Time lines are used to help visualize what is happening in time value of money problems. Cash flows are placed directly below the tick marks, and interest rates are shown directly above the time line; unknown cash flows are indicated by a symbol for the particular item that is missing.
This page explains how you can apply a patch file. Patch is a standard format, and there are many options for how to apply one. Pick the one that is easiest for you. Perhaps most critical is the usage of the -p flag, which tells patch about the relationship between the directory where the patch file is located and the files that will be patched.
A batch file is a text file that contains a sequence of commands for a computer operating system. It's called a batch file because it batches (bundles or packages) into a single file a set of commands that would otherwise have to be presented to the system interactively from a keyboard one at a time. A batch file is usually created for command sequences for which a user has a repeated need.