Code  Course  Credits 

MTH 101 
Pre CalculusOffered: Fall Semester Algebraic equations and simplification: factoring, common denominators and conjugates. Graphs of equations. Lines, quadratic curves: equations and graphs. Graphing curves with intercepts and asymptotes. Examples using algebraic, logarithmic and exponential and trigonometric functions. Use of mathematics technology.

3 
MTH 105 
Finite MathematicsOffered: Fall Semester Operations with matrices. Systems of linear equations. Linear programming. The simplex method. Sets and counting. Permutations and combinations. Probability. Conditional probability. Independence. Bayes' theorem. Markov chains. Absorbing Markov chains. Course is being piloted 20122013 and 20132014. Limited to business majors only. 
3 
MTH 119 
Applied Calculus for BusinessOffered: Fall and Spring Semesters A onesemester introduction to differential and integral Calculus designed for Business Administration majors. Topics include limits, derivatives, rates, exponential functions, antiderivatives, graphs, logarithms and exponential functions, antiderivatives, differential equations. The course emphasizes computation, problemsolving and applications. Students may not receive credit for MTH 119 and MTH 125.

3 
MTH 125 
Calculus IOffered: Fall and Spring Semesters Calculus of a single variable: functions, limits, derivatives, differentiation rules, applications of derivatives, integrals, techniques of integration, applications of integration, infinite sequences and series, first and second order differential equations. May not receive credit for both MTH 125 and MTH 119.
Prerequisite(s): Prerequisite for MTH 126: MTH 125. 
4 
MTH 126 
Calculus IIOffered: Spring Semesters Calculus of a single variable: functions, limits, derivatives, differentiation rules, applications of derivatives, integrals, techniques of integration, applications of integration, infinite sequences and series, first and second order differential equations. May not receive credit for both MTH 125 and MTH 119.
Prerequisite(s): Prerequisite for MTH 126: MTH 125. 
4 
MTH 143 
Mathematical Reasoning for EducationOffered: Fall and Spring Semester A onesemester course designed for Education majors. The course includes a review of algebra and geometry. Further topics include: types of numbers, algebraic structures, theory of equations, combinatorics, probability and statistics, interpreting and analyzing data. The course emphasizes problem solving, quantitative and logical reasoning.

3 
MTH 145 
Basic Quantitative TechniquesOffered: Fall and Spring Semesters Basic methods of data analysis: organizing and summarizing data, probability, probability distributions, statistical inference. Fulfills the Statistical Reasoning requirement. 
3 
MTH 191 
The Language of MathematicsOffered: Fall Semester Covers basic concepts, reasoning patterns, and the language skills which are fundamental to higher mathematics. These skills include the ability to read and write mathematics, employ common patterns of mathematical thought, and read the write proofs.
Prerequisite(s): MTH 126 or consent of the instructor. 
4 
MTH 207 
Statistical Reasoning: ChanceOffered: Fall Semesters An introduction to the ideas and issues of probability and statistics and their application in everyday life. Topics include: experiment design, descriptive statistics, chance and inference. Fulfills the Statistical Reasoning requirement. 
3 
MTH 225 
Statistics for ScienceOffered: Spring Semester Probability; descriptive statistics; normal distribution, inference; hypothesis testing; analysis of variance; sampling theory; correlation and regression. Examples from the sciences.
Prerequisite(s): MTH 125 or MTH 119. 
3 
MTH 251 
Linear AlgebraOffered: Spring Semester The development of the methods and underlying ideas for solving systems of linear equations. Topics include: vectors, matrices, linear transformations, determinants and eigenvectors. Use of mathematical software MAPLE, in applications.
Prerequisite(s): MTH 261. 
4 
MTH 261 
Multivariable CalculusOffered: Fall Semester Continuation of the sequence begun in Calculus I and II. Functions of several variables, analytic geometry, vectors, partial derivatives, multiple integration.
Prerequisite(s): MTH 126. 
4 
MTH 270 
Discrete MathematicsOffered: Spring Semester Sets operations, Countability, Functions, Number Theory, Equivalence Relations, Recurrence Relations, Graphs, Combinatorics, Probability.
Prerequisite(s): MTH 191 or instructor permission. 
3 
MTH 351 
Abstract Algebra IOffered: Fall Semester Groups, rings, fields, rings of polynomials, extension fields, automorphisms of fields, splitting fields, Galois theory.
Prerequisite(s): MTH 270 
3 
MTH 352 
Abstract Algebra IIOffered: Spring Semester Groups, rings, fields, rings of polynomials, extension fields, automorphisms of fields, splitting fields, Galois theory.
Prerequisite(s): MTH 351. 
3 
MTH 361 
Real Analysis IOffered: Fall Semester Rigorous development of the theory of calculus of one variable. Topics include: properties of the real line, sequences, series, limits, continuity and uniform continuity. Additional topics from differential and integral calculus of one or more variables.
Prerequisite(s): MTH 261 and MTH 191 
3 
MTH 362 
Real Analysis IIOffered: Spring Semester Rigorous development of the theory of calculus of one variable. Topics include: properties of the real line, sequences, series, limits, continuity and uniform continuity. Additional topics from differential and integral calculus of one or more variables.
Prerequisite(s): MTH 361. 
3 
MTH 363 
Modern GeometryOffered: Fall Semester The axiomatic approach of Hilbert to Euclid’s Elements. Geometry from the viewpoint of rigid transformations. NonEuclidean Geometry. The roles of coordinates, both global and local. Geometrizations of low dimensional manifolds.
Prerequisite(s): MTH 251, MTH 261. 
3 
MTH 364 
Differential Equations and DynamicsOffered: Alternate Years: Spring 2016, 2018 An introduction to qualitative and quantitative methods for ordinary differential equations. Topics include first and second order equations, existence and uniqueness of solutions, logistic models, planar linear systems (including phase portraits), regular singular points. Other topics selected from: flows, the stable manifold theorem, and Laplace transforms.
Prerequisite(s): MTH 261. 
3 
MTH 371 
Combinatorics and Graph TheoryOffered: Alternate Years: Fall 2015, 2017 Methods for determining, given some well defined operation, the number of ways it can be performed. Networks of dots and lines.
Prerequisite(s): MTH 270. 
3 
MTH 377 
Number TheoryOffered: Alternate Years: Spring 2015, 2017 Mathematical induction, prime numbers, Diophantine equations, congruences, sums of squares.
Prerequisite(s): MTH 251 and MTH 270. 
3 
MTH 384 
Theory of ComputationOffered: Not Offered 20142015 For description and semester schedule see CSC 384.

