Apply the theorem relating the derivatives of inverse functions.Find the derivative of a function using differentiation rules.Define, discuss, and interpret the concept of the derivative algebraically, verbally, numerically, and graphically.Test the hypothesis and, where appropriate, apply the conclusion of the Intermediate Value Theorem for a function on a given interval.Determine the continuity of functions algebraically and graphically.Use limits to describe asymptotic behavior.Identify and find indeterminate limits, when they exist, using appropriate tools, e.g.Find limits algebraically, graphically, and numerically.Understand the relationship between inverse functions.Understand and use function notation in tabular, graphic, algebraic, and applied settings.Recognize algebraic and transcendental functions in various forms. ![]() Topical Outline with Specific Course Objectives
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