Mathematics

A study of a variety of mathematical topics for non-science majors. The topics covered may differ between sections, but may include problemsolving strategies, logic, set theory, number theory, mathematics of finance, probability and statistics, or geometry. This class will include students from multiple sections. (QS,NS)

Analysis of linear, quadratic, polynomial, exponential, logarithmic, rational, and radical functions and their graphs; linear and nonlinear inequalities; systems of equations; and matrices. This class will include students from multiple sections. (QS, NS)

Conic sections; trigonometric functions; identities, inverse trigonometric functions; trigonometric equations; solutions of right triangles, laws of sines and cosines; vectors, polar coordinates, and complex numbers, sequences, series, binomial theorem. This class will include students from multiple sections. (QS, NS)

Introduction to methods and applications of elementary descriptive and inferential statistics; summarizing data graphically and numerically, probability, confidence intervals, hypothesis testing, correlation and linear regression. This class will include students from multiple sections. (QS, NS)

Limits, rates of change, graphing, differentiating, optimizing, polynomials, integration, logarithmic and exponential functions, implicit differentiation, business applications. (QS,NS)

Limits and continuity; derivatives of algebraic and trig functions; chain rule, implicit differentiation and applications, an introduction to antiderivatives. This class will include students from multiple sections. (QS, NS)

Calculus of exponential, log, and inverse trig functions; methods of integration; applications of integration; introduction to differential equations; and mathematical modeling. (QS, NS)

Sequences, series, Taylor expansions. Vectors, vector functions, space curves. Functions of several variables, partial derivatives, tangent planes. This class will include students from multiple sections. (QS, NS)

Fundamentals of arithmetic using integers, fractions, decimals, exponents, and square roots; solving basic linear equations; solving problems using percents, proportions, and basic geometry. This class will include students from multiple sections.

This course develops proficiency with solving linear equations and inequalities, simplifying expressions using the rules of exponents, adding/subtracting/multiplying polynomials, graphing various types of equations and linear inequalities, solving systems of linear equations and inequalities, and finding the equations of lines. This class will include students from multiple sections.

This course will expose students to a variety of algebraic techniques that will prepare them for precalculus and calculus. Focus will be placed on quadratic, rational, radical, exponential, and logarithmic expressions and equations. Techniques will include factoring, simplifying (adding/subtracting/ multiplying/dividing) polynomials, rational, radical, exponential and logarithmic expressions. This class will include students from multiple sections.

Designed for future K-6 teachers. Focus is on mathematical concepts, including counting, number sense, operations, algorithms, fractions, ratio, and proportion. Method topics include teaching strategies, assessment methods, and processes of doing mathematics as related to elementary mathematics. This course does not fulfill the quantitative skills requirement for the AA degree. (E)

Methods topics include teaching the usage of technology. Math topics include algebra, geometry, measurement, and statistics. This course satisfies the quantitative skills requirement for the AA degree, provided that Math for Elementary Teachers I has also been completed satisfactorily.

A study of linear functions and modeling, systems of linear equations, matrices, linear programming, the mathematics of finance, sets, counting techniques, and probability. (QS, NS)

This course covers the following topics: linear equations, matrix algebra, use of technology, rigorous proof, vector spaces, linear independence, basis, orthogonality, linear transformations, eigenvalues/ vectors, Gram-Schmidt, least squares regression, and applications.

Review of double integrals in Cartesian and polar coordinates; triple integrals in Cartesian, cylindrical, and spherical coordinates; vector fields; surface integrals; Green’s theorem; divergence theorem; Stokes’ theorem; sequences and series; Taylor’s theorem. (E)

Introduction to applied problem solving with first and second order ordinary differential equations using analytical, numerical and graphic methods.

This course fulfills the missing credit from transferring semester credits to quarter credits for prerequisite coursework for the Nursing DTA only.