Its a Dell Wireless 1705 Wireless Card made by Atheros. You can get the latest driver for Windows 7 here:

http://downloads.dell.com/FOLDER01865751M/3/Network_Driver_Dell_A01_W732W764-SETUP_ZPE.exe

Or for Windows 8.1 here:

http://downloads.dell.com/FOLDER02227589M/1/3340_Network_Driver_XVXC6_WN_10.0.0.320_A00.EXE

Hello,

Here is a link to the Support Pages and Drivers for the Inspiron 3542 laptop.  You should find the drivers you need under the Network category.

Thank you,

Todd