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Mathematics B.S.

Mathematics & Statistics
Swenson College of Science and Engineering
  • Program Type: Baccalaureate
  • Requirements for this program are current for Fall 2023
  • Required credits to graduate with this degree: 120
  • Required credits within the major: 57
  • Degree: Bachelor of Science
The program in mathematics develops competence in mathematical techniques and sharpens mathematical insight. Mathematics is fundamental to solving problems in physics, chemistry, biology, medicine, business, engineering, and technology. The mathematics major prepares students for careers in business, industry, and government and for further graduate studies. Note: the BS in statistics and actuarial science is listed separately. Honors Requirements: To graduate with departmental honors, a student must complete the program with an overall and department GPA of 3.50, satisfactorily complete a research project under the guidance of a department faculty member, and convey research results in a written report and in a department colloquium.
Program Delivery
This program is available:
  • via classroom (the majority of instruction is face-to-face)
Admission Requirements
For information about University of Minnesota admission requirements, visit the Office of Admissions website.
General Requirements
  1. Students must meet all course and credit requirements of the departments and colleges or schools in which they are enrolled including an advanced writing course. Students seeking two degrees must fulfill the requirements of both degrees. However, two degrees cannot be awarded for the same major.
  2. Students must complete all requirements of the Liberal Education Program or its approved equivalent.
  3. Students must complete a minimum of 120 semester credits completed in compliance with University of Minnesota Duluth academic policies with credit limits (e.g., Satisfactory/Non-Satisfactory Grading Policy, Credit for Prior Learning, etc).
  4. At least 30 semester credits must be earned through UMD, and 15 of the last 30 credits earned immediately before graduation must be awarded by UMD.
  5. At least half of upper-division (3xxx-level or higher) credits that satisfy major requirements (major requirements includes all courses required for the major, including courses in a subplan) through UMD.
  6. If a minor is required, students must take at least three upper division credits in their minor field from UMD.
  7. For certificate programs, at least 3 upper-division credits that satisfy requirements for the certificate must be taken through UMD. If the program does not require upper division credits students must take at least one course from the certificate program from UMD.
  8. The minimum cumulative University of Minnesota (UMN) GPA required for graduation is 2.00 and includes only University of Minnesota coursework. A minimum UMN GPA of 2.00 is required in each UMD undergraduate major, minor, and certificate. No academic unit may impose a higher GPA standard to graduate.
  9. Diploma, transcripts, licensure, and certification will be withheld until all financial obligations to the University have been met.
Program Requirements
1. Students are not allowed to minor in Statistics. Double Majors ONLY: A student pursuing a second major in Statistics and Actuarial Science can count STAT 3612 as a major elective, but no other STAT course required for the Statistics and Actuarial Science major can be counted as a major elective.
Advanced Writing (3 cr)
Advanced Writing - WRIT 31xx (3.0 cr)
Calculus (10 cr)
Calculus I
Take one of the following Calculus I courses:
MATH 1290 - Calculus for the Natural Sciences [LE CAT2, LOGIC & QR] (5.0 cr)
or MATH 1296 - Calculus I [LE CAT, LOGIC & QR] (5.0 cr)
Calculus II
MATH 1297 - Calculus II [LOGIC & QR] (5.0 cr)
Mathematics Core (23 cr)
MATH 3280 - Differential Equations with Linear Algebra (4.0 cr)
MATH 3298 - Calculus III (4.0 cr)
MATH 3355 - Discrete Mathematics (4.0 cr)
MATH 4201 - Elementary Real Analysis (4.0 cr)
MATH 4326 - Linear Algebra (3.0 cr)
STAT 3611 - Introduction to Probability and Statistics (4.0 cr)
Mathematics Undergraduate Colloquium (1 cr)
Students must register for this course during their last semester before graduation.
MATH 3941 - Undergraduate Colloquium (1.0 cr)
Computer Science (5 cr)
CS 1511 - Computer Science I [LE CAT] (5.0 cr)
or CS 1581 - Honors: Computer Science I [LE CAT] (5.0 cr)
Mathematics and Statistics Electives (15 cr)
Each course must be at least 3 credits. Core courses cannot count as electives. MATH electives must be at least 3100. MATH 3326 and STAT 3411 cannot count as major electives.
Group 1
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
· MATH 3xxx
· MATH 4xxx
· MATH 5xxx
· STAT 3xxx
· STAT 4xxx
· STAT 5xxx
Group 2
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
· MATH 4xxx
· MATH 5xxx
Group 3
Take 1 or more course(s) totaling 3 or more credit(s) from the following:
· MATH 4xxx
· MATH 5xxx
· STAT 4xxx
· STAT 5xxx
Program Areas of Emphasis
Mathematics includes a wide variety of areas in which students can specialize: traditional mathematics (preparation for Graduate School), applied analysis, computational mathematics, discrete mathematics, and mathematics education. Although no area is required for the MATH major, students are encouraged to work with their advisors to develop a coherent major plan. See the Department of Mathematics and Statistics Web page: http://www.d.umn.edu/math for descriptions of elective course groups.
 
