The design of this course is to develop the subject of differential calculus. Topics include functions, limits, derivatives and differentiation rules.
Topics Covered In Course
MTH204 Topics
Function representations, vertical line test, increasing and decreasing functions, linear models, power functions, rational functions, algebraic functions, trigonometric functions
Tangent and velocity problem, limit of a function, calculating limits using Limit Laws
Definition of continuity, The Intermediate Value Theorem, Derivatives and rates of change, Derivative as a function, Notations for derivative
Derivatives of polynomials and exponential functions, The Product and Quotient Rules, The Chain Rule, Implicit differentiation
Review of all objectives covered in class
Prerequisites
Completion of both the MTH105: College Algebra, MTH201: Precalculus or an equivalent course in Math.
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