math 101 introduction into calculas
Spring 2021
Mechanics 256
Compute various types of limits of functions of one variable.
2. Determine the region of continuity and types of discontinuity of a function
3. Compute the slope of the tangent line at a point.
4. Calculate derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential, logarithmic,
hyperbolic, piece-wise and related functions.
5. Find extreme values, regions of monotonicity and concavity, asymptotes of a function of one variable
6. Apply derivatives in estimating errors, approximating roots of equations via Newton’s method and in solving
optimization problems.
7. Recover some basic functions from their derivatives