Upon successful completion of the course, students will be able to: apply geometry and trig basics for use throughout the course: to use the unit circle for all trigonometric equations and graphs; to understand in order to use real number system for solving equations and inequalities; to work with algebraic expressions: monomials; to work with algebraic expressions: polynomials; to use algebraic rational expressions, including trig identities; to work with complex numbers;  differentiate and apply concept of function vs relations; find equations and graph linear functions; establish symmetries in a graph; recognize equations and graph conic sections; use quadratic formula; recognize and use language related to functions; perform operations with functions; graph equations containing radicals and trig functions; apply  the concept of inverse function;  work with logarithmic and exponential functions and their graphs; graph rational, absolute value and piece-wise defined functions; apply the concept of function, to solve all types of equations and to graph linear, trigonometric, logarithmic, exponential and rational equations as well as conic sections.