# 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.