Course Number

Title

Credits

MATH
005

Basic Math Skills

0

Description of course Basic Math Skills
:

The objective of this course is to provide background knowledge necessary for students to place into MATH 006, MATH 100, or MATH 101. This course serves as a prerequisite for MATH 006, MATH 100, or MATH 101. Topics covered include the real numbers, operations with real numbers, first degree equations and inequalities, Cartesian coordinate system and lines, linear functions, and problem solving. This noncredit course is typically offered two weeks during Jterm and two weeks during July/August. This course does not satisfy the core requirement in Natural Science and Mathematical and Quantitative Reasoning. Offered during July/August and Jterm.

MATH
006

Basic Math Skills II

0

Description of course Basic Math Skills II
:

The objective of this course is to provide background knowledge necessary for students to place into MATH 108. This course serves as a preqequisite for MATH 108. Topics covered include polynomials, rational expressions, exponents, and radicals, quadratic equations, problem solving. This noncredit course is typically offered 2 weeks during Jterm and 2 weeks during August. This course does not satisfy the core requirement in Natural Science and Mathematical and Quantitative Reasoning. Offered during July/August and Jterm. Prerequisite: Successful completion of MATH 005 or a mathematics placement score of 101.

MATH
100

Mathematical Sampler

4

Description of course Mathematical Sampler
:

This survey of basic mathematical concepts includes both modern and historical perspectives. Emphasis is on the development and appreciation of mathematical ideas and their relationship to other disciplines. Topics include, among others: mathematical problemsolving, set theory, graph theory, an introduction to randomness, counting and probability, statistics and data exploration, measurement and symmetry, and recursion. This course satisfies the core curriculum requirement for a corearea course in mathematics and is also recommended as the first course in mathematics for prospective elementary teachers. Prerequisite: A satisfactory score on the mathematics placement exam

MATH
101

Finite Mathematics

4

Description of course Finite Mathematics
:

Elementary set theory, linear equations and matrices, linear programming, finite probability, applications primarily in business and the social sciences. Prerequisite: A satisfactory score on the mathematics placement examination or successful completion of MATH 005.

MATH
103

College Algebra

2

Description of course College Algebra
:

The purpose of this course is to provide knowledge of precalculus topics necessary for MATH 111. This course serves as a prerequisite for MATH 111 and can also serve as a prerequisite for MATH 104. This twocredit course does not satisfy a student's core curriculum requirement in mathematics. Topics covered include solving equations, inequalities, and systems of equations; graphing functions; inverse functions, polynomials; complex numbers; rational functions; exponential functions; properties of logarithms and logarithmic functions; applications. Offered as a directed study every semester. Note: Students who receive credit for this course may not receive credit for MATH 105, MATH 108, or MATH 109. Prerequisite: Math placement at 108 or above or MATH 006.

MATH
104

Trigonometry

2

Description of course Trigonometry
:

The purpose of this course is to provide knowledge of trigonometric topics necessary for MATH 113. This course serves as a prerequisite for MATH 113. This 2credit course does not satisfy a student's core curriculum requirement in mathematics. Topics covered include radian/degree measure; trigonometric and inverse trigonometric functions; graphs of trig functions; applications of trigonometry; analytic trigonometry; trigonometric formulae. Prerequisite: Math placement at 111 or above or MATH 103. NOTE: Students who receive credit for this course may not receive credit for MATH 105, MATH 108, or MATH 109.

MATH
105

Precalculus

4

Description of course Precalculus
:

The real numbers; basic algebra; analytical treatment of the elementary functions emphasizing the exponential, logarithmic and trigonometric functions and their graphs. (This course is intended as preparation for 113 and does not fulfill a general graduation requirement.) Prerequisite: A satisfactory score on the mathematics placement examination NOTE: Students who receive credit for MATH 105 may not receive credit for MATH 108 or 109.

MATH
108

Calculus with Review I

4

Description of course Calculus with Review I
:

The first course of a twocourse sequence designed to integrate introductory calculus material with the algebraic and trigonometric topics necessary to support that study. Review topics include: number systems, basic algebra, functions, the Cartesian coordinate system and graphing. Calculus topics include limits, continuity, derivatives for algebraic functions, applications of derivatives and more graphing. This course is intended only for students planning to take MATH 109 and does not satisfy the mathematics requirement in the core curriculum. Prerequisite: A satisfactory score on the mathematics placement examination or successful completion of MATH 006. NOTE: Students who receive credit for MATH 108 may not receive credit for MATH 105, 111, or 113.

