### Mathematics Courses

Addition, subtraction, multiplication and division of signed numbers. Number fluency with

conversions between fractions, decimals and percents. Order of operations, natural number

exponents, and square roots. Simplifying and evaluating algebraic expressions and solving

single-variable linear equations. Applications involving measurements, rates, ratios, proportions,

percents, perimeter, and area.

PREREQ.: MATH 30

Review of basic mathematics; measurement systems, length, area, volume, time, and unit conversions; order of operations, signed numbers, integer exponents, square roots, simple equations and formulas, proportions; calculator use, estimation, and number sense; introduction to statistics and data charts; applications.

Formerly MATH 835. Recommended for students who need additional preparation before taking MATH 40 or introductory courses in chemistry, physics, engineering technology, economics, or business.

PREREQ.: MATH 30 or MATH 35

Operations on real numbers; evaluating, combining, and simplifying polynomials, rational expressions, integer-exponent expressions, and square root expressions; solving linear and quadratic equations, linear inequalities, and systems of linear equations; graphing lines; and applications. Attention to developing proficiency in communication of mathematics, problem solving, and effective learning skills.

PREREQ.: MATH 30 or MATH 35

Accelerated preparation for transfer-level liberal arts mathematics. Real numbers and their operations. Measurement, dimensional analysis, unit conversion, proportional reasoning. Perimeter and area. The Pythagorean theorem. Introduction to algebra. Linear modeling. Logic and sets. Emphasis on logical reasoning through applications.

PREREQ.: MATH 30 or MATH 35

Accelerated preparation for transfer-level statistics. Algebra necessary for college-level statistics, including variables, formulas, and linear equations. Ratios, rates, and proportional reasoning; fractions, decimals and percents; evaluating expressions; analyzing algebraic forms of statistical measures; modeling bivariate data with trend lines; graphical and numerical descriptive techniques for quantitative and categorical data.

PREREQ.: MATH 30 or MATH 35

Accelerated treatment of both elementary and intermediate algebra topics. Polynomials and rational expressions; solving linear, quadratic, and rational equations; linear inequalities; systems of linear equations; graphing lines, parabolas, and circles; radicals and rational exponents; complex numbers; introduction to functions; introduction to exponential functions and logarithms; applications; problem solving skills.

PREREQ: Elementary algebra or higher

Polynomials and rational expressions; solving linear, quadratic, and rational equations; linear inequalities; systems of linear equations; graphing lines, parabolas, and circles; radicals and rational exponents; complex numbers; introduction to functions; introduction to exponential functions and logarithms; applications; problem solving skills.

PREREQ: Intermediate algebra or higher

Survey of mathematics for students with nontechnical goals. Topics include problem solving, set theory, logic, number theory, modeling with functions, geometry, finance, combinatorics, probability, and the role of mathematics in modern society. This course is designed to enhance student appreciation of both the beauty and utility of mathematics.

PREREQ: Intermediate algebra or higher

Linear, quadratic, algebraic, exponential, and logarithmic functions, interest and ordinary annuity problems; introduction to differential and integral calculus of one variable with applications to business and economics.

PREREQ: Intermediate algebra or higher ADVISE: Readiness for college-level English or ESL 188

Descriptive statistics: organization of data, sample surveys, experiments and observational studies, measures of central tendency and dispersion, correlation, regression lines, and analysis of variance (ANOVA). Probability theory. Random variables: expected value, variance, independence, probability distributions, normal approximation. Sampling: sampling distributions, and statistical inference, estimating population parameters, interval estimation, standard tests of hypotheses.

COREQ.: MATH 80

Support for students who are concurrently enrolled in MATH 80, Probability and Statistics. Topics include concepts and skills from arithmetic, pre-algebra, elementary and intermediate algebra, and descriptive statistics that are needed to understand the basics of college-level statistics. Concepts are taught in the context of the linked Math 80 course.

PREREQ: Intermediate algebra or higher

Real functions and their graphs; one-to-one and inverse functions; polynomial, rational, exponential and logarithmic functions; complex numbers and zeros of polynomials; linear systems and matrices; geometric transformations and conic sections; topics in discrete mathematics.

Not recommended for students who have passed MATH 92.

