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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The following course outline, which lists 3 courses each semester, is only a suggested course load. First-year students should not take more than 1 or 2 courses their first semester. Subsequent course loads may be determined by the student's own personal time constraints.
Please note, that while some of the courses required for this degree may be completed online, this program is not available entirely online. Face-to-face courses are required.
* The purpose of concentration electives is to allow students, with the assistance of their advisor, to take advantage of the many state-of-the-art courses available at the University: science, information technology, engineering, decision science, actuarial science, operations research, mathematical biology, bioinformatics, economics, computer science, etc. A student may take a maximum of 15 credits of math courses (MATH prefix) as concentration electives. MATH.2830 and MATH.3630 cannot be used as math electives.
** Electives may be chosen from any courses from the University. However, no more than 60 mathematics credits (beyond MATH.1200 and MATH.1230) can be counted toward graduation. All mathematics courses have prefix MATH.
# Analysis I & II requirements: One basic analysis course (MATH.4030, MATH.4110, MATH.5010) and one additional analysis course not used to fulfill another requirement (MATH.3010, MATH.3220, MATH.3620, MATH.4030, MATH.4110, MATH.4130, MATH.4200, MATH.4210, MATH.4500).
Many 5000-level mathematics courses are within the grasp of upper level undergraduate students. Refer to the day school schedule of classes for graduate course listings. Many graduate courses are offered in the late afternoon/early evening time frame.
Note: Students who officially applied and were accepted into this program prior to September 2005 may follow the previous curriculum outline for this program.
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.
Studies the principles of production and exchange. An introduction to demand, supply, pricing, and output under alternative market structures. Derived demand and resource markets are introduced. Meets Core Curriculum Essential Learning Outcome for Quantitative Literacy (QL). 3 credits. BS
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.
Studies the theory and practice of letters, memoranda, reports and oral presentations on specific scientific and technical problems. 3 credits. Students may not receive credit for both ENGL.2240 and ENGL.2260; Students will learn about scientific and technical communication by engaging with lab reports, step-by-step instructions, technical manuals and so forth. This course gives students the opportunity to write two chapters in a technical manual by the end of the course. These chapters will include step-by-step instructions on how to fix, prepare, create, or describe a function or process related to a specific individual project.
Intended for students whose background in basic algebra is current. The course objective is to provide students with problem solving and computational techniques needed for further course work and in their occupation. Topics covered include: linear equations, slope of a line, quadratic equations, functions, transformations, inequalities, curve sketching, systems of equations, and the exponential and logarithmic functions 3 credit(s) Prerequisite: MATH.1115 or equivalent or satisfactory score on the Math Placement Exam given the first week of class. Credit is given for only one of the following courses; MATH.1200, or MATH.1210. 3 credits. Credit is given for only one of the two following courses: 92.120 or 92.121.
MATH.1115, equivalent, or passing Math Placement Exam
Reviews angles and their measure, the trigonometric functions, solving triangles, law of sines, law of cosines, circular functions and their graphs, vectors and trigonometric identities. No credit in Science or Engineering. 3 credits. MA. Students may not receive credit for both 92.123 and 92.124.
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.
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
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.
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
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
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.
Discusses vector analysis, Green's Theorem, Divergence Theorem, Stokes' Theorem, Fourier series, integrals, and partial differential equations of physics and engineering. 3 credits.
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.
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.
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. 3 credits.
MATH 1320 pre-req
Applications of mathematics to real life problems. Topics include dimensional analysis, population dynamics wave and heat propagation, traffic flow. 3 credits.
MATH 2340 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
Presents material in both the class and laboratory format. Topics include: vectors; one- and two- dimensional motion; Newton's laws of motion; translational and rotational equilibrium; work and energy; linear momentum; and circular motion and gravitation. Two additional Friday night classes are required. 3 credits.
Covers material in both the class and laboratory format. Rotational dynamics; mechanical vibrations and waves; sound; solids and fluids; thermal physics; heat and law of thermodynamics will be discussed. One session per week. Two additional Friday night classes are required. 3 credits. SL
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Tuition for UMass Lowell Online and 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.
|Per credit-contact hr.|
|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|
|Graduate Online, On-Campus, and Off-Campus Courses and Audit (except Manning School of Business* Online, MBA in Haverhill, MSIT, Masters in Engineering Management, and Education Courses)||$575.00|
|Graduate Education Courses||$470.00||MSIT and Masters in Engineering Management** Online Courses||$590.00|
|Manning School of Business* Graduate Online Courses||$655.00|
|MBA Graduate Courses in Haverhill||$835.00|
|Registration Fee per Term (non-refundable)||$30.00|
|Late Fee for Non Payment||$50.00|
|Fee for Undergraduate Degree Application||$60.00|
You may take courses without being officially enrolled in a certificate or degree program, but you must meet the particular 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.
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Please refer to our tuition and fees page for up-to-date pricing information or refer to the Online & Continuing Education Course Bulletin that is published each semester.
Have you taken credit courses at another accredited college or university in the past? You may be able to count those courses towards your degree at UMass Lowell. Please review our transfer credit policy and email our advisors at Continuing_Education@uml.edu for additional details.
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 Online & Continuing Education
OCE Admissions - Southwick Hall, Rm 203
1 University Avenue
Lowell, MA, 01854
Questions? See our helpful Step-by-Step Guide to the Application Process.
To be considered for acceptance into a bachelor's degree program offered through the Division of Online and Continuing Education, students must hold a high school diploma or have passed either the GED® or HiSET®. Online and Continuing Education 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.
Email OCE_Admissions@uml.edu or call (978) 934-2474.
Call the Online and Continuing Education Student Support Center at (978) 934-2474 or (800) 480-3190. Our team of Student Support Specialists are here to help!