Mathematics

A stand-alone preparatory course. Topics include expressions, linear equations and inequalities, linear functions, slope, word problems, systems of linear equations, radicals, polynomials and factoring techniques, rational expressions, quadratic equations, and exponents. Calculator use is allowed in the course. The institutional credits awarded for this course do not count toward graduation requirements but are calculated into GPA. Completion of this course requires a grade of C or higher to advance to a college-level mathematics course. For institutional credit only.

Exposes students to a wide range of general mathematics. Problem solving and critical thinking skills, along with the use of technology, will be emphasized and reinforced throughout the course as the student becomes actively involved in solving applied problems. Topics include number systems, set theory, modeling, finance, geometry, measurement, probability, statistics, and selected subtopics related to the student’s major field of study. A graphing calculator is strongly recommended. Students who have received credit for this course may not also receive credit for MATH 120XC.

Exposes students to a wide range of general mathematics. Problem solving and critical thinking skills, along with the use of technology, will be emphasized and reinforced throughout the course as the student becomes actively involved in solving applied problems. Topics include number theory and systems, functions and modeling, finance, geometry, measurement, probability, statistics, and selected subtopics related to the student’s major field of study. Students who have received credit for this course may not also receive credit for MATH 120C.

Reviews introductory algebra concepts such as solving systems of linear equations and factoring and covers intermediate algebra topics including compound and absolute value inequalities; systems of linear inequalities; quadratic and higher order functions and equations; graphing; composition and transformations of functions; rational, radical, exponential, and logarithmic functions and equations; and applications of each topic. A TI 84 graphing calculator is required.

Topics include linear, quadratic, and higher degree equations; rational, radical, exponential, and logarithmic equations; graphs of functions; models and applications of functions; systems of linear equations; matrices and conic sections; sequences and series; and trigonometry. A graphing calculator is required. (Prerequisite: MATH 122C with a grade of “C” or higher or by recommendation of the Math/Physics Department based on placement testing.) Students who have received credit for MATH 124XC may not also receive credit for MATH 124C.

Topics include linear, quadratic, and higher degree equations; rational, radical, exponential, and logarithmic equations; graphs of functions; models and applications of functions; systems of linear equations; matrices and conic sections; sequences and series; and trigonometry. A graphing calculator is required. Students who have received credit for MATH 124XC may not also receive credit for MATH 124C.

Topics include matrices, linear programming, counting techniques, sets, probability, statistics, mathematics of finance, Markov chains, and game theory. Applications will be emphasized. A graphing calculator will be required. 

Introduces the student to college-level Euclidean geometry, including definitions, postulates, and theorems. Topics include reasoning and proofs; parallel and perpendicular lines; triangles and congruence; quadrilaterals; circles; transformations; area; and analytic geometry. The course also introduces concepts in non-Euclidean geometry. The student will complete a required project. A graphing calculator, compass, protractor, and dynamic geometry software are required.

Topics include, rational functions, polynomial and rational inequalities, right triangle trigonometry, graphs of trigonometric functions, trigonometric identities and equations, oblique triangles, polar coordinates and equations, vectors, systems of equations and inequalities, matrices, rotation of conic sections, counting methods, binomial theorem, and limits. A graphing calculator is required.

An introduction to statistical reasoning. The focus of the course will be on the development of statistical literacy and statistical thinking through the examination of real-world data from a variety of contexts, including data sets that are of interest to students. The course engages students in projects focusing on activity-based instruction that integrates technology and emphasizes the conceptual understanding of the statistical concepts studied. Topics include sampling methods, descriptive statistics, probability, binomial and normal distributions, estimation, single-sample and two-sample hypothesis tests for means and proportions, regression, and correlation. Additional topics will be selected from contingency table analysis, multiple regression, and/or ANOVA. This course satisfies the Quantitative Reasoning requirement.

Includes limits; derivatives of algebraic, trigonometric, exponential and logarithmic functions; antiderivatives; and an introduction to integration. Applications will be stressed throughout the course including velocity, acceleration, curve sketching, optimization, and related rates. A graphing calculator is required.

Topics include indefinite integration, the definite integral, the Fundamental Theorem of Calculus, integrals of elementary transcendental functions, techniques of integration, polar coordinates, and power series including Taylor series. Applications will be stressed throughout the course including area, volumes of revolution, centroids, and moments of inertia. A graphing calculator is required.

A study of vectors, vector products, vector algebra, and vector-valued functions; motion in space; partial differentiation, gradient, divergence, curl, chain rule, tangent planes, extrema, and Lagrange multipliers; multiple, line, and surface integrals; divergence, and Green’s and Stokes’ theorems. A graphing calculator is required.

Topics include methods of solving and applications of ordinary first- and second-order differential equations, Laplace transformations, series solutions, basics of linear algebra, and systems of differential equations. A graphing calculator is required. 

Introduces students to reading and writing mathematical proofs. Topics include sets and logic, methods of proof, equivalence relations, functions, and cardinality, and topics from number theory and calculus.

Emphasizes techniques of linear algebra with applications. Topics include matrix operations, determinants, solutions of systems of linear equations, linear independence, matrix factorization, linear transformations, vector spaces, orthogonality, inner products and norms, and eigenvalues and eigenvectors. A graphing calculator is required.

Topics include basic measurements of central tendency and variability, frequency distributions, probability; binomial, Poisson, Chi-square, Student t, and normal distributions; sampling distributions, estimation of parameters, hypothesis testing, correlation, and linear regression. A graphing calculator will be required.

Topics include: descriptive statistics; probability and probability distributions; statistical test and confidence intervals for one and two samples; building regression models; designing and analyzing experiments; statistical process control. Includes use of a statistical software package throughout the course. A graphing calculator will be required.

Serves as the capstone course for the Associate in Science in Mathematics Degree, in which the student will demonstrate the application of the knowledge gained throughout the program. This will be achieved either by an independent study investigating mathematics, physics, and/or engineering topics selected by the student with guidance from their program advisor or through participation in an internship with an approved industry partner. The student will submit a written paper and make an oral presentation of the project/internship in a student seminar.