MATH
109

Calculus with Review II

4

Description of course Calculus with Review II
:

The second course of a twocourse sequence designed to integrate introductory calculus material with the algebraic and trigonometric topics necessary to support that study. Review topics include: exponential and logarithmic functions, trigonometric functions and their inverses and associated graphs. Calculus topics include: derivatives of the transcendental functions, applications of those derivatives and an introduction to integration. Prerequisite: a grade of C or better in MATH 108 NOTE: Students who receive credit for MATH 109 may not receive credit for MATH 105, 111, or 113.

MATH
111

Calculus/Business & Soc Sci

4

Description of course Calculus/Business & Soc Sci
:

An introductory course in calculus with motivation and examples drawn from business and the social sciences whenever possible. Does not include the calculus of trigonometric functions. Prerequisite: a grade of C or above in MATH 103 and MATH 105 or a satisfactory score on the mathematics placement examination. (Four years of high school mathematics, including college algebra, also are recommended as background for this course.) Students who are considering taking MATH 114 should take MATH 113 instead of MATH 111. NOTE: Students who receive credit for MATH 111 may not receive credit for MATH 108, 109, or 113.

MATH
112

Calc of Trig Functions

2

Description of course Calc of Trig Functions
:

This course is designed for students who have taken MATH 111 but need to have credit for MATH 113; it covers the material in MATH 113 that is not covered in MATH 111. This course serves as a prerequisite for MATH 114. This 2credit course does not satisfy a student's core curriculum requirement in mathematics. Topics covered include trigonometric functions, inverse trig functions, trigonometric identities, solving trigonometric equations, limits of trigonometric functions, derivatives of trigonometric functions, and integrals of trigonometric functions, and applications. To succesfully complete this course, a student must also pass the MATH 114 placement exam, which will cover calculus topics from MATH 111 as well as the calculus of trigonometric functions learned in this course. Successfully completing this course is equivalent to successfully completing MATH 113. Offered every semester as a directed study. Prerequisite: MATH 111

MATH
113

Calculus I

4

Description of course Calculus I
:

An introductory course in calculus: limits; derivatives and integrals of algebraic, exponential, logarithmic and trigonometric functions of one real variable; applications of the derivative in engineering and the natural sciences. Prerequisite: a grade of C or above in MATH 105 or a satisfactory score on the mathematics placement examination. (Four years of high school mathematics, including college algebra and trigonometry, also are recommended as background for this course.) NOTE: Students who receive credit for MATH 113 may not receive credit for MATH 108, 109, or 111.

MATH
114

Calculus II

4

Description of course Calculus II
:

Techniques of integration; applications of integration; infinite series; parametric/polar equations. Prerequisite: a grade of C or above in MATH112 or 113 or 109

MATH
121

Structures of Elem Math I

4

Description of course Structures of Elem Math I
:

An examination of the mathematical underpinnings of the K8 school curriculum with an emphasis on the conceptual understanding of mathematics. Topics include foundations of integer and rational arithmetic, notions of placevalue and base, number sense and estimation, ratio and proportion, and mathematical problemsolving. This course is recommended as the first course in a threecourse sequence in mathematics for prospective elementary teachers, and fulfills the core area requirement in mathematics in Natural Science and Mathematical and Quantitative Reasoning in the core curriculum. Offered fall and spring semesters.
Prerequisites: MATH placement at or above 100 and one EDUC course (Click here for MaRC Placement Exam Information)

MATH
122

Structures of Elem. Math II

4

Description of course Structures of Elem. Math II
:

An examination of the mathematical underpinnings of the K8 school curriculum with an emphasis on the conceptual understanding of mathematics. Concepts of shape and space will be covered, which will include geometry, measurement, area, volume, surface area, symmetry, the geometry of motion and change, and problem solving. This course is recommended as the second in a threecourse sequence in mathematics for prospective elementary teachers. This course fulfills the third course requirement in the Natural Science and Mathematical and Quantitative Reasoning in the core curriculum. Offered fall and spring semesters.
Prerequisite MATH 121 or permission of instructor

MATH
128

Intro to Discrete Math

4

Description of course Intro to Discrete Math
:

A survey of basic discrete mathematical concepts. Topics include: Boolean algebra, logic, analysis of algorithms, mathematical induction and matrices. Focus on applications to computer science. Prerequisite: MATH 111 or 113 or 109 (may be taken concurrently with consent of the instructor)

