Math and Computer Science

This course is offered as a suggested co-requisite course for students enrolled in BIOL/CHEM 100 who need extra Math support.  The course is designed to teach both mathematical content and study skills needed for success in BIOL/CHEM 100.  Topics covered will include an introduction to variable expressions and equations, scientific notation, simplifying expressions, solving linear equations, graphing linear equations, solving systems of equations, exponents, solving proportions, unit conversions, and dimensional analysis.

If a student has passed PreCalculus or Calculus, in high school or college, or passes any college Math class (above developmental level) with at least a C-, that student should be placed in a higher level Math course and not in Math 101, regardless of their enrollment in BIOL/CHEM 100.  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 initially enrolled.

This course does not meet the math requirement 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 polynomial, exponential, logarithmic functions, with an emphasis on graphing using function transformations.  Trigonometry will be covered from both a unit circle and a right triangle perspective and will include working with formulas and identities, solving equations, and graphing Trigonometric functions. The course involves a lab component that reviews and reinforces the Algebra and basic Math skills needed each week. This course is designed for STEM majors and other students who need Calculus.

Calculus I provides the foundation for the calculus sequence, including analytical techniques and theorems. Topics include graphical, numerical, and symbolic study of functions and limits; fundamental concepts of differentiation and integration including the Fundamental Theorem of Calculus; differentiation formulas; integration by substitution; applications will include: curve sketching, optimization, exponential growth and decay models, and velocity and acceleration models.

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.

Descriptive and inferential statistics, probability, and research design with a broad range of applications to various disciplines; statistical software.

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.

An introduction to STEM majors through applications of math, chemistry, and biology. Emphasis is placed on quantitative literacy, study skills, critical scientific reasoning, and introduction to careers and degrees in STEM. This course is designated as a co-requisite to CHEM 111 and provides additional resources to promote student success in CHEM 111. This course also serves as a prerequisite to BIOL 117 and provides students with an overview of biological systems.