Students learn fundamental algebraic concepts and skills that are essential for advanced study in mathematics and the sciences. Students solve linear and nonlinear equations, inequalities, and systems of equations. Students will simplify algebraic expressions and graph functions including rational, exponential, and logarithmic functions. Graphs of these functions are sketched, trigonometric identities are proved, complex numbers are explored and polar equations are graphed.
Students acquire algebraic and trigonometric competencies essential to the study of calculus.
Algebraic, trigonometric, exponential and logarithmic functions are graphed and used in applications. Students also solve linear and nonlinear equations and inequalities, systems of equations and inequalities, and apply sequences and series with facility. Students become proficient in problem solving techniques using the basic notions of limits, derivatives, and integrals. Students explore the principles of inductive and deductive reasoning to make and test conjectures, formulate counter examples, follow logical arguments, judge the validity of arguments, and construct simple valid arguments. Students select and use problem solving techniques, identify and use related knowledge, monitor and evaluate their own skills in solving problems, solve problems in cooperative learning situations, and find appropriate solutions to a variety of problems.