This course is an introduction to the concepts of differential calculus. Topics include the calculation of limits and the differentiation of functions including trigonometric, inverse trigonometric, exponential, logarithmic functions, chain rule, and implicit differentiation. Further topics include Rolle’s theorem, the mean value theorem, differentials, antiderivatives, partial differentiation, as well as the application of differentiation to related rates, maxima and minima, curve sketching, Newton’s method. Emphasis on applications is provided for all topics.
Other Prerequisites: One of Math 100, MATH 105, MATH 110, "C+" or higher in Principles of Mathematics 12, "C+" or higher in Pre-calculus 12, or C+ or higher in MATH 050; alternatively, completion of the Calculus Readiness Assessment.
Lecture Hours: 45
Lab Hours: 15