement are coded with DCA, IL, SRE, WOC, QL, CTPS and AIL. TIP: Look for Breadth of Knowledge courses and courses required for your degree that offer more than one of these ELO designations, so you can conveniently complete these ELO requirements as you take your required courses.

See the list of Core Curriculum Courses currently available through Graduate, Online & Professional Studies.

For additional information on the Core Curriculum requirement, visit https://www.uml.edu/Academics/undergraduate-programs/core-curriculum/

### Math Requirements (17 Courses / 49-50cr)

- MATH.1250 Calculus A (3cr)
- MATH.1260 Calculus B (3cr)
- MATH.2250 Calculus C (3cr)
- MATH.2260 Calculus D (3cr)
- MATH.2190 Discrete Structures I (3cr)
- MATH.2210 Introduction to Linear Algebra (3cr)
- MATH.2220 Linear Algebra (3cr)
- MATH.2340 Differential Equations (3cr)
- MATH.2360 Engineering Differential Equations (3cr)
- MATH.3850 Applied Statistics (3cr)
- MATH.3860 Probability and Statistics I (3cr)
- MATH.---- Analysis I (choose MATH.4030
**OR**MATH.4110) - MATH.---- Analysis II*
- MATH.3750 Senior Seminar I (1cr)
- MATH.4750 Senior Seminar II (3cr)
- ----.---- Mathematics Elective 3000 level or above **
- ----.---- Mathematics Elective 3000 level or above **
- ----.---- Mathematics Elective 3000 level or above **
- ----.---- Computing Elective***

### Teacher Concentration Requirements (3 Courses / 9cr)

- MATH.4200 Mathematical Problem Solving (3cr)

#### Choose any 2 from the following block:

- MATH.4100 Computers and Calculators in the Classroom (3cr)
- MATH.4130 Number Theory (3cr)
- MATH.4210 Abstract Algebra I (3cr)
- MATH.4270 Geometry (3cr)
- MATH.4350 History of Mathematics (3cr)
- EDUC.----

### Free Electives (7-9 Courses / 21-26cr)

Note: No more than 60 math credits can be counted towards the degree.

Note: COMP.1010+COMP.1030L fulfill an SCL core requirement.

## Course Descriptions

#### ENGL.1010 College Writing I (3cr)

A workshop course that thoroughly explores the writing process from pre-writing to revision, with an emphasis on critical thinking, sound essay structure, mechanics, and academic integrity. Students will read, conduct rhetorical analyses, and practice the skills required for participation in academic discourse. Students will write expository essays throughout the semester, producing a minimum of four formal essays.

#### ENGL.1020 College Writing II (3cr)

A workshop course that thoroughly explores the academic research writing process with an emphasis on entering into academic conversation. Building on the skills acquired in College Writing I, students will learn to write extensively with source material. Key skills addressed include finding,assessing, and integrating primary and secondary sources, and using proper documentation to ensure academic integrity. Students will produce analytical writing throughout the semester, including a minimum of four formal, researched essays.

#### MATH.1250 Calculus A (3cr)

Serves as a first course in calculus and provides a brief review of analytic geometry and trigonometric functions. The course progresses to the study of inverse functions, limits, continuity, derivatives, rules for differentiation of algebraic and transcendental functions, chain rule, implicit differentiation, linear approximation, differentials, and maximum and minimum values.

##### Notes:

MA. Students may receive credit for only one of the following courses: MATH.1220 or MATH.1310.

##### Requirements:

MATH.1230

#### MATH.1260 Calculus B (3cr)

Serves as a continuation of MATH.1250. The course covers L'Hopital's Rule, optimization problems, Newton's method, sigma notation, integration, area between curves, volume, arc length, surface area, integration by parts, trigonometric substitution, partial fraction decomposition, and improper integrals.

##### Notes:

MA

##### Requirements:

MATH.1250

#### MATH.2190 Discrete Structures I (3cr)

Presents propositional logic, combinatorics, methods of proof, mathematical systems, algebra of sets, matrix algebra, relations and functions, recursion and generating functions, applications to computer science, and graph theory.

