Mathematics (MATH)

While the content of MATH-100 is identical to that of MATH-101, more time is devoted during the semester to the review and use of elementary mathematical operations. See MATH-101 for content.

The fundamentals of college algebra, analytic geometry and trigonometry will be covered, with particular emphasis on those topics necessary for the calculus sequence.

An introduction to the differential and integral calculus of polynomials, rational functions, exponentials and logarithms. Emphasis is placed on the use of calculus in the study of rate of change, determination of extrema and area under the curve.

This course is a concentrated study of the topics traditionally found in College Algebra. Topics of study include algebraic equations and inequalities, absolute value, polynomial, rational, exponential and logarithmic functions, systems of equations and inequalities, matrices and determinants. Emphasis is place on applications for Science, Health Science, and Engineering. Additional topics may include conic sections, sequences and series, combinatorics, probability, modeling with functions, and mathematical induction.

The fundamentals of college algebra, analytic geometry and trigonometry will be covered, with particular emphasis on those topics necessary for the calculus sequence.

Functions, slope and rate of change, limits, derivations of algebraic functions, maxima and minima applications, indefinite integration, integration by substitution, sigma notation, area between two curves. Knowledge of algebra, geometry and trigonometric functions is assumed.

Differentiation and integration of transcendental functions. Theory and methods of integration and applications. Infinite series, convergent tests, Maclaurin and Taylor series. Convergence of Taylor series.

Study of analytic geometry in 3D-space; algebra of vectors, differentiation and integration of vectors; partial differentiation, multiple integrals; infinite series.

Heavy emphasis will be placed on applications and mathematical modeling. Topics covered include those in a traditional College Algebra course. Students will gain knowledge and skills in problem solving and modeling using graphing calculators and computer software

First-order equations; constant-coefficient, nth-order homogeneous and non-homogeneous equations; special nonlinear equations; elementary applications; power series solutions. May also include elementary numerical techniques for solutions of ordinary differential equations and other computer topics.

This course introduces techniques and methodologies for creating effective visualizations based on principles from graphic design, visual art, perceptual psychology, and cognitive science. Topics include: data and image models, color, graph layout, communication design, infographics, identification of "chart junk", matters of scientific integrity, and optimization of data-ink in multivariate data sets. Although there is no pre-requisite for this course, basic working knowledge of, or willingness to learn, data analysis tools (e.g., R, Excel, Matlab/Octave) will be useful.

An advanced mathematics course covering topics chosen from the following: matrix algebra, Fourier series, Sturm-Liouville systems, boundary-value problems for ordinary differential equations, Laplace’s equation, introduction to Bessel’s equation and Bessel functions.

This course introduces the fundamentals of computational techniques to intermediate-level mathematics students. It explores the basics of linear algebra and differential equations, as well as the error and stability analysis of many numerical solution methods. This course will explore matrix algebra, vector and matrix norms, spectral radius, condition numbers, relaxation and Krylov methods (including the method of steepest decent), finite differences, big-O notation, Taylor series analysis, Fourier analysis, and time-stepping schemes and their stability conditions. We will use these tools to solve Poisson’s equation and the heat equation using Python.