Mathematics

This course is offered as a co-requisite Math support course for BIOL/CHEM 100.  The course is designed to teach both mathematical content and study skills needed for success in mathematics and sciences classes.  Topics covered will include an introduction to variable expressions and equations, simplifying expressions, solving linear equations, graphing linear equations, solving systems of equations graphically and by substitution, exponents, solving quadratic equations, and quadratic functions.  Placement tests will be given in the first week of classes before add/drop to ensure that MATH 101 is the appropriate math placement for individual students. 

This course does not meet the math requirements for any major. 

Precalculus is designed to help students develop the computational and problem-solving skills needed to succeed in calculus.  Topics covered will include: Solving and graphing equations of exponential, logarithmic, and trigonometric functions, with an emphasis on graphing using function transformations.  Trigonometry will be covered from both a unit circle and a right triangle perspective, topics include analytical trigonometry and trigonometric applications. 

All students enrolled in MATH 124 will need to either test out of MATH 125 (Precalculus Lab) using proctored assessments given during the first week of classes or complete this course as a corequisite.  This course is designed specifically for students who plan to take calculus. 

This course is taught in the Fall and Spring Semesters. 

Precalculus is designed to help students develop the computational and problem-solving skills needed to succeed in calculus.  This course is offered as a corequisite support course for MATH 124 (Precalculus).  Topics covered in this lab will include: just-in-time algebra review focused on graphing skills, factoring, working with rational expressions, and other topics as needed.  This class is not intended as a terminal mathematics course—1 credit hour. 

This course is taught in Fall and Spring semesters. 

All students enrolled in MATH 124 will need to either test out of MATH 125 using a proctored test or complete this course as a corequisite.  The course is designed to teach mathematical and executive functioning skills needed for success in mathematics classes, precalculus and beyond. 

Graphical, numerical, and symbolic study of functions and limits; fundamental concepts of differentiation and integration. Differentiation formulas. Applications to exponential growth and decay, velocity and acceleration. Use of a CAS.

A continuation of Mathematics 151. Applications of integration to physics, statistics and engineering including finding volumes, arc lengths, surface area. Sequences and series, parametrically defined functions including those defined in the polar plane. Introduction to vectors, vector spaces and operations on vectors, including the cross and dot products, norms and linear transformations.

Topics in discrete mathematics; mathematics topics and processes essential to proper understanding of material to be covered in advanced courses; emphasis on techniques of mathematical reasoning. 

Infinite series; two- and three-dimensional vectors, vector calculus; partial derivatives; multiple integrals. Use of a CAS.

Content and pedagogy of elementary and middle school mathematics. Problem solving, logic, sets, number theory, and structure, algorithms of rational numbers, geometry, probability, and statistics. Not applicable toward mathematics major.

Content and pedagogy of secondary school mathematics. Problem solving, logic, sets, number theory, and structure, algorithms of rational numbers, geometry, probability, and statistics. Not applicable toward mathematics major.

Vector spaces, linear dependence, linear mappings, the algebra of matrices over a field, characteristic equations, characteristic roots.

Topics from Euclidean geometry, using transformational approach; general axiomatic systems leading to finite and non-Euclidean geometries.

Topics selected by the instructor for one semester of study based on needs and interests of students, including (but not limited to) number theory, cryptology, real analysis, graph theory, or coding theory.

Some first-order methods; second-order constant coefficient equations; series solutions; first-order linear and nonlinear systems and phase-plane analysis. Applications including population growth models, simple and forced harmonic motion, the pendulum, and chaotic behavior. Use of a CAS.

An introduction to the mathematical theories of probability and statistics, including some topics such as combinatorial methods, conditional probability and independence, discrete and continuous random variables, expectation, simple and multiple regression, analysis of variance, contingency tables, time series, logistic regression, and experimental design. 

Theoretical foundations of computer science, including sets, functions, Boolean algebra, first order predicate calculus, trees, graphs, discrete probability. 

The historical development of mathematics over the past 5,000 years, including typical mathematical problems from various historical periods and biographical and philosophical aspects of mathematics. 

Binary systems, groups, rings, and fields. Normal subgroups, quotient groups, permutation groups, homomorphisms,isomorphisms, and Lagrange's theorem.

Applications of mathematics to a wide variety of problems inherent in a technological society. Emphasis may vary among applications to physical, biological, and environmental systems or linear programming, queueing theory, Markov processes, and other problems of systems engineering. Emphasis on constructing mathematical interpretations of such problems.

Introduction to mathematical analysis. Axiomatic development of the real number system. Examination of foundations of the theory of functions of real variable; limits, continuity, differentiation, and integration of functions of a single real variable, an infinite series.

Series solutions of differential equations, Fourier analysis, partial differential equations, and functions of a complex variable with emphasis on application to physical systems.

Individual study and research in mathematics, under the supervision of a faculty member.

Work experience related to the student's major, jointly supervised by the department and a professional in the field. Although the usual internship will carry either three or six hours credit, a student may elect to arrange an internship carrying between two and six hours credit with the permission of the department. Each hour of credit will require forty hours at the internship site.

Work experience related to the student's major, jointly supervised by the department and a professional in the field. Although the usual internship will carry either three or six hours credit, a student may elect to arrange an internship carrying between two and six hours credit with the permission of the department. Each hour of credit will require forty hours at the internship site.

Mathematical theory underlying selected numerical methods and the application of those methods to solving problems of practical importance. Computer programs used to facilitate calculations. Roots of equations, systems of linear equations, interpolation, approximation, and numerical integration.

Selected topics in mathematics; presentations by students, faculty, or visiting speakers.

Independent research in a special topic for honors.

Independent research in a special topic for honors.