MATH205 Differential Calculus
MATH 205 begins with the concept of limits, including one-sided and limits involving infinity, and relates limits to the concept of continuity. The tangent line to a graph at a point leads to the definition of derivative and the rules of differentiation for both explicit and implicit functions, including polynomial, rational, trigonometric, logarithmic and exponential functions. Applications of the derivative include related rates, curve sketching, optimization problems and l’Hôpital’s Rule. Basic rules for integration are introduced, including the method of substitution. The definite integral is then applied to finding the area under and between curves. A graphing calculator or equivalent technology is required.
Corequisite
None
Distribution
General Education for Computer Science & Engineering