Have a look at Lineweaver
Inflation and the CMB
http://arxiv.org/abs/astro-ph/0305179
it has equations, but they are easy equations
the graphs and figures are really helpful.
a lot of things are explained in a clear mathematical way without the math being especially hard
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start playing around with the java cosmology calculators at Ned Wright's site and also
the one at Morgan's site that converts redshift to recession speed.
http://www.uni.edu/morgans/ajjar/Cosmology/cosmos.html
when you start with it, put in three standard parameters
matter density 0.27
Lambda density 0.73
Hubble parameter 71
To find Ned Wright's cosmology calculators, just google Ned Wright
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Here is a basic SciAm cosmoogy article by Lineweaver NOT technical (so not what you asked for) but valuable anyway
Misconceptions about the Big Bang.
http://www.astro.princeton.edu/~aes/AST105/Readings/misconceptionsBigBang.pdf
Here are the class materials links for a Princeton General Astronomy course, see if anything there is useful
http://www.astro.princeton.edu/~aes/AST105/syllabus.notes.html
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FOR GENERAL RELATIVITY there is Sean Carroll's online textbook at the LivingReviews site. I can't personally recommend but people do use it as a textbook and he's a talented expository writer.
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this is just a start. Other people will have other suggestions, I hope. I'll be interested to see what the others recommend.