Precalculus With Trigonometry includes all the topics of Trigonometry (3150) and an in-depth treatment of functions through the study of polynomials, transformations, rational, exponential, and logarithmic functions, inverses, polar equations, parametric equations, two-dimensional vectors, and selected topics in discrete mathematics. The course also includes the study of limits, continuity, maximum and minimum points and values, definition and properties of the derivative, rules of differentiation, equations of tangent lines to polynomial functions, infinite limits, and partial fractions. A transformational approach to graphing is used with families of related graphs. Numerical, graphical, and algebraic solutions should be considered for all problems, where appropriate. Graphing utilities, especially graphing calculators, are integral to the course.
Indicators marked with an asterisk * relate directly to the Virginia Standards of Learning for Trigonometry or Mathematical Analysis. All Virginia Standards of Learning for Trigonometry and for Mathematical Analysis are addressed in this course.