MATH
200

MultiVariable Calculus

4

Description of course MultiVariable Calculus
:

Vector algebra in two and three dimensions, partial derivatives, multiple integrals, line integrals, surface integrals, Green's Theorem, Stoke's Theorem, divergence theorem. Prerequisite: a grade of C or higher in MATH 114

MATH
210

IntroDiffer Equations & Syst

4

Description of course IntroDiffer Equations & Syst
:

An introduction to ordinary differential equations (ODEs), with an emphasis on linear differential equations and linear systems, including applications. Topics covered include firstorder equations, ODE models in the physical and biological sciences and engineering, numerical methods of solution, higher order linear equations, matrix tools, the role of eigenvalues and eigenvectors, and LaPlace transforms. Prerequisite: a grade of C or above in MATH 114

MATH
223

Structures of Elem. Math III

4

Description of course Structures of Elem. Math III
:

An advanced examination of the mathematical underpinnings of the K8 school curriculum with an emphasis on the conceptual understanding of mathematics. Topics include counting, graph theory and other discrete topics, number theory, recursion, algebra and functions, probability and statistics. As the third course in a threecourse sequence in mathematics for prospective elementary teachers, this course integrates uses of technology and problem solving in STEM applications appropriate for the K8 classroom.
Prerequisites: MATH 121 and MATH 122

MATH
240

Linear Algebra

4

Description of course Linear Algebra
:

An introductory course in linear algebra, beginning with linear equations and matrix algebra. Subsequent topics include study of vector spaces, orthogonality, eigenvectors and inner products. The course combines theoretical and applied perspectives, including concepts of rigorous proof. Offered every semester. Prerequisite: A grade of C or above in MATH 200 may be taken concurrenlty

MATH
243

Individual Study

2 OR 4

Description of course Individual Study
:

No description is available.

MATH
259

Elements of Geometry & Stat

4

Description of course Elements of Geometry & Stat
:

Intended for elementary education majors who plan a licensure endorsement in mathematics for grades 58. Includes intermediate concepts in geometry and statistics essential for a middle school teacher of mathematics. Topics will include: axiometric systems of geometry with emphasis on Books I and VI of Euclid's Elements; an introduction to nonEuclidean geometry; geometric and inductive reasoning, with applications; introduction to geometric probability and the geometric display of data; organization and analysis of data sets; statistical support of decisions, including applications in education; prediction; the role of randomness in both formal and empirical probability. Prerequisites: MATH 100 and 121

MATH
269

Research

2 OR 4

Description of course Research
:

No description is available.

MATH
297

Topics

4

Description of course Topics
:

The subject matter of these courses will vary from year to year, but will not duplicate existing courses. Descriptions of these courses are available in the Online Printable Schedule. View Online Printable Schedule NOTE: Depending on the subject matter of topics course, the course may or may not count towards a minor in Mathematics.

MATH
298

Topics

4

Description of course Topics
:

The subject matter of these courses will vary from year to year, but will not duplicate existing courses. Descriptions of these courses are available in the Online Printable Schedule. View Online Printable Schedule NOTE: Depending on the subject matter of topics course, the course may or may not count towards a minor in Mathematics.

MATH
300

Advanced Differential Equation

4

Description of course Advanced Differential Equation
:

A second course in differential equations and their applications. Topics are selected from a continued study of linear differential equations and systems, Laplace transforms, series solution methods, nonlinear equations and systems, partial differential equations and other topics chosen by the instructor. Offered spring of oddnumbered years. Prerequisite: A grade of C or above in MATH 210

MATH
301

Abstract Algebra I

4

Description of course Abstract Algebra I
:

Properties of sets, relations and mappings; introduction to groups, rings and fields. Offered every spring semester. Prerequisite: A grade of C or above in MATH 240

MATH
302

Abstract Algebra II

4

Description of course Abstract Algebra II
:

Topics in modern algebra with applications. Includes material selected from the theory of groups, rings, and fields; linear algebra; Boolean algebra and discrete structures. Prerequisite: A grade of C or above MATH 301

MATH
303

Statistics/Applied Sciences

4

Description of course Statistics/Applied Sciences
:

Probability, Estimation, Hypothesis Testing, Analysis of Variance, Regression Analysis, Topics selected from Experimental Design, Statistical Process Control, NonParametric Methods, Factor Analysis as time permits. Offered fall semester. Prerequisite: A grade of C or above in MATH 200 NOTE: Students who receive credit for MATH 303 may not receive credit for MATH 313 or STAT 314.

