Mathematics - CPS Specialty (MATM)

MATM 1001. College Algebra 1. 3 Hours.

Includes solving and graphing equations and inequalities, exponents, roots, complex numbers, conic sections, linear functions, and quadratic functions. Requires students to purchase a graphing calculator, the make and model to be specified at the first class meeting.

MATM 1050. Calculus. 3 Hours.

Introduces basic concepts and techniques of differentiation and integration and applies them to polynomial, exponential, log, and trigonometric functions. Emphasizes the derivative as rate of change and integral as accumulator.

MATM 1120. Precalculus. 4 Hours.

Focuses on linear, polynomial, exponential, logarithmic, and trigonometric functions. Emphasis is placed on understanding, manipulating, and graphing these basic functions, their inverses and compositions, and using them to model real-world situations (that is, exponential growth and decay, periodic phenomena). Equations involving these functions are solved using appropriate techniques. Special consideration is given to choosing reasonable functions to fit numerical data.

MATM 1231. Calculus 1 for Business and Economics. 4 Hours.

Provides an overview of differential calculus including derivatives of power; exponential, logarithmic, logistic functions; and functions built from these. Derivatives are used to model rates of change, to estimate change, to optimize functions, and in marginal analysis. The integral calculus is applied to accumulation functions and future value. Emphasizes realistic business and economics problems, the development of mathematical models from raw business data, and the translation of mathematical results into verbal expression appropriate for the business setting. Also features a semester-long marketing project in which students gather raw data, model it, and use calculus to make business decisions; each student is responsible for a ten-minute presentation.

MATM 1241. Calculus 1. 4 Hours.

Serves as both the first half of a two-semester calculus sequence and as a self-contained one-semester course in differential and integral calculus. Introduces basic concepts and techniques of differentiation and integration and applies them to polynomial, exponential, log, and trigonometric functions. Emphasizes the derivative as rate of change and integral as accumulator. Applications include optimization, growth and decay, area, volume, and motion.

MATM 1242. Calculus 2. 4 Hours.

Introduces additional techniques of integration and numerical approximations of integrals and the use of integral tables; further applications of integrals. Also introduces differential equations and slope fields, and elementary solutions. Introduces functions of several variables, partial derivatives, and multiple integrals.

MATM 1341. Calculus 1 for Science and Engineering. 4 Hours.

Covers definition, calculation, and major uses of the derivative, as well as an introduction to integration. Topics include limits; the derivative as a limit; rules for differentiation; and formulas for the derivatives of algebraic, trigonometric, and exponential/logarithmic functions. Also discusses applications of derivatives to motion, density, optimization, linear approximations, and related rates. Topics on integration include the definition of the integral as a limit of sums, antidifferentiation, the fundamental theorem of calculus, and integration by substitution.

MATM 1342. Calculus 2 for Science and Engineering. 4 Hours.

Covers further techniques and applications of integration, infinite series, and introduction to vectors. Topics include integration by parts; numerical integration; improper integrals; separable differential equations; and areas, volumes, and work as integrals. Also discusses convergence of sequences and series of numbers, power series representations and approximations, 3D coordinates, parameterizations, vectors and dot products, tangent and normal vectors, velocity, and acceleration in space.

MATM 1410. Fundamentals of Statistics. 3 Hours.

Introduces statistical thinking to students without using any sophisticated mathematics. Uses extensive class discussion and homework problems to cover statistical reasoning and to evaluate critically the usage of statistics by others. Readings from a wide variety of sources are assigned. Topics include descriptive statistics, sampling theory, and fundamentals of statistical inference (confidence intervals and hypothesis testing).