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Recitations' Schedule

Week Jan 22-26

Graph the following functions indicating their zeros and their horizontal and vertical asymptotes, if any.

Commands:

plot, f := x ->, denom, numer, solve, fsolve, factor, simplify, expand, limit, evalf

                                      4      2
                                   2 x  - 2 x  + x + 5
                         f(x) =    -------------------
                                        2
                                       x  - 3 x - 5



                                           5    4
                                          x  - x
                 g(x) =    ------------------------------------
                            5      4      3       2
                           x  - 6 x  + 5 x  + 26 x  - 48 x + 18

Explore the following functions. Accurately locate any maximum and minimum values and points of inflection, and draw a careful sketch of the function.

Commands:

diff, int, limit, plot, simplify, fsolve, numer, denom, taylor.
                                               1/3
                                        (1 - x)
                              F(x) =   ----------
                                               2
                                          1 + x

Week Jan 29- Feb 2

Ploting with Maple

Week Feb 5-9

Preparation for Exam 1 (Mon. and Wed.) and Exam solutions on Friday

Week Feb 12-16

Exercises on limits, derivatives and integrals of vector valued functions.
Problem: Find the equation of the tangent line to a parametric curve at a given value of the parameter. Example using maple: tangent line to the lemniscate.