MAT – Math

Adding and subtracting fractions and mixed numbers; multiplying and dividing fractions and mixed numbers; operations with decimals; percent; adding, subtracting, multiplying, and dividing real numbers; exponents, order of operations, combining like terms; solving linear equations including applied problems; graphing linear equations including finding the slope of a line; using rules of exponents, fundamental polynomial operations and scientific notation.

Intended for health technology students and others with the need to use mathematics in the solution of pharmacological problems. Topics include a review of basic arithmetic skills and systems of measurement. Problems related to dosage calculations include oral, parenteral, and intravenous, as well as specialized calculations.

For health technology students and others with the need to use mathematics in the solution of pharmacological problems. This course can be used as a review course for students planning to enter a nursing program. Problems related to dosage calculations are incorporated, utilizing both the metric and apothecaries’ systems.

Percent, base and percentage; sales and property tax; payroll; simple and compound interest; amortization; annuities and sinking funds; trade and cash discounts; markup and markdown; the metric system; applications using spreadsheet software.

Descriptive statistics: graphing, histograms, frequency distributions. Measures of central tendency: mean, median, mode. Measures of variation: standard deviation, variance, coefficient of variation. Probability of events: simple, compound, independent, mutually exclusive. Study of distributions: probability, binomial, normal and sampling. Chebyshev’s Theorem, Empirical Rule, Central Limit Theorem, estimation, hypothesis testing, correlation and regression.

Algebraic expressions and operations, ratio, and proportion; direct, inverse, and joint variation; measurement in the metric system and the U.S. Customary system; basic geometry; trigonometry of the right triangle; factoring; solving linear and quadratic equations in one or more variables; and oblique triangles including law of sines and cosines.

A survey course in Mathematics designed to improve problem solving, critical thinking, and quantitative reasoning skills. While this course is designed for students not intending to continue on to higher-level mathematics courses, the course does examine diverse applications of contemporary mathematics and provides an understanding of the role of mathematics in society and daily life. This understanding is accomplished by studying selected topics from set theory, number theory, algebra, math of finance, and probability.

Linear, polynomial, rational, radical, inverse, exponential, logarithmic, composite, and piece-wise defined functions, their graphs, properties, symmetries, and applications, complex numbers, real roots of polynomial functions, conic sections, systems of linear equations in 2 variables, 3 variables, matrices, and linear and quadratic curves of best fit.

Linear, polynomial, rational, radical, inverse, exponential, logarithmic, composite, and piece-wise defined functions, their graphs, properties, symmetries, and applications, complex numbers, real roots of polynomial functions, conic sections, systems of linear equations in 2 variables, 3 variables, matrices, and linear and quadratic curves of best fit.

Analyzing functions, studying their representation verbally, numerically, graphically, and algebraically, as well as performing operations, translations and dilations. Students will express angles in both degrees and radians; solve right and oblique triangles including applications; solve trigonometric equations including applications; graph trigonometric functions utilizing amplitude, period, and displacement; algebraically use trigonometric identities; analyze vectors including polar and rectangular coordinates and graphing; solve vector equations; graph complex numbers in rectangular and polar form, as well as performing operations; and, apply DeMoivre’s Theorem.

Linear, polynomial, rational, radical, inverse, exponential, logarithmic, composite, piece-wise defined functions, trigonometric, and inverse trigonometric functions, their graphs, properties, symmetries, and applications; real roots of polynomial functions; angles in both degrees and radians; right and oblique triangles and applications; trigonometric equations and applications; graphs of trigonometric functions utilizing amplitude, period, and displacement; trigonometric identities; vector operations; polar and rectangular coordinates; vector equations; conic sections, systems of linear equations in 2 and 3 variables; matrix operations; matrix methods of solving systems of equations; sequences; series.

Introduction to differential calculus with a strong focus on applications in a business environment; limits, continuity; differentiation; curve sketching; extrema.

Introduction to integral calculus with a strong focus on applications in a business environment; definite and indefinite integrals; average value; area between curves; improper integrals; functions of several variables; partial derivatives; optimization; Lagrange multipliers.

Introduction to differential calculus; limits, continuity, explicit and implicit differentiation of algebraic functions with applications; curve sketching; related rates and optimization applications; linear approximation using differentials; Mean Value Theorem and L’Hôpital’s Rule; introduction to integral calculus; antiderivatives, definite and indefinite integrals; areas; Fundamental Theorem of Calculus; integration by substitution.

Integral calculus; application to arc length, area, and volumes of solids of revolution; integration techniques including integration by parts, trig substitution, and partial fraction decomposition; L’Hôpital’s Rule; improper integrals; differential equations; sequences/series and their convergence; Taylor polynomials; conics and parametric equations; polar coordinates; vectors in the plane and space.

Vector valued functions, parameterized curves and surfaces, differentiation of functions of several variables, optimization, integration of functions of two and three variables, line integrals, flux integrals, and calculus of vector fields.

Study of vectors, systems of linear equations and matrices, vector spaces, linear transformations, and eigenvalue problems, with both proofs of concepts and applications.

Solving first-order differential equations that are separable, linear, or exact; solving first-order differential equations using substitutions; applications of first-order linear and nonlinear differential equations; slope fields and solution curves; numerical methods; solving higher-order differential equations with the method of reduction of order, constant coefficients, undetermined coefficients, and variation of parameters; applications of higher-order differential equations; power series solutions; Laplace transformations.

Study of the foundations of formal mathematics, including propositional logic, the nature of proof, sets and functions, structure of the number system, and an introduction to algebraic structures, algorithms, the growth function, and counting principles.