Upon successful completion of the course, students will be able to: identify continuities and discontinuities in functions and graphs; define and apply the Intermediate Value Theorem; determine the limits of functions and use a graph to define limits; summarize the formal definition of a derivative and appraise graphical representations of derivatives; calculate derivatives of trigonometric functions, polynomial equations, and exponential equations; calculate higher order derivatives; use Newton's Method to find roots of equations; define the Fundamental Theorem of Calculus; calculate integrals of trigonometric and exponential functions; and solve integrals using substitution and trigonometric substitution.