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.

Prerequisite

MATH112; MATH116 or CSET Approval

Corequisite

None

Credits

5

Distribution

General Education for Computer Science & Engineering

Notes

Not available online.