Mathematics

COURSE DESCRIPTIONS

Classes

MATH 005 : College Algebra I

An intensive college algebra course that emphasizes manipulative algebra, solutions of equations and inequalities, and graphs and analysis of linear, quadratic, exponential and logarithmic functions. Three lecture hours and two recitation hours per week. Equivalent to Math 006

Credits

4

MATH 005 : College Algebra I WR

An intensive college algebra course that emphasizes manipulative algebra, solutions of equations and inequalities, and graphs and analysis of linear, quadratic, exponential and logarithmic functions. Three lecture hours and two recitation hours per week. Equivalent to Math 006

Credits

4

MATH 006 : College Algebra I

An intensive college algebra course that emphasizes manipulative algebra, solutions of equations and inequalities, and certain elementary functions. Equivalent to Math 005.

Credits

3

Prerequisites

Satisfactory score on mathematics placement examination.

MATH 006 : College Algebra I

 (College Algebra I is a pre-requisite for Math 020 and 021. MATH 020 and 021 are required for all students). See advisor if exempt. 

Credits

3

Prerequisites

Satisfactory score on mathematics placement examination.

MATH 007 : Precalculus

Exponential and logarithmic functions, trigonometry, and systems of equations. Students planning to take 156 should take this course. It is not intended for those students planning to take 026, they should take 010 instead.

Credits

4

Prerequisites

"C" or better in MATH 005 or 006

MATH 009 : Intro to Statistics

A first course in statistics, which includes descriptive and inferential statistics, data collection and organization, measures of central tendency, variation, and position, probability, normal distributions, and confidence intervals. This is an introductory course that may be followed by more specialized statistics courses offered by other departments of the University. Not intended for students who have taken calculus, students with a calculus background should take 189.

Credits

4

Prerequisites

"C" or better in MATH 005 or 006

MATH 010 : College Algebra II

Exponential and logarithmic functions, matrix theory, combinatorics, and probability. Students planning to take 026 should take this course. It is not intended for students planning to take 156, who should, instead, follow 006 with 007.

Credits

4

Prerequisites

"C" or better in MATH 005 or 006

MATH 011 : Intro to Environmental Statist

An introduction to statistics through environmental examples, includes descriptive and inferential statistics, data collection and organization, measures of central tendency, variation, and position, probability, normal distributions, and confidence

Credits

4

Prerequisites

"C" or better in MATH 005 or 006

MATH 012 : Patterns in Math

Introduction to the art, nature and applications of mathematics. Emphasis is placed on mathematical patterns occurring in real life situations. The course is not intended for students planning to take any Calculus course

Credits

3

Prerequisites

"C" or better in MATH 005 or 006

MATH 014 : Intro. to Data Science

Fundamental coursework on the standards and practices for collecting, organizing, managing, exploring, and using data. Topics include preparation, analysis, and visualization of data and creating analysis tools for larger data sets using Python. Students will acquire a working knowledge of data science through hands-on projects and case studies in a variety of business, engineering, social sciences, or life sciences domains. Issues of ethics, leadership, and teamwork are highlighted.

Credits

3

Prerequisites

none

MATH 021 : Fundamental Concepts II

Algebra, expressions and solving equations. Visualization. Properties of angles, circles, spheres, triangles, and quadrilaterals. Measurement, length, area, and volume. Transformations, congruence, and similarity. Basic descriptive statistics and probability. Required of all students in an elementary school certification program. Offered every spring semester.

Credits

3

Prerequisites

"C" or better in MATH 020

MATH 026 : Applied Calculus

Limits, differentiation, integration, introduction to differential equations, and functions of several variables. Prerequisite MATH 007 or 010 or outstanding score on Mathematics Placement Examination.

Credits

4

Prerequisites

"C" or better in MATH 007 or MATH 010

MATH 084 : Directed Readings Honors Sophs

This set of courses (084, 085, 088, 089, 092, 093) is designed for students in the honor's program, and is designed to help students writing an honor's thesis. Others may take the courses with consent of the instructor.

Credits

1 - 3

Prerequisites

Consent of the instructor

MATH 085 : Sophomore Honors

This set of courses (084, 085, 088, 089, 092, 093) is designed for students in the honor's program, and is designed to help students writing an honor's thesis. Others may take the courses with consent of the instructor.

Credits

1 - 3

Prerequisites

Consent of the instructor

MATH 093 : Senior Honors

Focuses on topics related to participation in the Honors Program.

Credits

3

Prerequisites

Consent of the instructor

MATH 101 : Proof and Problem Seminar I

This course and 102 are designed to help mathematics majors make the transition from the Calculus sequence to more advanced and abstract courses, and is to be taken early when a student declares a major. The topics are sets, relations, functions, proofs by induction and contradiction, complex numbers, and binomial coefficients.

Credits

1

Prerequisites

MATH 156, may also be taken concurrently

MATH 102 : Proof & Prob Seminar II

A continuation of 101. The topics of 101 are reinforced by going more deeply into one of number theory, dynamics, probability, graph theory, or modeling.

Credits

1

Prerequisites

A "C" or better in MATH 101

MATH 150 : Modern Geometry

Deductive reasoning through the study of selected topics from Euclidean and non-Euclidean geometrics.

Credits

3

Prerequisites

A "C" or better in MATH 157

MATH 156 : Calculus I

Limits, continuity, and the derivative and integral of functions of one variable, with applications.

