# Mathematics Degree Requirements

Students must complete 120 credits of course work to complete a degree in Mathematics.

**General Education Requirements (57-58 credits)**

In addition to meeting the course requirements for the Mathematics major, all students
must also fulfill the General Education requirements for the Undergraduate College. *S*tudent may apply 6 credits from their major toward these requirements. Six credits
from the Math major can be applied towards General Education requirements.

### Senior Comprehensive Policy

A comprehensive examination was just introduced in spring 2018 and does not currently affect students’ graduation or GPA status. Beginning in spring 2022, the Mathematics Department plans to require passing the comprehensive examination in order to graduate with a major in either mathematics or mathematics education.

**Required Classes (27-33 credits)**

Topics include properties of real numbers; linear, quadratic and higher degree polynomials; logarithmic and exponential functions. There is an emphasis on the graphs of these functions. Offered fall and spring semesters. This course partially fulfills the Critical Thinking requirement in the Undergraduate College’s General Education program. Prerequisite: MAT-0112 or placement. (3 credits)

Provides a detailed study of the mathematics needed for calculus. Concepts are presented and explored from symbolic, graphical, and numerical perspectives. Basic concepts covered include polynomial, rational, exponential, logarithmic, and trigonometric functions, complex numbers, linear systems, numerical patterns, and elementary sequences and series. (3 credits)

** **

MAT-0120, together with MAT-0121, Calculus II, provides a two-course sequence in the differential and integral calculus of functions of one independent variable. Topics include the basic analytic geometry of graphs of functions, and their limits, integrals and derivatives, including the Fundamental Theorem of Calculus. Also, some applications of the integral are discussed. Applications to the physical sciences is a focus of this course, as this sequence of courses is designed to meet the needs of students in all disciplines. Prerequisite: MAT-0115 and MAT-0116 or their equivalents. Offered fall semesters. This course fulfills the Critical Thinking/Problem Solving requirement in the Undergraduate College’s General Education program. (3 credits)

This is the second of a two-course sequence in the differential and integral calculus of functions of one independent variable. Topics include the basic and advanced techniques of integration, analytic geometry of graphs of functions, and their limits, integrals and derivatives, including the Fundamental Theorem of Calculus. Applications of the integral are studied. Applications to the physical sciences is a focus of this course, as this sequence of courses is designed to meet the needs of students in all disciplines. Prerequisite: MAT-0120. Offered spring semester. This course partially fulfills the Critical Thinking/Problem Solving requirement in the Undergraduate College’s General Education program. (3 credits)

This is an introductory course in Number Theory for students interested in mathematics and the teaching of mathematics. The course begins with the basic notions of integers and sequences, divisibility, and mathematical induction. It also covers standard topics such as Prime Numbers; the Fundamental Theorem of Arithmetic; the Euclidean Algorithm; Diophantine Equations; Congruence Equations and their Applications (e.g. Fermat’s Little Theorem); and Application to Encryption and Decryption of Text. Prerequisite: MAT-0225. Offered spring semester. (3 credits)

Linear algebra is the study of linear systems of equations, vector spaces, and linear transformations. Solving systems of linear equations is a basic tool of many mathematical procedures used for solving problems in economics, the social sciences, the natural sciences, and engineering. This course concentrates on the mathematical theory and methods of linear algebra. The student will become competent in solving systems of linear equations, performing matrix algebra, calculating determinants, and finding eigenvalues and eigenvectors. Prerequisite: Prerequisite: MAT-0116 or equivalent. Offered spring semester. (3 credits)

This course is focused on preparing students, including but not limited to those majoring or minoring in mathematics or mathematics education, for 200-level and above mathematics courses. Topics include basic logic, techniques of mathematical proofs, set theory, relations and functions, sequences and series, and basic number theory. Writing is an important part of this course. As such, it is comprehensively integrated into the course and forms a significant part of the course work and course grade. Writing proofs will be explained and practiced throughout the course. Prerequisites: MAT 0116. Offered fall semester. (3 credits)

This is the third semester in a three-semester calculus sequence. This course includes the in-depth study of sequences and series as well as the study of multivariable calculus, including partial derivatives, multiple integrals, and their applications, parametric curves and surfaces in 3-dimensional space; solid analytic geometry; and the calculus of vector-valued functions. Offered fall semester. Prerequisite: MAT 0121 (3 credits)

**Four of the following courses (12 credits)**

A continuation of Statistics I, including hypothesis testing, estimation techniques, correlation and regression, time series analysis and index numbers, analysis of variance and use of computers. Emphasis given to application of statistical decision-making. For students in business, economics, and accounting. This course is cross-listed with BUS-0221 and PSY-0211. Prerequisite: BUS-0220, MAT-0300, or PSY-0211. Offered spring semester. (3 credits)

A study of groups, rings, integral domains, and fields. Prerequisites: MAT-0225. Offered as needed. (3 credits)

History of mathematics with contributions from great mathematicians. Included will be a study of the lives and contributions of eminent women of mathematics. Offered as needed. (3 credits)

Topology is the mathematical study of shapes, or topological spaces. This course covers the basics of point-set topology, including topological spaces, continuous maps, metric spaces, constructions of topological spaces, compactness, and connectedness. Offered as needed. Prerequisite: MAT 0225. (3 credits)

An independent study under the direction of a faculty member. (3 credits)

Supervised experience in a business/engineering setting. Faculty-student conferences and evaluation sessions will be held periodically. Amount of credit to be arranged based on internship contract and college-wide internship criteria. Prerequisites: Completion of Junior Year requirements for Math Major degree. (3 credits)

An introduction to the basic concepts, principles, and methods of argument analysis and evaluation, including deductive vs. inductive reasoning, validity, soundness, truth tables, deductive proof, and probability and statistical reasoning. May also include Aristotelian logic, informal fallacies, and causal reasoning and scientific method. Helpful for students preparing for GREs or LSATs. Offered every year. (3 credits)

Newtonian mechanics; mass, velocity and acceleration; force and work; motion in a line and plane; gravitation; kinetic and potential energy; impulse and momentum, rotation; periodic motion; fluids; heat and temperature; gases, liquids and solids; laws of thermodynamics; kinetic theory; wave and acoustics. Prerequisite: MAT 0120. Usually offered in fall. (3 credits)

Electricity and magnetism; electric charge and potential; Coulomb's law; capacitance; current and resistance; Ohm's law; direct current circuits; magnetic fields and forces; induced voltage; inductance; alternating currents; electromagnetic waves; light and geometric optics; diffraction effects; relativity; photons, electrons and protons; quantum and nuclear concepts; radioactivity. Prerequisite: PHY 0100 Usually offered in spring. (3 credits)

Plus two “math related” courses in Accounting, Biology, Business, Chemistry, Economics, or Physics.