##### Notes:

Formerly MATH.3210

#### MATH.2210 Introduction to Linear Algebra (3cr)

Elementary set theory and solution sets of systems of linear equations. An introduction to proofs and the axiomatic methods through a study of the vector space axioms. Linear analytic geometry. Linear dependence and independence, subspaces, basis. Inner products. Matrix algebra. Applications of the above will also be discussed.

##### Requirements:

MATH 1320 pre-req

#### MATH.2220 Linear Algebra (3cr)

Linear transformations. Linear operators, change of basis, inner product and the diagonalization problem. Quadratic forms. Convex sets and geometric programming, input/output models for an economy, Markov chains, other applications of linear algebra.

#### MATH.2250 Calculus C (3cr)

Serves as a continuation of MATH.1260. This course covers integration by parts, integration of trigonometric integrals, trigonometric substitution, partial fraction, numeric integration, improper integrals, L'Hopital's Rule, indeterminate forms, sequences, infinite series, integral tests, comparison tests, alternating series tests, power series, Taylor series, polar coordinates, graphs and areas in polar coordinates, and parametric equations.

##### Notes:

MA

##### Requirements:

MATH.1260

#### MATH.2260 Calculus D (3cr)

Serves as a continuation of MATH.2250. This course covers curvature, cylindrical surfaces, dot and cross products, curves and planes in three space, cylindrical and spherical coordinates, functions of two variables, chain rule, directional derivatives and gradient, tangent planes, and double and triple integrals in rectangular, polar, cylindrical and spherical coordinate systems.

##### Notes:

MA

##### Requirements:

MATH.2250 Pre-req

#### MATH.2340 Differential Equations (3cr)

Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order linear differential equations, systems of first-order differential equations. Laplace transforms. Numerical methods. Applications to physical systems.

#### MATH.2360 Engineering Differential Equations (3cr)

Introduction to differential equations with an emphasis on engineering applications. Topics include first-order equations, higher-order linear equations with constant coefficients, and systems of first-order equations. Applications of each topic are introduced and qualitative, analytical, and numerical solution techniques are studied. Laplace transform methods are discussed. The software package MATLAB may be used throughout the course.

##### Notes:

MA

#### MATH.3750 Senior Seminar I (1cr)

Student works with an advisor to develop a proposal for a senior project that will be carried out as part of MATH.4750 Senior Seminar II. Generally taken during the spring of the junior year. Prerequisite: Permission of instructor.

#### MATH.3850 Applied Statistics (3cr)

Introduction to experimental design, data analysis and formal statistical procedures from an applied point of view.

##### Requirements:

MATH 1320 pre-req

#### MATH.3860 Probability and Statistics I (3cr)

Provides a one-semester course in probability and statistics with applications in the engineering sciences. Probability of events, discrete and continuous random variables cumulative distribution, moment generatory functions, chi-square distribution, density functions, distributions. Introduction to estimation, hypothesis testing, regression and correlation. No credit for both MATH.3860 and MATH.4070, Math majors should take MATH.4070.

##### Requirements:

MATH 1320 pre-req

#### MATH.4100 Computers and Calculators in the Classroom (3cr)

This course explores the roles of mainframes, PC's and hand calculators in instruction, examine some of the available software and consider their use in a variety of areas of secondary mathematics, such as algebra, geometry (Euclidean and analytic), probability and statistics and introductory calculus. No credit in Science or Engineering.

#### MATH.4130 Number Theory (3cr)

Studies congruencies and the Chinese Remainder Theorem, Primitive roots, quadratic reciprocity, approximation properties of continued fractions, Pell's equation. Recent application of number theory such as primality testing, cryptology, and random number generation will also be covered.

#### MATH.4200 Mathematical Problem Solving (3cr)

Focuses on: mathematical resources, ability to use heuristics, the student's beliefs about the use of mathematics to solve problems, and the student's self-confidence as a problem solver. Effective strategies for incorporating problem solving in the curriculum will also be discussed.

##### Requirements:

MATH 2210 or 321 pre-req

#### MATH.4210 Abstract Algebra I (3cr)

Elementary group theory, groups, cosets, normal subgroups, quotient groups, isomorphisms, homomorphisms, applications.

