Dec 04, 2024

2023-2024 UMaine Undergraduate Catalog

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2023-2024 UMaine Undergraduate Catalog [ARCHIVED CATALOG]

Mathematics

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OVERVIEW OF DEGREE REQUIREMENTS

Minimum number of credits required to graduate: 120

Minimum Cumulative GPA required to graduate: 2.0

Minimum number of credits required to complete the major: BA 42; BS 54

Minimum Grade requirements for courses to count toward major: A “C” or better is required in any MAT or STS course to fulfill a major requirement.

Other GPA requirements to graduate: A minimum accumulative GPA of 2.0 (“C”) in the major.

Required Course(s) for fulfilling Capstone Experience: MAT 401 or HON 498 and HON 499

Residency requirement: Majors in the College of Liberal Arts & Sciences require a minimum of 15 institutional credits in the major.

Contact Information: Nigel Pitt, Chair, Mathematics & Statistics, 237 Neville Hall, 581-3901, um.mathchair@maine.edu

The BA and BS requirements listed on this page are specific to this particular major. Students are also responsible for meeting any graduation requirements set out by their college. Students in the College of Liberal Arts and Sciences (CLAS) should make sure to review those requirements as stated on the College of Liberal Arts & Sciences page of the catalog.

For more information about our undergraduate and graduate programs, program learning outcomes, internships, special resources and programs, and research and career opportunities, see our website at https://umaine.edu/mathematics/.

The Department of Mathematics maintains the Math Lab in 120 Neville Hall, where students enrolled in lower division mathematics courses can come to collaborate and get supplementary help with their homework assignments. Staffed by faculty and graduate assistants, the Math Lab is open during the academic year.

Information about the Mathematics major

Bachelor of Arts in Mathematics

The BA in mathematics consists of 42 credits, grouped into: core mathematics classes, a probability/statistics requirement, and upper level mathematics electives. Like all BA programs at the University of Maine, it also requires an outside minor or double major.

A student must receive a grade of at least C in a course in order to receive credit toward meeting the requirements for the major.

Core Mathematics Courses (27 credits)

First and Sophomore Years:

MAT 126 - Calculus I Credits: 4
MAT 127 - Calculus II Credits: 4
MAT 228 - Calculus III Credits: 4
MAT 261 - Introduction to Abstract Mathematics Credits: 3
MAT 262 - Linear Algebra Credits: 3
Occasionally a student becomes a math major after having already taken MAT 258. Such students may count MAT 258 in place of MAT 262, provided they take MAT 362 as one of their upper level mathematics electives.

Junior and Senior Years:

MAT 401 - Capstone Seminar in Mathematics Credits: 3
MAT 425 - Introduction to Real Analysis I Credits: 3
MAT 463 - Introduction to Abstract Algebra I Credits: 3

Probability / Statistics Requirement (3 credits)

At least one STS course at 200 level or above. (STS 132 cannot be used for this requirement.)

Upper Level Mathematics Electives (12 credits)

At least four other approved MAT or STS courses, at most one of which may be at the 200-level, and at least two of which must be at the 400 level or above. These courses should be chosen by the student in consultation with their advisor.

Second major or minor

As with all BA programs within the College of Liberal Arts and Sciences (CLAS), each mathematics BA student must complete a second major or a minor in a second academic discipline.

Required Courses in Suggested Sequence for the BA in Mathematics

First Year - First Semester

ENG 101 - College Composition Credits: 3
MAT 126 - Calculus I Credits: 4
Electives (Including courses for completing the University general education requirements) Credits: 7-10

First Year - Second Semester

MAT 127 - Calculus II Credits: 4
Electives (Including courses for completing the University general education requirements) Credits: 11-14

Second Year - First Semester

MAT 228 - Calculus III Credits: 4
MAT 261 - Introduction to Abstract Mathematics Credits: 3
Electives (Including courses for completing the University general education requirements) Credits: 5-8

Second Year - Second Semester

MAT 262 - Linear Algebra Credits: 3
Minor course Credits: 3-6
Statistics elective Credits: 3
Electives (Including courses for completing the University general education requirements) Credits: 3-7

Third Year - First Semester

MAT 425 - Introduction to Real Analysis I Credits: 3
MAT 463 - Introduction to Abstract Algebra I Credits: 3
Second major or minor course Credits: 3-6
Electives (Including courses for completing the University general education requirements) Credits: 8-12

Third Year - Second Semester

One or two MAT courses for the upper-level Concentration Credits: 3-6
Second major or minor course Credits: 3-6
Electives (Including courses for completing the University general education requirements) Credits: 6-9

Fourth Year - First Semester

One or two MAT courses for the upper-level elective Credits: 3-6
Second major or minor course Credits: 3-6
Electives (Including courses for completing the University general education requirements) Credits: 3-6

Fourth Year - Second Semester

MAT 401 - Capstone Seminar in Mathematics Credits: 3
MAT course for the upper-level Concentration Credits: 3
Outside Second major or minor course Credits: 3-6
Electives (Including courses for completing the University general education requirements) Credits: 3-6

Bachelor of Science in Mathematics

The BS in mathematics consists of 54 credits, grouped into: core mathematics courses, core elective courses, and upper level elective courses. BS students do not need to complete a minor or a second major.

Required Courses (33 credits)

MAT 126 - Calculus I Credits: 4
MAT 127 - Calculus II Credits: 4
MAT 228 - Calculus III Credits: 4
MAT 259 - Differential Equations Credits: 3
MAT 261 - Introduction to Abstract Mathematics Credits: 3
MAT 262 - Linear Algebra Credits: 3
MAT 401 - Capstone Seminar in Mathematics Credits: 3
MAT 425 - Introduction to Real Analysis I Credits: 3
MAT 463 - Introduction to Abstract Algebra I Credits: 3
STS 434 - Probability Theory Credits: 3

Core Electives (12 credits)

MAT 426 - Introduction to Real Analysis II Credits: 3 *
MAT 451 - Dynamical Systems Credits: 3
MAT 452 - Complex Analysis Credits: 3
MAT 453 - Partial Differential Equations I Credits: 3
MAT 464 - Introduction to Abstract Algebra II Credits: 3 *
MAT 465 - Theory of Numbers Credits: 3
MAT 471 - Differential Geometry Credits: 3
MAT 487 - Numerical Analysis Credits: 3
At the department chair’s discretion, 500-level alternatives to these electives may be substituted.

* Students must choose at least one of MAT 426 and MAT 464, so as to guarantee a year-long experience of one of these two subareas.

Electives (9 credits)

Students may not count more than six credits of elective STS courses toward the BS in Mathematics. Electives should be at the 300-level or above, with at least one at the 400-level or above.

Required Courses in Suggested Sequence for the BS in Mathematics

4+1 Program

The Department offers a four plus one (4+1) program which leads to both the bachelor’s and master’s degrees. Due to the alternate-year scheduling of our graduate courses, the program is designed so the student can take necessary graduate courses during his or her senior year. This is necessary if the student is to complete the requirements for the M.A. in one year of post-baccalaureate study. Contact the Department for further details.