Provides mathematical support for students in MTH 102 who place below the Intermediate Algebra level. Carries no transfer credit. Prerequisite: ENG 093 or higher, or equivalent English placement.

Develops conceptual understanding of number systems, descriptive statistics, algebraic expressions, equations, graphs of equations, linear and exponential models, and systems of linear equations. Carries no transfer credit. Prerequisite: Prerequisite: ALEKS score of 14-29, or other placement options.

Introduces concepts of Euclidean plane geometry, including lines, angles, polygons and circles. Carries no transfer credit. Prerequisite: Prior or concurrent enrollment in MTH 065 with a grade of C or better, or other placement options.

Provides mathematical support for students in MTH 102 with a score between 30 and 45 on ALEKS math placement. Prerequisite: MTH 065 with a grade of C or better, or other placement options.

Provides mathematical support for students in MTH 103 who place at the upper MTH 080 level. Carries no transfer credit. Prerequisite: MTH 065 (Algebraic Modeling) with a grade of B or better or other placement options.

Provides mathematical support for students in MTH 165 who place at the intermediate algebra level. Prerequisite: MTH 065 with a grade of C or better, or other placement options. Corequisite: MTH 165

Reviews arithmetic, introduces basic algebraic and right triangle trigonometric techniques. Includes arithmetic, elementary algebra, geometry, ratio and proportions, measurements, right triangle trigonometry and their application to solve a variety of career and technical problems. Draws practical problems from the student’s career area, including emergency services, graphic communications, building trades, culinary arts and information technology. Intended for students pursuing Harper degrees and certificates in career program fields. This mathematics course is intended for AAS degree students only.

Focuses on mathematical reasoning and the solving of real-life problems and appreciation, rather than on routine skills. The following topics will be studied: logic and set theory, mathematics of finance and statistics. The course will incorporate the use of calculators and computers. IAI M1 904 Prerequisite: Placement into college-level mathematics.

Emphasizes algebraic and graphical approaches to college algebra. Topics include but are not limited to: polynomial, rational, exponential, and logarithmic functions; systems of equations and inequalities; matrices; mathematical modeling. NOTE: This course does not fulfill the math requirement for the AA or AS degrees. Prerequisite: MTH 070 with a grade of C or better or Geometry Waiver AND placement into college level mathematics.

Develops the mathematics of simple models in behavioral, social and management sciences. Studies applications of set theory, vectors and matrices, linear programming, probability rules, and Markov chains with computer assistance. IAI M1 906 Prerequisite: MTH 103 with a grade of C or better, or other placement options.

Focuses on mathematical reasoning and problem solving and is designed to meet the requirements of the state certification of elementary teachers when taken in conjunction with MTH 131. The course examines the underlying conceptual framework for the topics of sets, functions, whole numbers, number theory, integers, rational numbers, irrational numbers and the real number system. Students are expected to be active participants in the learning process. They will apply mathematical reasoning in a variety of problem solving situations using estimation, models, tables, graphs and symbolic representations. The use of appropriate techniques and tools, such as calculators and computers, are a focus of investigations and discussion throughout the course. A weekly lab component is required. Prerequisite: Placement into college-level mathematics without support.

Completes the two course sequence that begins with MTH 130 and focuses on mathematical reasoning and the solving of real-life problems, rather than on routine skills. The following topics will be studied in depth: geometry, counting techniques and probability, logic and statistics. Students are expected to be active participants in the learning process. Calculators and computers will be used throughout the course. A weekly lab component is required. IAI M1 903 Prerequisite: MTH 130 with a grade of C or better.

Designed specifically for students in business and the social sciences and does not count toward a major or minor in mathematics. Emphasizes applications of the basic concepts of calculus rather than proofs. Include limits; techniques of differentiation applied to polynomial, rational, exponential, and logarithmic functions; partial derivatives and applications; maxima and minima of functions; and elementary techniques of integration including substitution and integration by parts. Business and social science applications are stressed throughout the course. IAI M1 900-B Prerequisite: MTH 103 with a grade of C or better, or other placement options.

