Mathematics

A survey in mathematical topics focusing on topics such as growth, finance and statistics that are essential knowledge for an educated citizen. Students will build confidence in mathematical reasoning relevant to a wide range of liberal arts and humanities applications. 

Functions and their graphs (including elementary, exponential and logarithmic functions, and the conic sections) and their inverses in the context in which they are used in calculus. Work with graphing calculators will be integrated into the course.

Introduction to trigonometric functions as they relate to the unit circle and right triangle. Graphs of the functions, applications, problem solving, identities, inverse functions, complex numbers, vectors and analytic geometry including polar coordinates and parametric equations. The basic concepts of sequences and series will be covered.

Fundamental concepts and applications of descriptive and inferential statistics. Includes measures of central tendency and variability, statistical graphs, probability, the normal distribution, hypothesis testing, confidence intervals, ANOVA testing and regression analysis. Graphing calculator or statistical software techniques are used throughout the course.

Differential and integral calculus designed for students majoring in business administration, social sciences and other programs requiring a short course in calculus. Work with graphing calculators will be integrated into the course.

Introduction to limits, derivatives, higher-order derivatives and implicit differentiation. Applications involving maximums and minimums, and related-rates. Analysis of graphs of functions.

Focuses on definite, indefinite, and improper integrals, techniques of integration and using integration to solve area, volume, work and other application problems.

Calculus of parametric and polar functions. Vector operations, calculus of vector-valued functions, analysis of motion in three dimensions. Sequences, series, Taylor polynomials, and Power Series.

First of three elementary education math courses. Includes rigorous examination of topics including number theory, operations and algorithms of real numbers, place value, proportions/percents, and functions. Emphasizes mathematically precise language, mathematical fluency, problem solving, modeling, communication of mathematical ideas, analysis of difficulties in teaching/learning, and other math/educational topics for Pre-K-8.

Second of three elementary education math courses. Topics include properties of two/three dimensional figures, measurement, angles, area, perimeter, volume, surface area, constructions, similarity/congruence, Pythagorean Theorem, trigonometry, and transformations. Emphasizes mathematically precise language, problem solving, communication of mathematical ideas, analysis of difficulties in teaching/learning, and other math/educational topics for Pre-K-8.

Third of three elementary education math courses. Reviews operations on real numbers and algebraic modeling. Topics include applications of proportions/percents, probability, counting, and descriptive statistics. Emphasizes mathematically precise language, mathematical fluency, problem solving, communication of mathematical ideas, analysis of difficulties in tteaching/learning, and other math/educational topics for Pre-K-8.

Focuses on multivariable and vector calculus, including: vector fields, gradients, curl, divergence, optimization, double and triple integrals in rectangular, polar, cylindrical, and spherical coordinate systems, line and surface integrals, Green's Theorem, Divergence Theorem, Stokes' Theorem.

An introductory course intended to prepare students for MATH 93 or MATH 100.  Emphasizes arithmetic operations with signed numbers, fractions and decimals, measuring methodology and unit conversion, basic algebra concepts up through solving linear equations, and applied mathematics as found in Industrial and Technical Programs.

Students will review arithmetic with real numbers, work with expressions containing variables, solve linear equations, graph linear equations in two dimensions, calculate slopes and intercepts for lines, and use unit analysis to solve applications. This course prepares students for MATH 98. Concurrent enrollment in SDS 103 is recommended.

Topics include: solving quadratic, absolute value, rational, radical, exponential and logarithmic equations; graphing shifted quadratic functions; simplifying radical expressions, solving systems of linear inequalities; evaluating logarithms; finding the vertex of a quadratic function.

Functions in context of business, social science and economics. Applications are emphasized including marginal analysis of cost, profit, revenue; break-even; supply and demand; present and future values of annuities; quantities that grow or decay exponentially; and data analysis to determine and use appropriate linear, polynomial, exponential and quadratic mathematical models.

Students will learn and use mathematical technology to investigate and solve in-depth and real-world problems. The technology and topics will be appropriate for the concurrent math course. Technologies will include Maple, R, Octave, Matlab, Excel, Fathom, and Desmos.

Survey of the essential quantitative ideas and mathematical techniques used in decision making in a diversity of disciplines. Includes systems of equations and matrices, linear programming, finance, probability and its uses. Additional topics may be included. Graphing calculators will be integrated into the course.

Focuses on matrices, determinants, systems of equations, vector spaces including the four fundamental subspaces, orthogonality, inner product spaces, least square solutions, eigenvalues/eigenvectors, transformation matrices, dynamical systems and diagonalization. Geometrical understanding will be emphasized. Applications in business, computer science and engineering. Introduction to mathematical proofs.

Modeling with and solving of first- and higher-order ordinary differential equations, systems of linear equations, Laplace Transforms and series solutions of linear differential equations. Methods include numerical, qualitative and analytic approaches. The course will include modeling applications in engineering, chemistry and population studies.