Description
This course prepares students for upper level math and science courses. Topics covered include evaluating limits; determining the continuity of early transcdental, algebraic, trigonometric, logarithmic and exponential functions; using the differentiantion rules to find, use and explain the derivatives of functions; determining and explaining the meaning of the slope and the equation of a tangent line for a point on the graph of a function or relations; using implicit differentiation; using first and second derivatives, function extrema, limit evaluations, and continuity tests to sketch and analyze graphs of functions; using related rates to solve real worl problems in many fields of study; solving varialbe optimization problems; evaluating definite and indefinte integrals using basic integration techniques.
Prerequisites: MATH 163 completed with a grade of "C" or better, or an acceptable score on the departmental test-out. May be taken simultaneously with maht 163 with permission.