# STAT 327 Group work on Optimization Please write the names and email addresses of your group members. Here's an example: * Name / email (@wisc.edu only): John Gillett / jgillett@wisc.edu * Name / email (@wisc.edu only): ... * Name / email (@wisc.edu only): ... * Name / email (@wisc.edu only): ... * Name / email (@wisc.edu only): ... * Name / email (@wisc.edu only): ... * Name / email (@wisc.edu only): ... # Part 1: One-dimensional optimization Graph the object's altitude vs. time. ```{r} ``` Find the time at which the object strikes the ground. ```{r} ``` Find the object's maximum height. ```{r} ``` Find the time at which the object reaches its maximum height. ```{r} ``` # Part 2: Multi-dimensional optimization Implement `gradient.descent()`. ```{r} ``` Graph the concentration. Use `gradient.descent()` to find the peak. Use `optim()` with `method=Nelder-Mead` to find the peak. Use `optim()` with `method=BFGS` to find the peak. How many calls did `optim()` make in each case? Which method would you expect to be faster?