MATH
313

Probability

4

Description of course Probability
:

Probability theory in discrete and continuous sample spaces; random variables and distribution functions; moments; the momentgenerating function; functions of random variables; law of large numbers; central limit theorem. Offered in spring semester. Prerequisites: A grade of C or above in MATH 200 (may be taken concurrently with consent of instructor) NOTE: Students who receive credit for MATH 313 may not receive credit for MATH 303.

MATH
315

Applied Math & Modeling I

4

Description of course Applied Math & Modeling I
:

This is a topics course in applied mathematics. Course content will be drawn from topics that coincide with expertise of department members. Recent toipics include finite element methods, techniques in scientific computing, wavelets and applications, mathematical biology, and weather modeling. Offered fall semester. Prerequisites: A grade of C or above in MATH 210 and 240, or permission of instructor.

MATH
316

Applied Math & Modeling II

4

Description of course Applied Math & Modeling II
:

This is a second topics course in applied mathematics. It does not require MATH 315 as a prerequisite. Course content will be drawn from the topics listed under MATH 315. Offered spring semester. Prerequisites: A grade of C or above in MATH 210 and MATH 240, or permission of instructor.

MATH
317

Real Analysis

4

Description of course Real Analysis
:

Topology of the real numbers. Functions of one real variable. Rigorous development of continuity and uniform continuity; differentiability; uniform convergence. Sequences and series. Offered fall semester. Prerequisites: A grade of C or above in MATH 240

MATH
325

Geometry

4

Description of course Geometry
:

Axioms for geometries; geometrical transformations and their invariants; nonEuclidean geometries; additional topics. Offered in spring semester. Prerequisites: A grade of C or above in MATH 114; MATH 128 or MATH 240 recommended.

MATH
385

Math Meths/Numerical Anal

4

Description of course Math Meths/Numerical Anal
:

Rigorous mathematical treatment of standard topics in numerical analysis including solutions to linear and nonlinear systems, interpolation, numerical integration and differentiation, differential equations, and iterative techniques in matrix algebra. This course provides a theoretical foundation for the numerical solution of mathematical problems. Offered fall semester. Prerequisites: A grade of C or above in MATH 210 and 240, or permission of instructor

MATH
389

Research

2 OR 4

Description of course Research
:

No description is available.

MATH
393

Individual Study

2 OR 4

Description of course Individual Study
:

No description is available.

MATH
400

Dynamical Systems & Chaos

4

Description of course Dynamical Systems & Chaos
:

An introduction to discrete and continuous dynamical systems and applications with topics including: iterated mappings in one and two dimensions, phaseplane theory, nonlinear differential equations, and chaos. Additional topics will be chosen from among bifurcations, stability, attractors, Lyapunov functions, Julia sets and Mandelbrot sets. Prerequisite: A grade of C or above in MATH 210 or MATH 240, or permission of instructor

MATH
419

Complex Variables

4

Description of course Complex Variables
:

Analytic functions; theorems of Cauchy; Laurent series; residue calculus; entire and meromorphic functions; conformal mapping. Prerequisite: A grade of C or above in MATH 201 and MATH 240, or permission of instructor

MATH
420

Topology

4

Description of course Topology
:

Properties of Euclidean spaces; general spaces; mappings; separation properties; connectedness; compactness; metrizable spaces. Prerequisite: A grade of C or above in MATH 240, or permission of instructor

MATH
450

Adv Math:Explor & Exposition

4

Description of course Adv Math:Explor & Exposition
:

A capstone mathematics course for students seeking to teach secondary mathematics. Students make substantial oral and written presentations. Topics are included from discrete and continuous mathematics. Students use publications, e.g. The American Mathematical Monthly, Mathematics Magazine, Mathematical intelligencer and Scientific American, as well as standard texts, as sources for their work. Prerequisite: one of MATH 301 or 317 with concurrent registration in the other; or permission of instructor

MATH
476

Experiential Learning

2

Description of course Experiential Learning
:

No description is available.

MATH
484

Seminar

2

Description of course Seminar
:

No description is available.

MATH
489

Topics

4

Description of course Topics
:

The subject matter of these courses will vary from year to year, but will not duplicate existing courses. Descriptions of these courses are available in the Searchable Class Schedule on Murphy Online, View Searchable Class Schedule

MATH
495

Individual Study

2 OR 4

Description of course Individual Study
:

No description is available.
