AutoDesk Inventor - Along with Solidworks, one of the top 3D solid modeling software packages. Autodesk Education offers free downloads for educational use. Inventor is widely available on CLC's Grayslake campus computer labs and LRC. Autodesk University tutorials are a useful starting point for beginners.
Revit - 3D modeling for architects. See AutoDesk University tutorials for Revit.
Solidworks - Along with Inventor, one of the top 3D solid modeling software packages. See Solidworks Learning Resources.
123Design - from AutoDesk, "123D Design is a free, powerful, yet simple 3D creation and editing tool which supports many new 3D printers."
Blender - "Blender is the free and open source 3D creation suite. It supports the entirety of the 3D pipeline—modeling, rigging, animation, simulation, rendering, compositing and motion tracking, even video editing and game creation."
Sketchup Make - "The easy, fun, and free way to draw in 3D."
Tinker Cad - "Tinkercad is a simple, online 3D design and 3D printing app for everyone."
AutoCAD - Common in schools, 2D AutoCAD is a powerful, but somewhat complicated 2D (and 3D) CAD application.
Corel - "Create logos, newsletters, photo projects or social media content." Used to create files for laser cutting.
3D Printer OS - Slicing and queuing software used for Dremels in the lab. Visit the 3DPrinterOS YouTube channel for some learning resources. More are promised soon from Dremel.
Simplify 3D - A powerful 3D slicing and printing software used for speciality printers like the Lulzbot.
Thingaverse - "...a thriving design community for discovering, making, and sharing 3D printable things." You can search from thousands of 3D models to download and print.