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Contemporary civilization has been profoundly influenced by the enduring legacy of reciprocal stimulation and advancement between Mathematics and the Sciences. Within this framework, the Department of Applied Mathematics provides graduate students with specialized study options in Control Theory and Dynamical Systems, Fluid Mechanics, Mathematical Medicine and Biology, Mathematical Physics, and Scientific Computation. Student research initiatives incorporate state-of-the-art implementations of mathematical principles across diverse scientific disciplines, both fundamental and applied. These implementations encompass areas such as optimizing cancer treatments, manipulating shape memory alloys, processing fractal imagery, advancing quantum computing, and investigating climate patterns, cosmic inflation theories, and nanoscale technologies. As one of five departments forming the Faculty of Mathematics at the University of Waterloo - ranked 20th globally for mathematics in the 2015 QS University Rankings - our graduate students enjoy strong collaborations with the Faculties of Science and Engineering, along with various specialized institutes focusing on mathematical medicine, theoretical neuroscience, quantum research, theoretical physics, nanotechnology, water resources, and industrial mathematics. The department provides both Master's and doctoral programs. Our research-intensive Master of Mathematics (MMath) typically requires two years, with graduates either continuing to PhD studies or securing prominent roles in industry and government. The PhD program generally spans four years, with most alumni securing academic research positions while others join industrial, governmental, or commercial research teams.
The intersection of mathematics and medical science represents a dynamic frontier in Applied Mathematics research. Our department plays an active role in developing mathematical frameworks for disease progression, analyzing intricate biological system interactions. This work serves dual purposes: enhancing comprehension of disease origins and development patterns, while simultaneously evaluating treatment methodologies to determine optimal therapeutic approaches for specific conditions.