Textbook covering calculus and probability theory
In a course similiar to yours at the Radboud University Nijmegen, the Netherlands, they use two different lecture notes (in Dutch) and each set of notes recommends a book. 

For probability theory, they recommend the following book:


Murray R. Spiegel, John J. Schiller, R. A. Srinivasan: (Schaum’s Outline of Theory and Problems of) Probability and Statistics. McGraw-Hill
Companies, 2000, 408 p., ISBN: 0071350047.