Builds on MTH 103 to provide the foundation for calculus and analytic geometry. Topics include but are not limited to radical and rational equations; equations quadratic in form; polynomial and rational functions; polynomial and rational inequalities; sequences and series; mathematical induction; the binomial theorem; trigonometric functions; inverse trigonometric functions; applications of trigonometric functions; polar coordinates and vectors; and the complex plane. Prerequisite: MTH 103 with a grade of C or better, or other placement options.

Focuses on statistical reasoning and the solving of problems using real world data rather than on computational skills. The use of technology-based computations (more advanced than a basic scientific calculator, such as graphing calculators with a statistical package, spreadsheets or statistical computing software) is required with an emphasis on interpretation and evaluation of statistical results. Topics must include data collection processes (observational studies, experimental design, sampling techniques, bias), descriptive methods using quantitative and qualitative data, bivariate data, correlation, and least squares regression, basic probability theory, probability distributions (normal distributions and normal curve, binomial distribution), confidence intervals and hypothesis tests using p-values. (Credit will be given for either MTH 162 or MTH 165 or MTH 225, but not for more than one of these courses.) IAI M1 902 Prerequisite: Placement into college-level mathematics without support.

Studies limits, continuity, derivatives, antiderivatives and definite integrals as they relate to algebraic, trigonometric, inverse trigonometric, logarithmic and exponential functions. Includes applications to geometry, science and engineering. IAI M1 900-1, MTH 901 Prerequisite: MTH 140 with a grade of C or better or other placement options.

Continues MTH 200. Studies differentiation of transcendental functions, techniques of integration, series, conics, polar coordinates and parametric equations with applications to science and engineering. IAI M1 900-2, MTH 902 Prerequisite: MTH 200 with a grade of C or better, or other placement options.

Continues MTH 201. Studies three-dimensional vectors, solid analytic geometry, vector-valued functions, partial derivatives, multiple integrals, Green's theorem, surface integrals, divergence theorem, and Stokes' theorem. IAI M1 900-3, MTH 903 Prerequisite: MTH 201 with a grade of C or better, or other placement options.

Introduces matrices, vector spaces, linear transformations. Serves as a first exposure to abstract mathematical structures. Includes matrices and their operations, determinants, solutions of systems of linear equations, Euclidean and general vector spaces, bases and dimension, linear transformations and their associated subspaces, eigenvalues, eigenvectors. Discusses applications to mathematics, computer graphics, and physical sciences. IAI MTH 911 Prerequisite: MTH 201 with a grade of C or better.

Continues MTH 201. Covers first order differential equations, including first order initial value problems, existence and uniqueness of solutions, direction fields, basic numerical methods, separable equations, homogeneous equations, exact equations, linear equations, Bernoulli’s equations, and applications. Covers second order and higher order differential equations, including higher order initial value problems, two-point boundary value problems, linear independence, the general solution of homogeneous and non-homogeneous linear equations, the method of undetermined coefficients, variation of parameters, Cauchy-Euler equations, and applications to physical systems. Covers solutions of initial value problems using Laplace transforms, including the definition and properties of the Laplace transform, inverse transforms, convolution, unit step functions, and applications. Also covers systems of differential equations solved using matrix methods, including eigenvalues and eigenvectors. IAI MTH 912 Prerequisite: MTH 201 with a grade of C or better.

Introduces analysis of finite collections and mathematical foundations of sequential machines, computer system design, data structures and algorithms. Includes sets and logic, sequences and subscripts, number systems, counting, recursion, graph theory, trees, finite probability, matrices and Boolean algebra. IAI M1 905, CS 915 Prerequisite: MTH 103 with a grade of C or better, or other placement options.

Focuses on the use of statistical concepts as decision-making tools with an emphasis on business-related applications. Topics include descriptive statistics, probablity theory, and inferential methods including chi-square tests, regression analysis and ANOVA. This course is strongly recommended for business majors. (Credit will be given for either MTH 225 or MTH 165 or MTH 162 or MGT 225,) IAI M1 902, BUS 901 Prerequisite: MTH 103 with a grade of C or better, or other placement options including registration in MTH 124, MTH 134, MTH 140, MTH 200 or higher.