This course is the calculus of one variable, beginning with an intuitive study of limits and a geometric interpretation of the derivative. Topics include differentiation of functions and the application of the derivative to graphing functions, approximating functions, solving max/min problems and related rate problems, anti-differentiation and its link to the signed area under a curve, the fundamental theorem of calculus and applications of the definite integral.
A continuation of the study of calculus as applied to science, business, technology and social science. The integral will be further studied, including applications of area, volume, accumulation functions, curvilinear motion, and solutions to some simple differential equations and other applications chosen from a variety of disciplines. Students will examine sequences and series involving convergence and divergence, power series and Taylor polynomials and series.
A study of calculus with an emphasis on its applications to science, business, technology and social science. Topics covered using the derivatives consist of functions and their graphs, max/min problems, related rates, approximation of change and curvilinear motion. Topics covered using the integral consist of area, volume and accumulation functions. Graphing calculators and mathematical software will be introduced and used throughout the course.
This course includes a study of circular and trigonometric functions, trigonometric identities, equations and graphs, vectors, logarithms, complex numbers, functions and inverse functions and related topics.
This course is an introduction to statistics with appropriate applications. Topics covered include descriptive statistics, probability, binomial distribution, normal distribution, sampling, hypothesis testing and regression and correlation. A problem-solving approach and modern software will be used.
This course includes a review of real numbers, complex numbers, algebraic expressions, equations and inequalities, functions and inverse functions graphing, systems of equations, exponents and radicals, exponential functions, logarithms, and conic sections.
This introductory survey course is specifically developed to fulfill the General Studies requirements in mathematics. It is designed to strengthen computational skills while focusing on real-world problems. Topics may include critical thinking skills, sequences, set theory, logic, probability, statistics, consumer mathematics and the metric system. This course does not serve as a pre-requisite for any higher level mathematics course. Students must enroll in a 2 hour graded support course in addition to the 3 hour math course unless they meet the pre-requisites below.
This course is an introduction to fundamental mechanics and techniques for performing operations with algebraic expressions, and subsequently solving linear equations, systems of linear equations and quadratic equations. The course also introduces trigonometric functions and is designed to develop methods of solving right angles and oblique triangles using trigonometry. Students must enroll in a 2 hour graded support course in addition to the 3 hour math course unless they meet the pre-requisites below.