Two students solving math equations on the board in class

Studying Mathematics at Regis

Regis’ mathematics program provides students with a broad knowledge of theoretical and applied mathematics. Calculus I, II and III provide a solid foundation of mathematical theory and problem solving. Advanced mathematical thinking is developed in the required courses Logic and Proof, Linear Algebra, and Abstract Algebra.
Classroom

B.S. in Mathematics

Degree Overview

The Mathematics major is designed to allow (and even encourage) double majors or major/minor combinations with other fields. Computer Science, any of the natural sciences, Finance or Economics, and Education are all obvious natural combinations, but we have had many successful students that combine with majors or minors in English, Religious Studies, and Fine Arts.

The Bachelor of Science in Mathematics degree provides students with a broad knowledge of theoretical and applied mathematics. Calculus I, II and III provide a solid foundation of mathematical theory and problem solving. Advanced mathematical thinking is developed in the required courses Logic and Proof, Linear Algebra, and Abstract Algebra. Beyond these required courses students can tailor the degree to their interests.

We encourage undergraduate research with faculty as a way to develop analytic and communication skills that prepare students for almost any kind of work, as well as for graduate studies in any Mathematics related field. Students can also include an internship experience as a valuable part of the Mathematics major, gaining experience in the world of work while developing problem solving skills. In short, the Mathematics major is a flexible major that prepares students for a wide array of career options. Mathematics graduates are people with strong quantitative skills that can think analytically and solve a variety of problems. Such people will always be in high demand!

Program Requirements

Listed below are the required courses for completion of this degree at Regis University. Please note that recent course requirement updates may not be reflected in the list below and you should contact the Office of Enrollment Services at 303.458.4126 for recent changes and updates.

This degree program requires 128.00 credit hours for completion. Please contact your advisor or the Office of Enrollment Services at 303.458.4126.

Regis College: Core Requirements

Economics

The course descriptions for the above mentioned class could not be found. Please contact Academic Records & Registration at 303-458-4126 with questions. Some additional course information is available and shown here.

(3-6 SH)
Take 1 of the following groups:
Group 1: EC 200 - Intro to the American Economy
Group 2: EC 320 - Principles of Macroeconomics
and
EC 330 - Principles of Microeconomics

EN 250 - Literature Matters

Introduces the literary genres of poetry, fiction, and drama, with an emphasis on works that have had a profound influence on our world. Students will write a series of analytical essays, including at least one research essay.

Pre-requisite: TAKE RCC*200

Fine Arts

The course descriptions for the above mentioned class could not be found. Please contact Academic Records & Registration at 303-458-4126 with questions. Some additional course information is available and shown here.

(3SH)
Take three (3) semester hours of Fine Arts
from the following courses:
any 200-level FAC course, FAHS 211, FAHS 212

Foreign Language

The course descriptions for the above mentioned class could not be found. Please contact Academic Records & Registration at 303-458-4126 with questions. Some additional course information is available and shown here.

(6-8SH)
Take two classes in one language

Foundational

The course descriptions for the above mentioned class could not be found. Please contact Academic Records & Registration at 303-458-4126 with questions. Some additional course information is available and shown here.

(6 SH)
Take 1 of the following groups:
Group 1: RCC 200 - Writing Analytically (Fall)
Communicative Intensive (Spring)
Group 2: Commitment Program Students
RCC 200A - Writing Analytically A (Fall)
RCC 200B - Writing Analytically B (Spring)
Group 3: Honors Program Students
RCC 200H - Honors Writing Seminar (Fall)
RCC 300H - Honors Trad & Innovation (Spring)

History

The course descriptions for the above mentioned class could not be found. Please contact Academic Records & Registration at 303-458-4126 with questions. Some additional course information is available and shown here.

(3SH)
Three (3) credits from any 200-level History course

Integrative

The course descriptions for the above mentioned class could not be found. Please contact Academic Records & Registration at 303-458-4126 with questions. Some additional course information is available and shown here.

(12SH)
Take all of the following courses:
RCC 400D (Group 1), RCC 410E (Group 2),
RCC 420J (Group 3), RCC 430M (Group 4)

Mathematics

The course descriptions for the above mentioned class could not be found. Please contact Academic Records & Registration at 303-458-4126 with questions. Some additional course information is available and shown here.

(3-4SH)
Take one of the following Mathematics course:
MT 201, MT 204, MT 270, MT 270C, MT 272, MT 272C
MT 360A, MT 360B

Natural Science

The course descriptions for the above mentioned class could not be found. Please contact Academic Records & Registration at 303-458-4126 with questions. Some additional course information is available and shown here.

