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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.
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Textbooks to use as reference for standard calculus and probability topics
Perhaps The How and Why of One Variable Calculus by A. Sasane, published by Wiley (see link below)?
http://eu.wiley.com/WileyCDA/WileyTitle/productCd-1119043387.html