An introduction to the role of mathematics as a modeling tool. This course is intended for freshman and sophomore level students who have had calculus and want to explore mathematical tools to model real-world problems from the natural and social sciences. Applications will be chosen to illustrate various modeling paradigms such as deterministic, probabilistic, discrete, and continuous modeling and may include examples from population dynamics, biomedical applications, physics, political science, and economics. This course integrates much of undergraduate mathematics in an applied setting and is designed to inspire interest in further mathematics courses.