Mathematics

Relations and functions, equations and inequalities, complex numbers; polynomial, rational, exponential, and logarithmic functions and systems of equations.

This course addresses areas that have application in the economic, behavioral, social, and life sciences. Topics include linear modeling, systems of linear equations and inequalities; matrix operations; linear programming; mathematics of finance; combinatorics, probability, and expected value; and descriptive statistics. Appropriate use of mathematical technology will be integrated throughout the course.

Angle measure, trigonometric and inverse trigonometric functions, trigonometric identities and equations, parametric and polar coordinates, and general applications.

Equations and inequalities; polynomial, rational, exponential, logarithmic, and trigonometric functions; applications.

This course covers a broad range of mathematics that a person would encounter in their daily life. Topics include: statistical interpretation, data visualization, probability, growth models, finance, politics and voting, logic and sets, and the intersection of mathematics and the arts. Throughout, appropriate use of mathematical technology will be emphasized.

Limits, continuity, differentiation, Mean Value Theorem, integration, Fundamental Theorem of Calculus, and applications.

Applications and techniques of integration, polar equations, parametric equations, sequences and series, power series and applications.

An introduction to statistical methods of gathering, presenting, and analyzing data. Topics include probability and probability distributions, confidence intervals, hypothesis testing, and linear regression and correlation.

Multivariate and vector calculus including partial derivatives, multiple integration and its applications, line and surface integrals, Green’s Theorem and Stoke’s Theorem

Solution of elementary equations by elementary techniques. Laplace transforms, systems of equations, matrix methods, numerical techniques, and applications.

A mathematics content course for prospective elementary school teachers. Topics include problem solving, numeration systems, real numbers, and elementary number theory. Calculators, computers, and manipulatives are used in the course.

A mathematics content course for prospective elementary school teachers that integrates the understanding of content and development of processes. Topics include real numbers, algebraic thinking, functions, probability, statistics/data analysis, geometry, and linear measure (unit analysis).