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· Swenson College of Science and Engineering

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· Mathematics B.S. Sample Plan

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· Mathematics B.S.
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MATH 1290 - Calculus for the Natural Sciences (LE CAT2, LOGIC & QR)
Credits: 5.0 [max 5.0]
Course Equivalencies: Math1290/1296/1596
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Differential and integral calculus needed for modeling in earth and life sciences. Computational software. Not intended for students in mathematics, engineering, or physical sciences. prereq: Math ACT 27 or higher or a grade of at least C- in Math 1250 or department consent
MATH 1296 - Calculus I (LE CAT, LOGIC & QR)
Credits: 5.0 [max 5.0]
Course Equivalencies: Math1290/1296/1596
Grading Basis: A-F or Aud
Typically offered: Every Fall, Spring & Summer
First part of a standard introduction to calculus of functions of a single variable. Limits, continuity, derivatives, integrals, and their applications. prereq: Math ACT 27 or higher or a grade of at least C- in Math 1250 or department consent
MATH 1297 - Calculus II (LOGIC & QR)
Credits: 5.0 [max 5.0]
Course Equivalencies: Math 1597/1297
Grading Basis: A-F or Aud
Typically offered: Every Fall, Spring & Summer
Second part of a standard introduction to calculus. Vectors, applications of integrals, transcendental functions, series, and multivariable functions and partial derivatives. prereq: A grade of at least C- in 1290 or 1296 or 1596
MATH 3280 - Differential Equations with Linear Algebra
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall, Spring & Summer
First, second, and higher order equations; series methods; Laplace transforms; systems; software; modeling applications; introduction to vectors; matrix algebra, eigenvalues. prereq: A grade of at least C- in 1297 or 1597
MATH 3298 - Calculus III
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall, Spring & Summer
Third part of a standard introduction to calculus. Conic sections, vectors and vector-valued functions, partial derivatives and multiple integrals, vector fields, Green's and Stokes' theorems. prereq: A grade of at least C- in 1297 or 1597
MATH 3355 - Discrete Mathematics
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Introduction to mathematical logic, predicates and quantifiers, sets, proof techniques, recursion and mathematical induction, recursive algorithms, analysis of algorithms, assertions and loop invariants, complexity measures of algorithms, combinatorial counting techniques, relations, graph theory. prereq: 1297 or 1597 or instructor consent, a grade of C- or better in is required in all prerequisite courses
MATH 4201 - Elementary Real Analysis
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
In-depth study of concepts fundamental to the theory of single-variable calculus, including topology of the real numbers, convergence of sequences and series, function continuity, the derivative, and the Riemann integral. prereq: 3280, 3355, a grade of C- or better in is required in all prerequisite courses, no grad credit; credit will not be granted if already received for 3299
MATH 4326 - Linear Algebra
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Systems of linear equations, matrix algebra, determinants, vector spaces, subspaces, linear independence, span, basis, coordinates, linear transformations, matrix representations of linear transformations, eigenvalues and eigenvectors, diagonalization, Gram-Schmidt orthogonalization, orthogonal projection and least squares. prereq: A grade of at least C- in 3280, 3355, no grad credit
STAT 3611 - Introduction to Probability and Statistics
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall, Spring & Summer
Basic probability, including combinatorial methods, random variables, mathematical expectation. Binomial, normal, and other standard distributions. Moment-generating functions. Basic statistics, including descriptive statistics and sampling distributions. Estimation and statistical hypothesis testing. prereq: A grade of at least C- in Math 1290 or Math 1296
MATH 3941 - Undergraduate Colloquium
Credits: 1.0 [max 1.0]
Grading Basis: S-N or Aud
Typically offered: Every Fall, Spring & Summer
Exposure to UMD mathematics-related colloquia. Sixteen points required: one for attending a colloquium; one for writing an acceptable report on a colloquium (at least four must be earned through writing); up to eight for giving a colloquium. prereq: Math major or minor, department consent; must register during semester of 16th point
CS 1511 - Computer Science I (LE CAT)
Credits: 5.0 [max 5.0]
Course Equivalencies: CS 1511/1581
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
A comprehensive introduction to computer programming using the C++ language. The course covers program design, C++ programming basics, control structures, functions and parameter passing. Students write and implement programs with data structures (arrays), pointers and files. Object-oriented programming is also introduced, along with concepts of abstraction, ADTs, encapsulation and data hiding. prereq: 3 1/2 yrs high school math or instructor consent
CS 1581 - Honors: Computer Science I (LE CAT)
Credits: 5.0 [max 5.0]
Course Equivalencies: CS 1511/1581
Grading Basis: A-F or Aud
Typically offered: Every Fall
Similar to 1511, but in greater depth and with more challenging assignments. For high-ability students. prereq: Honors student, 3 1/2 yrs high school math