COREQ.: MATH 90

Support for students who are concurrently enrolled in MATH 90, Precalculus Algebra. Topics include concepts and skills from elementary and intermediate algebra that are needed to understand the basics of precalculus algebra. Concepts are taught in the context of the linked Math 90 course.

PREREQ: Intermediate algebra or higher

Polynomial and rational expressions; radicals and rational exponents; equations and inequalities; real functions and their graphs; one-to-one and inverse functions; exponential and logarithmic functions; complex numbers and zeros of polynomials; linear systems and matrices; geometric transformations and conic sections; topics in discrete mathematics; applications.

PREREQ: Intermediate algebra or higher ADVISE: Completion of or concurrent enrollment in: MATH 90

Trigonometric functions and their graphs; trigonometric identities and equations; inverse trigonometric functions; solving triangles; complex numbers.

PREREQ: MATH 60 or MATH 46 or (placement into MATH 90 or MATH 95)

Complete both precalculus Algebra and Trigonometry by taking this single class.? Topics covered include real functions and their graphs; one-to-one and inverse functions; algebraic, exponential and logarithmic, and trigonometric functions; complex numbers and zeros of polynomials; matrices; transformations and conic sections; discrete mathematics; polar coordinates; and applications of trigonometric identities.

MATH 98 = MATH 90 + MATH 95

PREREQ.: MATH 90 or MATH 92 or placement in MATH 100A or 110A

Lines, algebraic functions, exponential functions, logarithmic functions, limits, derivatives, and integrals, with applications.

The calculus sequence of MATH 100A-100B is intended for students majoring in Business, Technology, Social Sciences, or Life Sciences.

PREREQ.: MATH 100A

The second course in a two-semester sequence in applied calculus. Techniques of integration, periodic functions, Taylor polynomials, multi-variable calculus, and differential equations, with applications to business, economics, and science.

The calculus sequence of MATH 100A-100B is intended for students majoring in business, technology, social sciences, or life sciences.

PREREQ: Intermediate algebra or higher ADVISE: Readiness for college-level English or ESL 188

Foundations of Data Science combines an introductory look into the fundamental skills and concepts of computer programming and inferential statistics with hands-on experience in analyzing datasets by using common tools within the industry. Additionally, the course investigates ethical issues surrounding Data Science, such as data privacy.

PREREQ.: (MATH 90 and MATH 95) or (MATH 92 and MATH 95) or placement in MATH 110A

A first course in single-variable calculus. Limits, continuity, differentiation, applications of differentiation, and an introduction to integration.

PREREQ: MATH 110A or placement in MATH 110B

A second course in single-variable calculus. Applications of integration, techniques of integration, numerical integration, indeterminate forms, improper integrals, parametrized curves, polar coordinates, infinite sequences and series, and power series.

PREREQ: MATH 110B

Advanced calculus course focusing on vectors, curves and surfaces in 3-dimensional space, differentiation and integration of multivariate functions, line and surface integrals, and, in particular, the theorems of Green, Stokes, and Gauss.

PREREQ.: MATH 100A or MATH 110A ADVISE: CS 110B or CS 111B

Set theory, logic, proof techniques, mathematical induction, relations and functions, recursion, combinatorics, elementary number theory, trees and graphs, analysis of algorithms. Emphasis on topics of relevance to mathematics and computer science majors.

PREREQ.: Completion of or concurrent enrollment in: MATH 110C

Real vector spaces, subspaces, linear dependence and span, matrix algebra and determinants, basis and dimension, inner product spaces, linear transformations, eigenvalues and eigenvectors, proofs of basic results.

PREREQ.: MATH 110C

Ordinary differential equations and first order linear systems of differential equations; methods of explicit solution; qualitative methods for the behavior of solutions; theoretical results for the linear structure, existence, and uniqueness of solutions.

PREREQ.: MATH 110C

Real vector spaces, subspaces, linear dependence, span, matrix algebra, determinants, basis, dimension, inner product spaces, linear transformations, eigenvalues, eigenvectors, and proofs. Ordinary differential equations and first-order linear systems of differential equations; explicit solutions; qualitative analysis of solution behavior; linear structure, existence, and uniqueness of solutions. Partial differential equations.