3 
MTH 393 
Numerical AnalysisOffered: Alternate Years: Spring 2016, 2018 Both theoretical and practical problems in the computational aspects of mathematics: approximation of functions, numerical differentiation, solutions to algebraic and differential equations; topics in linear algebra. Also listed as CSC 393.
Prerequisite(s): MTH 251and MTH 261. 
3 
MTH 395 
Probability and Statistics IOffered: Alternate Years: Fall 2014, 2016 Mathematical theory of probability, axioms and basic properties, random variables; continuous and discrete distributions, moments, generating functions, special distributions, law of large numbers, central limit theorem. Use of mathematical software in applications.
Prerequisite(s): MTH 251 and MTH 261. 
3 
MTH 396 
Probability and Statistics IIOffered: Alternate Years: Spring 2015, 2017 Continuation of MTH 395. Theory and application of statistics; random sampling; organization of data; descriptive statistics; sample mean and additional special distributions, the theory of estimators, applications of estimation, hypothesis testing and Regression. Mathematical software is used in applications of statistics.
Prerequisite(s): MTH 395. 
3 
MTH 399 
Topics in MathematicsOffered: Offered Periodically

3 
MTH 420 
Senior Capstone: Mathematical ModelingOffered: Fall Semester Students learn to create models of real world phenomena using mathematical tools such as difference equations, differential equations, lineal algebra, and calculus.
Prerequisite(s): Math Major, Senior Standing. 
4 
MTH 475 
Internship in MathematicsOffered: Fall and Spring Semesters Requires approval of the Department Chairperson. Must complete the "U.S. Internship Request for Approval" process found under the myPlans tab in myHill to register for this Internship. 
3 
MTH 490 
Directed StudyOffered: Fall and Spring Semesters Opportunity for upper level students to do advanced work in a specialized area of mathematics. Permission of faculty member directing the project and the department chairperson required.

3 
MTH 496 
Independent ResearchOffered: Fall and Spring Semesters Students carry out an independent research project under the direction of a faculty member. The research may be part of an ongoing project being conducted by the faculty member, or the student and faculty member may develop an original project.
Prerequisite(s): Approval of the faculty member and the Department Chairperson. 
3 
MTH 497 
Senior ThesisOffered: Fall and Spring Semesters Students complete an independent scholarly work under the guidance of a faculty member, resulting in a substantial written work. A committee of three faculty members evaluate the thesis. The student also presents the thesis in a colloquium open to the college community.
Prerequisite(s): Senior standing in the department; approval of the faculty member and the Department Chairperson. 
3 