Mathematics Courses

Code Course Credits

MTH 101

Pre Calculus

Offered: 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 Mathematics

Offered: 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 2012-2013 and 2013-2014. Limited to business majors only.

3

MTH 119

Applied Calculus for Business

Offered: Fall and Spring Semesters

A one-semester 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, problem-solving and applications. Students may not receive credit for MTH 119 and MTH 125.

3

MTH 125

Calculus I

Offered: 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 II

Offered: 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 Education

Offered: Fall and Spring Semester

A one-semester 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 Techniques

Offered: 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 Mathematics

Offered: 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.
Fulfills the Natural Scientific Inquiry and Writing in the Disciplines requirements.

4

MTH 207

Statistical Reasoning: Chance

Offered: 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 Science

Offered: 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.
Fulfills the Statistical Reasoning requirement.

3

MTH 251

Linear Algebra

Offered: 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 Calculus

Offered: 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 Mathematics

Offered: 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 I

Offered: 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 II

Offered: 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 I

Offered: 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 II

Offered: 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 Geometry

Offered: Fall Semester

The axiomatic approach of Hilbert to Euclid’s Elements. Geometry from the viewpoint of rigid transformations. Non-Euclidean 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 Dynamics

Offered: 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 Theory

Offered: 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 Theory

Offered: 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 Computation

Offered: Not Offered 2014-2015

For description and semester schedule see CSC 384.

3

MTH 393

Numerical Analysis

Offered: 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 251 and MTH 261.

3

MTH 395

Probability and Statistics I

Offered: 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 II

Offered: 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.
Fulfills the Statistical Reasoning requirement.

3

MTH 399

Topics in Mathematics

Offered: Offered Periodically

3

MTH 420

Senior Capstone: Mathematical Modeling

Offered: 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 Mathematics

Offered: 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 Study

Offered: 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 Research

Offered: 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 Thesis

Offered: 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