Calculus

This course covers functions, graphs, concepts and skills of limits, differentials, definite and indefinite integrals, and the Fundamental Theorem of Calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections among these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions. Prerequisite knowledge for the course is the study of algebra, geometry, trigonometry, analytic geometry, and elementary functions. These functions include linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise- defined functions. Students must be familiar with the properties of functions, the algebra of functions, and the graphs of functions. They must also understand the language of functions (domain and range, odd and even, periodic, symmetry, zeroes, asymptotes, and intercepts).