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The Department provides stimulating and rigorous programs for both MMath and PhD degrees. Students can choose from a diverse selection of courses spanning all areas of pure mathematics, with the option to enroll in relevant courses from other university departments. Each graduate student receives personalized guidance from their supervisor to develop a research paper or thesis for their master's degree, while PhD candidates are mentored through original research projects. Comprehensive financial assistance is available, including teaching and research assistantships along with internal scholarships. Waterloo's affordable living costs make it an attractive location for study. Programs are customized to align with each student's academic goals and interests. Our alumni frequently pursue careers as university mathematics professors, while others use their advanced mathematical training as a springboard for applied fields. Graduates also find success in computer science, secondary or college education, and various business sectors, especially finance. Pure Mathematics graduates consistently secure intellectually fulfilling positions.
Analysis, a fundamental mathematical discipline, originated from concepts of approximation, limits, and continuity in real and complex functions. Though the fundamental theorem of calculus remains a cornerstone of mathematics, contemporary analysis explores these principles in more generalized contexts, including topological groups and algebraic structures.