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This is a new revision 1.2 (April 2020) that includes significantly more material on parameter fitting and Bayesian inference. A higher-quality COLOR print copy and PDF version is also available from https://gumroad.com/products/lGuibEComputer models of biochemical systems are starting to play an increasingly important role in modern systems and synthetic biology. This monograph introduces students to some of the essential topics in biochemical modeling using differential equations and stochastic models. The book includes many hands-on modeling exercises using Python and examples that illustrate many important concepts, including the stoichiometric networks, building models, running simulations, model fitting, the stability of systems, and multicompartment systems.