(4SH)
Take one Natural Science course (Group 1) with the
accompanying lab (Group 2).
Eligible courses include:
BL( 204/5E-W, 208/9, 216/17, 260/1, 262/3), ENVS 250/1,
GE 208/9, PH (202A, 205A, 304A, 305A),
AS 250/1 (Non-Science majors),
NS 260/1 (cannot be counted for Psychology Majors)

Philosophy

The course descriptions for the above mentioned class could not be found. Please contact Academic Records & Registration at 303-458-4126 with questions. Some additional course information is available and shown here.

(3SH)
Take one of the following Philosophy courses:
PL 270, PL 270C, PL 270H, PL 270P

Public Speaking

The course descriptions for the above mentioned class could not be found. Please contact Academic Records & Registration at 303-458-4126 with questions. Some additional course information is available and shown here.

(3SH)
Speech Communication

Religious Studies

The course descriptions for the above mentioned class could not be found. Please contact Academic Records & Registration at 303-458-4126 with questions. Some additional course information is available and shown here.

(3SH)
Any 300 level RT course

RT 201 - Religion and the Human Quest

Considering human existence in relation to the sacred and drawing on Eastern and Western religious traditions, this course explores religious perspectives on human questions about life, suffering, goodness, and ultimacy.

Cross listing(s): RT 201C.

Social Science

The course descriptions for the above mentioned class could not be found. Please contact Academic Records & Registration at 303-458-4126 with questions. Some additional course information is available and shown here.

(3SH)
Take three (3) semester hours from the following course list
ED 204, POL 215, POL 231, POL 241, PY 250, PY 250C, PY 250H,
SO 200, SO 200C, SO 203, AN/SO 204, PJ 200

RC: Mathematics Major

Electives

The course descriptions for the above mentioned class could not be found. Please contact Academic Records & Registration at 303-458-4126 with questions. Some additional course information is available and shown here.

(15SH)
Take fifteen (15) upper division semester hours
from Mathematics (MT). Strongly recommended courses,
especially for students planning to go to graduate school
include: MT 454 and MT 480.

MT 360A - Calculus I

Treats standard topics of single variable calculus including limits, continuity, derivatives, applications of derivatives, and elements of integration.

MT 360B - Calculus II

Continues treatment of single variable calculus including definite and indefinite integrals, applications of integrals, transcendental functions, techniques of integration and infinite series.

Pre-requisite: MT*360A

MT 360C - Calculus III

Presents topics of multivariable calculus including calculus of vector functions, multivariable functions, partial derivatives, multiple integrals, applications and other topics as time permits.

Pre-requisite: MT*360B

MT 401 - Logic and Proof

Provides an introduction to mathematical reasoning and proof writing. Topics include set theory, logic and methods of proof.

Pre-requisite: MT*360B

MT 415 - Linear Algebra

Studies vector spaces, linear transformations, matrices, determinants, systems of equations, eigenvalues and characteristic matrices.

Pre-requisite: MT*360A

MT 423A - Abstract Algebra I

Provides an axiomatic treatment of basic concepts of groups, rings and fields.

Pre-requisite: TAKE MT*401;

Course Descriptions

Listed below are the available courses offered at Regis University within this respective degree program. The courses below include the degree program requirements as well as subject related courses. Please contact the Office of Enrollment Services at 303.458.4126 for recent changes and updates.

MT 260 Pre-Calculus (3.00)

Reviews the fundamental topics from Algebra and Trigonometry that are necessary for success in calculus. Topics include graphs, polynominals, rational functions, trigonometric functions, exponentials, logs, and vectors.

MT 360A Calculus I (4.00)

Treats standard topics of single variable calculus including limits, continuity, derivatives, applications of derivatives, and elements of integration.

MT 360B Calculus II (4.00)

Continues treatment of single variable calculus including definite and indefinite integrals, applications of integrals, transcendental functions, techniques of integration and infinite series.

Pre-requisite: MT*360A

MT 360C Calculus III (4.00)

Presents topics of multivariable calculus including calculus of vector functions, multivariable functions, partial derivatives, multiple integrals, applications and other topics as time permits.

Pre-requisite: MT*360B

MT 401 Logic and Proof (3.00)

Provides an introduction to mathematical reasoning and proof writing. Topics include set theory, logic and methods of proof.

Pre-requisite: MT*360B

MT 405 Numerical and Computational Methods (3.00)

Uses computers in solving linear and nonlinear equations, approximation theory, numerical integration and differentiation, numerical solution of differential equations and linear programming.

