Combinatorics and Optimization

The Bachelor of Mathematics in Combinatorics and Optimization at the University of Waterloo is a comprehensive undergraduate program designed to provide students with a strong foundation in the principles and techniques of combinatorial mathematics, optimization theory, and their numerous applications. This program aims to develop critical thinking, analytical skills, and problem-solving abilities necessary for tackling complex mathematical challenges across various fields. Students will engage with a diverse curriculum that covers topics such as graph theory, algorithms, discrete mathematics, integer programming, network flows, and probabilistic methods, preparing them for careers in academia, industry, or government agencies. The program also emphasizes the importance of computational skills and offers coursework that integrates computer science with mathematical modeling, enabling students to implement algorithms and solutions efficiently. Throughout their studies, students have opportunities to participate in research projects, internships, and collaborative work, fostering a deeper understanding of theoretical concepts and their practical applications. The program is tailored to accommodate students with varying interests, whether they wish to pursue advanced studies or enter the workforce directly after graduation. Graduates of the Combinatorics and Optimization program often find employment in areas such as data analysis, operations research, software development, logistics, and finance, among others. With access to cutting-edge resources, expert faculty, and a vibrant academic community, students are well-equipped to contribute to technological advancements and innovative solutions. The University of Waterloo's strong emphasis on experiential learning and co-op opportunities ensures graduates gain valuable industry experience, enhancing their employability and professional networks. Overall, this program prepares students for diverse and dynamic career paths by combining rigorous mathematical training with practical problem-solving skills, setting a solid foundation for lifelong learning and professional success.

• Algebraic Combinatorics
• Continuous Optimization
• Cryptography
• Discrete Optimization
• Graph Theory
• Quantum Computing

Requirements 

• A four-year Honours Bachelor degree or its equivalent in mathematics or in a closely related field with a 78% overall average or its equivalent for undergraduate work.
• Applicants from foreign countries must normally take the Graduate Record Examinations (GRE) General Test and Subject Tests.
• Supplementary information form
• Transcript(s)
• 3 references, at least 2 of them are academic.
• IELTS 7.0; Internet-Based TOEFL (iBT) 90 overall

Scholarships

• Tri-Council (Canadian Institutes of Health Research (CIHR), NSERC, Social Sciences and Humanities Research Council (SSHRC)) Canada Graduate Scholarships Master's (CGS-M)
• University Graduate Studies Office Ontario Graduate Scholarship

The Bachelor of Mathematics in Combinatorics and Optimization at the University of Waterloo is a highly specialized undergraduate program designed to provide students with a deep understanding of the mathematical principles underlying combinatorial and optimization theories. This program aims to equip students with rigorous analytical skills and problem-solving techniques applicable to various fields such as computer science, operations research, data science, and engineering. The curriculum covers a broad spectrum of topics including discrete mathematics, graph theory, algorithms, integer programming, linear programming, network flows, and combinatorial design. Students engage in both theoretical studies and practical applications, often working on real-world problems through projects, research opportunities, and internships.

The program typically spans four years for full-time students and offers a balance between coursework, independent study, and collaborative research. Students are encouraged to participate in co-op placements that allow them to gain industry experience, develop professional skills, and build extensive networks within the mathematics and technology sectors. The university provides state-of-the-art facilities, dedicated faculty members with expertise in combinatorics and optimization, and access to cutting-edge research resources. Graduates of this program are well-prepared for careers in academia, government agencies, private sector firms, or for further graduate studies, including master's and doctoral programs.

The Department of Pure Mathematics at Waterloo emphasizes a supportive learning environment, active research involvement, and community engagement. Students may have opportunities to attend seminars, conferences, and workshops focused on combinatorics and optimization topics. The program also emphasizes developing strong communication skills to effectively convey complex mathematical concepts in diverse settings. The combination of theoretical foundation and practical experience prepares graduates to contribute to technological innovations, solve complex operational challenges, or pursue advanced degrees in mathematics, computer science, or related fields. The university's reputation for research excellence and extensive partnerships with industry make it a compelling choice for students interested in combinatorics and optimization.