##### Requirements:

MATH.2210 pre-req

#### MATH.4270 Geometry (3cr)

This course is designed for current and prospective geometry teachers. In addition to the development of Euclidean geometry, students will become familiar with geometry applications in Geometer's Sketchpad software, and to a lesser degree with other geometry software applications including Geogebra, and Cabri. There will be an introduction to spherical and hyperbolic geometry and triangle measurements will be computed for each. Calculus based derivations of area and volume for surfaces and solids will be generated and related to Euclidean geometry topics.

##### Requirements:

MATH 1320 pre-req

#### MATH.4350 History of Mathematics (3cr)

Examines ancient numeral systems, Babylonian and Egyptian mathematics, Pythagorean mathematics, duplication, trisection, and quadrature, Euclid's elements and Greek mathematics after Euclid, Hindu and Arabian mathematics, European mathematics from 500 to 1600, origins of modern mathematics, analytic geometry, the history of calculus. Also covers the transition to the twentieth century and contemporary perspectives.

#### MATH.4750 Senior Seminar II (3cr)

Undergraduate seminar on advanced mathematical topics. Students are required to develop an understanding of an advanced subject beyond the scope of an existing course or synthesize two or more different areas form their curriculum. Students are required to participate in the seminar, present their results to the Department and write a substantial thesis in their topic area. Essential course elements include library research, original research, and both verbal and written exposition. The first semester is a graduation requirement for majors in mathematics.

##### Notes:

Senior Status Math majors

## Undergraduate Degree Requirements

All bachelor's degree candidates are required to earn a minimum 2.000 cumulative grade point average (GPA), to present a minimum of 120 semester hours, to fulfill the residency requirements, to conform to the general regulations and requirements of the University, to satisfy the regulations and academic standards of the colleges which exercise jurisdiction over the degrees for which they are matriculating, to satisfy the curriculum requirements established by the departments or programs in their major, and to complete the University's Core Curriculum requirements, which are listed within the program's curriculum outline. For additional information regarding the University's general policies and procedures, transfer credit information and residency requirements; please refer to our Academic Policies & Procedures.

## Tuition & Fees

Tuition at UMass Lowell is typically half the cost of private colleges, and our online tuition is among the lowest in the nation. Tuition for online programs offered through the Division of Graduate, Online & Professional Studies is the same whether you live in-state, out-of-state or outside of the U.S.

## Fall 2024 Tuition |
Cost Per Credit | Cost Per 3-Credit Course* |
---|---|---|

## Undergraduate |
||

Online and On Campus | $385 | $1,155 |

## Additional Costs |
Cost |
---|---|

Term Registration Fee | $30 |

Returned Check Fee | $30 |

Undergraduate Degree Application | $60 |

Please note: Tuition and fees are subject to change.

#### Looking for Financial Assistance?

UMass Lowell offers a variety of financial aid and scholarship options.

## Apply

### Applying into an Undergraduate Degree Program

Complete the Online Undergraduate Degree Application Form (preferred), or print, complete and submit the Undergraduate Degree Application .pdf form. Please note: Your application will be processed once we have received your $60 application fee. Return your completed application along with your application fee to:

University of Massachusetts Lowell

Division of Graduate, Online & Professional Studies

GPS Admissions

839 Merrimack Street

Lowell, MA 01854

Questions? See our helpful Step-by-Step Guide to the Application Process.

### Admission Requirements

To be considered for acceptance into a bachelor's degree program offered through the Division of Graduate, Online & Professional Studies, students must hold a high school diploma or have passed either the GED^{®} or HiSET^{®}. Graduate, Online & Professional Studies operates on a rolling admissions basis and each application is reviewed when the student's file is complete. Students must be admitted to a degree or certificate program in order to be eligible for most financial aid.

### Questions Regarding Your Undergraduate Application?

Email OCE_Admissions@uml.edu or call 978-934-2474.

### For General Assistance:

Call the Advising Center at 978-934-2474 or 800-480-3190. Our academic advisors are here to help!