First, up, open the Render Settings window from Window --> Rendering Editors. You should see this:
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1.) Render using. Make sure this pulldown menu is set to Maya Software.
2.) File name prefix. This is where you'll enter a name for your rendered images. Preferably, use "yourName_final" or something like that.
3.) Frame / Animation ext is what defines how the images are named, if they are a still or an animated image sequence. Basically, if you're making a still image, just use name.ext [Single Frame], and if you're rendering an image sequence use name.#.ext.
4.) Image Format. Use PNG, Targa, or Tiff. DO NOT use Maya IFF (almost nothing besides Maya can read this file type).
5.) Set your Start Frame / End Frame to the frames you want your animation to start / finish playing on. If you are using name.ext [Single Frame] from #3, this area will be grayed out and only the current frame will be rendered.
6.) Frame Padding determines how many leading zeros will be added to your file name's frame number. Just set this to 3 or 4. DO NOT leave it at 1 (the default).
7.) Renderable Camera. If you have created a second camera (besides the default, persp) from which you intend to render your scene you will need to set it here. Don't forget this one!
8.) Image Size presets. This is the frame size of your image. You can enter a custom size below, but I'd suggest sticking to the presets. I will be compiling our show reel at HD 720, so if you are doing animation that's probably a good size.
9.) Path / File Name preview. This area, near the top of the Render Settings window, will show you a preview of where your images will be saved and what they will be called. Double check this for errors before you render! Also, you can't change the path where they are rendered yet -- we haven't covered that aspect of the software in our class.
With those Common settings ready, move over to the Maya Software tab (#10):
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Once all of that is set, change to your Rendering menu set from the pulldown at the top left of your main Maya window and find the Render menu. Locate Batch Render there and click it.
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Maya will chug away for a while (progress updates will appear in your Status Line at the bottom right of the Maya window) and produce your desired image / image sequence at the path determined in point #9 above. To assemble them into a movie file, you'll need a copy of Quicktime Pro (or Premier, Final Cut Pro, After Effects, etc. -- but I'm only writing instructions for Quicktime), which is installed on all our lab computers.
In Quicktime, go to File --> Open Image Sequence... and select the first image (probably called something like Jed_final.0001.tga) of your rendered sequence. Also change the Frame Rate to 24fps (which is what all of your Maya projects should be set to), and hit OK. Quicktime will import all your frames and assemble them into a movie. Play it to see if it looks how you want it to. If it doesn't, fix the problems in Maya, re-render, and repeat this assembly process in Quicktime with the fixed image sequence.
You have one final step. With a completed movie in Quicktime, you need to export it as a standalone movie. Go to File --> Export... Here you'll need to set a few things. First, make sure you're exporting as a Movie to Quicktime Movie:
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Email that movie file, your Maya scene file (or several, if you are using referencing), and your texture files to me before noon tomorrow to make it into the final showing reel. If you are just making still images, simply attach those instead of a movie file to your email. If the files are too large for a single email, feel free to send me several!