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Bachelor of Science in Applied Mathematics

Find solutions to real-world problems with the power of applied mathematics. UMass Lowell's versatile math degree program prepares students to succeed in a wide variety of markets.

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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 Applied Mathematics develop valuable and transferable skills in critical thinking, quantitative analysis and problem solving — skills that are necessary for success in a broad range of fields and a variety of positions such as statistician, computer programmer, financial analyst, market researcher, quality control analyst, teacher and more.

Offered by UMass Lowell’s Department of Mathematical Sciences, the B.S. in Applied Math focuses on the practical application of mathematics in solving real-world problems, while the B.S. in Mathematics program emphasizes mathematical theory and concepts.

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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.1200 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)

UMass Lowell's Breadth of Knowledge required courses are designed to provide students with a foundation that prepares them for continued work within their major and minor fields, as well as endowing them with intellectual habits that will enable them to become lifelong learners. For a list of approved Breadth of Knowledge courses, visit UMass Lowell's core curriculum website.

  • ENGL.1010 College Writing I (3cr) - Available Fall 2020!
  • ENGL.1020 College Writing II (3cr) - Available Fall 2020!
  • ----.---- 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/gened/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) - Available Fall 2020!
  • MATH.2190 Discrete Structures I (3cr) - Available Fall 2020!
  • MATH.2210 Linear Algebra I (3cr) - Available Fall 2020!
  • MATH.2220 Linear Algebra II (3cr)
  • MATH.2340 Differential Equations (3cr) - Available Fall 2020!
    • OR
  • MATH.2360 Engineering Differential Equations (3cr)
  • MATH.3850 Applied Statistics (3cr)
    • OR
  • 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***

Applied Math Requirements (3 Courses / 9cr)

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

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

*Analysis II - Choose one: MATH.3010, MATH.3220, MATH.3620, MATH.4030, MATH.4110, MATH.4130, MATH.4200, MATH.4210, MATH.4500.
**Mathematics Elective 3000 level or above - Excluding MATH.3630, MATH.4190 and MATH.4660.
***Computing Elective - Choose one: COMP.1010+COMP.1030L (4cr) OR INFO.2110. Note: COMP.1010+COMP.1030L fulfill an SCL core requirement.
#No more than 2 AH and SS courses can be from the same academic department. At least one course satisfying Diversity and Cultural Awareness (DCA) Essential Learning Outcome: HIST.1050, POLI.1100, SOCI.1010 or approved substitute. At least one course satisfying Social Responsibility and Ethics (SRE) Essential Learning Outcome: PHIL.2030, PHIL.3350, SOCI.1010 or approved substitute.
##Science courses from among the offerings approved for science majors.

Undergraduate Degree Requirements

All bachelor's degree candidates are required to earn a minimum 2.00 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.

Course Descriptions

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. 3 credits.

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. 3 credits.

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

MATH.1230

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. 3 credits. MA
Prerequisites:

MATH.1250

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. 3 credits. Formerly MATH.3210

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. 3 credits.
Prerequisites:

MATH 1320 pre-req

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. 3 credits.

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. 3 credits. MA
Prerequisites:

MATH.1260

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. 3 credits. MA
Prerequisites:

MATH.2250 Pre-req

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. 3 credits.

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 is used throughout the course for both analytical and numerical calculations. 3 credits. MA

Discusses vector analysis, Green's Theorem, Divergence Theorem, Stokes' Theorem, Fourier series, integrals, and partial differential equations of physics and engineering. 3 credits.
Prerequisites:

MATH 2310, MATH 2340 pre-req

Focuses on the theory and application of numerical techniques including error analysis. Also discusses solution of linear, nonlinear and differential equations, interpolation, numerical integration, and curve fitting. Computer solutions are emphasized. 3 credits.
Prerequisites:

MATH 2310 and 234 pre-req

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. 1 credits.

Introduction to experimental design, data analysis and formal statistical procedures from an applied point of view. 3 credits.
Prerequisites:

MATH 1320 pre-req

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. 3 credits.
Prerequisites:

MATH 1320 pre-req

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. 3 credits. Senior Status Math majors

Tuition & Fees

At UMass Lowell, we believe that students should have as much information as possible up front so they can make informed decisions before enrolling in a degree program or signing up for a course.

Tuition for UMass Lowell Online & Continuing Education students is the same for both in-state and out-of-state students. Tuition is priced per credit. To calculate the tuition for a course, simply multiply the per-credit tuition by the total number of credits per course. Exception: If the total number of course contact hours is greater than the total number of credits, the per-credit tuition is instead multiplied by the total number of contact hours.

Fall 2020 Tuition

 Per Credit / Contact Hour
Undergraduate Face-to-Face Courses and Audit $340.00
Undergraduate Online Courses and Audit (except Manning School of Business* Undergraduate Online Courses and Audit) $380.00
Manning School of Business* Undergraduate Online Courses and Audit $385.00
Registration includes access to parking after 3 pm and access to Blackboard.

*Applies to courses with the following prefixes: ACCT, BUSI, ENTR, FINA, MGMT, MKTG, MIST, POMS offered through the Manning School of Business
**Applies to courses with the following prefixes: CHEN, CIVE, EECE, MECH, PLAS offered through the Francis College of Engineering

Additional Fees
Registration Fee per Term $30.00
Late Fee for Nonpayment $50.00
Fee for Undergraduate Degree Application $60.00

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Registration

Current students can register using SiS Self-Service. New students who have not already applied and been accepted to a program must use the Non-Degree Registration Form.

You can take courses without being officially enrolled in a certificate or degree program, but you must meet course prerequisites. Registrations are accepted on a first-come, first-served basis. Class size is limited. We recommend that you register early to reserve your place in class.

For more information, please visit our Registration Page.

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Register with Non-Degree Reg. Form

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Questions?

Email our Advising Center for assistance, or call 800-480-3190 to speak with an advisor.

Please Note: While every effort has been made to ensure the accuracy of the information presented within this website, the Division of Graduate, Online & Professional Studies reserves the right to implement new rules and regulations and to make changes of any nature in its program, calendar, locations, tuition and fees. Whenever possible, appropriate notice of such changes will be given before they become effective. In registering for courses, each student assumes full responsibility for knowledge of and compliance with the definitions, regulations, and procedures for the University as set forth in our Academic Policies & Procedures and on the main UMass Lowell website.

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.

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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!

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