Credits

4

Prerequisites

A "C" or better in MATH 007

MATH 157 : Calculus II

Continuation of 156, including more integration, sequences, series, Taylor's theorem, improper integrals, and L'Hospital's rule.

Credits

4

Prerequisites

A "C" or better in MATH 156

MATH 158 : Calculus III

Continuation of 157, including calculus of functions of several variables, with applications.

Credits

4

Prerequisites

A "C" or better in MATH 157

MATH 159 : Differential Equations

Elementary techniques of ordinary differential equations, including slope fields, equilibria, separation of variables, linear differential equations, homogeneous differential equations, undetermined coefficients, bifurcations, power series, Laplace transforms, systems, and numerical methods.

Credits

4

Prerequisites

A "C" or better in MATH 157

MATH 160 : Adv Calculus for Sci & Eng

Vector calculus in several dimensions. Generalizations of the fundamental theorem of calculus. Stokes theorem divergence theorem. Inverse and implicit functions theorems.

Credits

3

Prerequisites

A "C" or better in MATH 158

MATH 161 : Seminar

Offered on demand, seminars in various topics in mathematics.

Credits

3 - 4

Prerequisites

Consent of the instructor

MATH 162 : Seminar

Offered on demand, seminars in various topics in mathematics.

Credits

3

Prerequisites

Consent of the instructor

MATH 164 : Numerical Analysis

Treats numerical integration and numerical solution of differential equations, numerical linear algebra, matrix inversion, characteristic values, error propagation, and stability.

Credits

3

Prerequisites

A "C" or better in MATH 157

MATH 165 : Directed Readings

Readings under a faculty member whose approval is required for admission to course.

Credits

1 - 4

Prerequisites

Consent of the instructor

MATH 166 : Directed Readings

Readings under a faculty member whose approval is required for admission to course.

Credits

1 - 4

Prerequisites

Consent of the instructor

MATH 168 : Actuarial Science Lab I

 Systematic methods and approaches for rapid and accurate solutions of problems arising in elementary algebra, calculus, and analysis.

Credits

1

Prerequisites

A "C" or better in MATH 157

MATH 180 : Intro to Linear Algebra

Vector Spaces, linear transformations, the Gram-Schmidt process, determinants, eigenvectors and eigenvalues, diagonalization and applications.

Credits

3

Prerequisites

A "C" or better in MATH 157

MATH 181 : Discrete Structures

Algebraic structures applicable to computer science, semigroups, graphs, lattices, Boolean algebras, and combinatorics.

Credits

3

Prerequisites

A "C" or better in MATH 157

MATH 183 : Interm Differential Equations

Initial value problems, existence and uniqueness of solutions, properties of solutions boundary value problems, Sturm-Liouville systems, and orthogonal expansions.

Credits

3

Prerequisites

A "C" or better in MATH 159 and 180

MATH 185 : Intro to Complex Variables

Complex numbers and their geometry, plane topology, limits, continuity, differentiation, Cauchy-Riemann equations, analytic functions, series, Cauchy theorems, contour integration, and residue theory.

Credits

3

Prerequisites

A "C" or better in MATH 195

MATH 189 : Probability & Statistics I

Samples spaces, random variables, distributions, expectation, independence, law of large numbers.Prerequisite: 158.

Credits

3

Prerequisites

A "C" or better in MATH 158

MATH 190 : Probability & Statistics II

 Continuation of 189. Includes estimation, order statistics, sufficient statistics, test of hypotheses, and analysis of variance.

Credits

3

Prerequisites

A "C" or better in MATH 189

MATH 192 : Topics in Applied Mathematics

Topics are selected from the following areas: combinatorics, computer science, control theory, fluid dynamics, game theory, information theory, mathematical biology, and statistical mechanics.

Credits

3

Prerequisites

Consent of the instructor

MATH 193 : Actuarial Science Seminar

Treats life contingency, or the theory of interest, or other applications of mathematics to actuarial science as required.

Credits

3

Prerequisites

A "C" or better in MATH 190

MATH 195 : Introduction to Analysis I

Set theory, logic, real and complex numbers, introductory topology, and continuous function. Required for mathematics majors.

Credits

3

Prerequisites

A "C" or better in MATH 101 or 103 and in MATH 157

MATH 196 : Introduction to Analysis II

Sequences, series, limits, continuity, uniform continuity and convergence, differentiation and integration of functions of one variable.

Credits

3

Prerequisites

A "C" or better in MATH 195

MATH 198 : Intro to Modern Alegbra II

Continuation of 197, including isomorphism theorems, Cayley's theorem, the Sylow theorems, p-groups, abelian groups, unique factorization domains, and Galois theory.

Credits

3

Prerequisites

A "C" or better in MATH 197

MATH 199 : Intro to General Topology

Topological spaces, relative topology, and subspaces, finite product spaces, quotient spaces, continuous and topological maps, compactness, connectedness, and separation axioms.

Credits

3

Prerequisites

A "C" or better in MATH 180 in MATH 157

MATH 795 : Intro Anal I-Wrtg

Writing across the curriculum. See 195. This version of the course fulfills an undergraduate writing requirement.

Credits

3

MATH 890 : Study Abroad

Study Abroad. Experiences vary by department, topic, semester, and locale.

Credits

3 - 12

Prerequisites

Department Approval