Pre-requisite: MT*360B

MT 415 Linear Algebra (3.00)

Studies vector spaces, linear transformations, matrices, determinants, systems of equations, eigenvalues and characteristic matrices.

Pre-requisite: MT*360A

MT 420A Intro to Operations Rsrch I (3.00)

Summarizes matrix and vector algebra. Introduces hyperplanes and convex geometry in n-dimensions, scanning extreme points and tableau pivots, the simplex algorithm and slack variables, degeneracy and classification of linear programming problems, duality theory and shadow variables, imputed values and sensitivity analysis.

Pre-requisite: MT*360B

MT 420B Intro to Operations Rsrch II (3.00)

Introduces sequential search techniques, Fibonnacci search, three point interval search, convex functions, gradient techniques, exploratory sequences and accelerated pattern moves for an n-dimensional setting; the feasible direction algorithm; dynamic programming; active versus inactive constraints and penalty functions.

Pre-requisite: MT*360B

MT 423A Abstract Algebra I (3.00)

Provides an axiomatic treatment of basic concepts of groups, rings and fields.

Pre-requisite: TAKE MT*401;

MT 423B Abstract Algebra II (3.00)

A continuation of MT 423A.

Pre-requisite: MT*423A

MT 426 History/Found of Mathematics (3.00)

Discusses topics in ancient methods of numeration and calculation, the history and solution of classical problems, including topics from number theory, algebra, geometry, and calculus. Includes contributions of the great mathematicians, under-represented groups (including minorities and women), and diverse cultures. Investigates the role of mathematics in civilization.

Pre-requisite: MT*360B

MT 430 Intro to Mathematical Modeling (3.00)

Studies principles of constructing mathematical models using techniques such as: difference equations, proportionality, geometric similarity, graphical analysis and dimensional analysis, simulation with random numbers, and systems of differential equations.

Pre-requisite: MT*360B

MT 435 Applied Combinatorics (3.00)

Studies methods for counting arrangements and selections, generating functions, recurrence relations, the inclusion-exclusion principle, elements of graph theory, covering circuits, trees and searching and network algorithms. NOTE: Required for students preparing to teach secondary mathematics.

Pre-requisite: MT*360B

MT 437 Cryptography (3.00)

Includes a brief history of code making and code breaking, modern private key systems (AES), and public key cryptosystems.

Pre-requisite: MT*415

MT 441 Modern Geometry (3.00)

Studies Euclidean and non-Euclidean geometries such as: Mobius, hyperbolic, elliptic, absolute and projective geometries. Geometries are studied using analytic methods and the relation to real-world situations. NOTE: Required for students preparing to teach secondary mathematics.

Pre-requisite: MT*360B

MT 454 Real Analysis (3.00)

Provides rigorous treatment of real numbers, functions, sets and limits-the foundations underlying Calculus. Studies sequences and series of numbers and functions, basis topology, continuity and differentiability of functions, and integration.

Pre-requisite: TAKE MT*401;

MT 460 Topology (3.00)

Covers the essential elements of point-set topology. Examines open and closed sets; topological spares; compactness; connectedness; separation axioms; continuity; metric spaces and completeness.

Pre-requisite: MT*401

MT 463 Differential Equations (3.00)

Studies solutions first and second order different equations, applications, linear differential equations, series solutions, laplace transforms, numerical solutions, and systems of linear differential equations with constant coefficients.

Pre-requisite: MT*360B

MT 470A Mathematical Statistics I (3.00)

Introduces probability; distribution functions and moment generating functions, correlation and regression; development and applications of binomial, normal, student's T, chi square, and F distributions.

Pre-requisite: MT*360B

Cross listing(s): MT 472.

MT 470B Mathematical Statistics II (3.00)

A continuation of MT 470A.

Pre-requisite: MT*360B

Cross listing(s): MT 472.

MT 472 Probability and Statistics (3.00)

Introduces probability and statistics and the underlying mathematical theory, discrete and continuous distributions, sampling distributions, estimation, hypothesis testing and regression.

Pre-requisite: TAKE MT*360B;

MT 480 Complex Analysis (3.00)

Studies calculus of complex variables including: algebra of complex numbers, analytic functions, complex integration, series for complex functions and residue theory. Focuses on applications in mathematics and science. Examines the difference between real and complex variables.

Pre-requisite: MT*360B

MT 490E-W Independent Study/Math: (1.00 - 3.00)

Provides an opportunity for independent exploration of areas of interest.

MT 498E-W Internship/Mathematics (3.00)

Gain experience working with professional mathematicians and scientists in a technical field. Students will be able to relate the mathematics which they are learning in the classroom to the work they expect to be doing after graduation.

How to Apply

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