# 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.