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Our institution provides both Master's and doctoral degree programs. The thesis-focused Master of Mathematics (MMath) typically requires two years to finish. Numerous alumni from this program continue their academic journey by pursuing PhDs, while others secure fulfilling roles in corporate or public sectors. The doctoral program usually spans four years, with most graduates securing positions in academic research. Some PhD recipients embark on careers in industrial, governmental, or commercial research and development. Following this tradition, our Department of Applied Mathematics enables graduate students to specialize in Control Theory and Dynamical Systems, Fluid Mechanics, Mathematical Medicine and Biology, Mathematical Physics, and Scientific Computation. Student research initiatives incorporate advanced applications of mathematical theory across diverse fundamental and applied sciences, such as optimizing cancer treatments, manipulating shape memory alloys, processing fractal images, developing quantum computers, and investigating climate patterns, cosmic inflation, and nanotechnology. As part of the University of Waterloo's Faculty of Mathematics - ranked 20th globally in the 2015 QS University Rankings for mathematics - our department maintains strong collaborations with the Faculties of Science and Engineering, the Centre for Mathematical Medicine, the Centre for Theoretical Neuroscience, the Institute for Quantum Computing, the Perimeter Institute for Theoretical Physics, the Waterloo Institute for Nanotechnology, the Water Institute, and the Centre for Computational Mathematics in Industry and Commerce, providing exceptional opportunities for our graduate students.