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Combinatorics is the study of discrete structures, and related algorithms. We might be interested in these things for their own sake, or because of potential applications to real world problems. Optimization deals with determining the values of variables that maximize or minimize an objective. Research and teaching in our department emphasizes six areas: algebraic combinatorics, combinatorial/discrete optimization, continuous optimization, cryptography, graph theory, and quantum computing. At other universities, these subjects would lie in mathematics, computer science or operation research departments, but at Waterloo we find that they fit together very well, and cross fertilize each other in ways you might not at first expect. Thus students in quantum computing may use tools from continuous optimization, while effective algorithms for combinatorial optimization can depend on sophisticated ideas from graph theory.
Program overview
Main Subject
Mathematics
Degree
Other
Study Level
Masters
Combinatorics is the study of discrete structures, and related algorithms. We might be interested in these things for their own sake, or because of potential applications to real world problems. Optimization deals with determining the values of variables that maximize or minimize an objective. Research and teaching in our department emphasizes six areas: algebraic combinatorics, combinatorial/discrete optimization, continuous optimization, cryptography, graph theory, and quantum computing. At other universities, these subjects would lie in mathematics, computer science or operation research departments, but at Waterloo we find that they fit together very well, and cross fertilize each other in ways you might not at first expect. Thus students in quantum computing may use tools from continuous optimization, while effective algorithms for combinatorial optimization can depend on sophisticated ideas from graph theory.
Minimum requirements: (1) 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; (2) Applicants from foreign countries must normally take the Graduate Record Examinations (GRE) General Test and Subject Tests. // Application materials: (1) Supplementary information form; (2) Transcript(s). // For further information on admission requirements please check with the University for entry.
One of the important factors when considering a master's degree is the cost of study. Luckily, there are many options available to help students fund their master's programme. Download your copy of the Scholarship Guide to find out which scholarships from around the world could be available to you, and how to apply for them.
The University of Waterloo offers more than 100 undergraduate programs in areas such as health, humanities and social sciences, business, engineering, the environment, mathematics, and science.
Waterloo has been ranked as Canada's most innovative university for the past 25 years and as one of Canada's best overall universities. The university is home to the world's largest co-op program with 6,700 employers around the world hiring our students for 4-month paid work terms throughout their degree. View our admission requirements to learn more.
The University of Waterloo offers over 190 doctoral and Master’s degree programs and was ranked #152 in the QS World University Rankings 2015. Postgraduate programs include Biology, Nanotechnology, Civil Engineering, Computer Science, Electrical and Computer Engineering, Economics, Languages, Mechanical Engineering, Pharmacy, and Mathematics.
The engineering and technology schools are ranked 57th in the world in the QS World University Rankings and alumni go on to work at companies like BlackBerry (founded by a Waterloo alum), Apple, Ernst & Young, and Google.
While graduate job placement for the university is excellent, Waterloo also prides itself in its research programs and degrees. With over $200 million in funding from both local and international partners – 31% of funding comes from industry partnerships – the school has been able to push the envelope in innovation in the STEM fields, health sciences, and the arts.
Combinatorics and Optimization (Co-op) (MMath) (Taught)
University of Waterloo, Main Campus, Waterloo, Canada
# =39QS Subject Rankings
12 monthsProgram duration
21,126 CADTuition Fee/year
MathematicsMain Subject Area
Program overview
Main Subject
Mathematics
Degree
Other
Study Level
Masters
Program overview
Main Subject
Mathematics
Degree
Other
Study Level
Masters
Admission requirements
Exam Scores
Important Dates
Minimum requirements: (1) 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; (2) Applicants from foreign countries must normally take the Graduate Record Examinations (GRE) General Test and Subject Tests. // Application materials: (1) Supplementary information form; (2) Transcript(s). // For further information on admission requirements please check with the University for entry.
Tuition fee and scholarships
Tuition Fee
Scholarships
Domestic Students
International Students
One of the important factors when considering a master's degree is the cost of study. Luckily, there are many options available to help students fund their master's programme. Download your copy of the Scholarship Guide to find out which scholarships from around the world could be available to you, and how to apply for them.
In this guide you will find:
Where to look for scholarship opportunities
How to apply to scholarships relevant to you
A list of available scholarships around the world
A scholarship application checklist
More programs from the university
Bachelor UG
Master PG
PHD
The University of Waterloo offers more than 100 undergraduate programs in areas such as health, humanities and social sciences, business, engineering, the environment, mathematics, and science.
Waterloo has been ranked as Canada's most innovative university for the past 25 years and as one of Canada's best overall universities. The university is home to the world's largest co-op program with 6,700 employers around the world hiring our students for 4-month paid work terms throughout their degree. View our admission requirements to learn more.
Arts and Humanities (6)
Architectural Engineering (BAS)
Architecture
Classical Studies
English
Fine Arts
French
Geography and Aviation
Geography and Environmental Management
Geological Engineering (BAS)
Geomatics
German
History
Knowledge Integration (BKI)
Liberal Studies
Medieval Studies
Music
Philosophy
Planning
Spanish
Theatre and Performance
Business and Management (6)
Bachelor of Accounting and Financial Management
Bachelor of Computing and Financial Management
Bachelor of Global Business and Digital Arts
Bachelor of Sustainability and Financial Management
Business Administration (Laurier) and Computer Science (Waterloo) Double Degree
Business Administration (Laurier) and Mathematics (Waterloo) Double Degree
Science and Business
Engineering and Technology (6)
Chemical Engineering (BAS)
Civil Engineering (BAS)
Computer Engineering (BAS)
Computer Science (Data Science) (BCS)
Electrical Engineering (BAS)
Management Engineering (BAS)
Mechanical Engineering (BAS)
Mechatronics Engineering (BAS)
Nanotechnology Engineering (BAS)
Software Engineering (BAS)
Systems Design Engineering (BAS)
Life Sciences and Medicine (6)
Anthropology
Biomedical Engineering (BAS)
Biotechnology / Chartered Professional Accountancy
Biotechnology / Economics
Kinesiology
Life Sciences (Biochemistry)
Life Sciences (Biology)
Life Sciences (Biomedical Sciences)
Life Sciences (Psychology)
Physical Sciences (Medicinal Chemistry) (co-op only)
Psychology (Bachelor of Arts)
Therapeutic Recreation
Natural Sciences (6)
Environment and Business
Environment, Resources and Sustainability
Environmental Engineering (BAS)
Environmental Science
Mathematics (Actuarial Science)
Mathematics (Applied Mathematics)
Mathematics (Biostatistics)
Mathematics (Combinatorics and Optimization)
Mathematics (Computational Mathematics)
Mathematics (Data Science)
Mathematics (Mathematical Economics)
Mathematics (Mathematical Finance)
Mathematics (Mathematical Optimization)
Mathematics (Mathematical Physics)
Mathematics (Mathematical Studies)
Mathematics (Mathematics Teaching)
Mathematics (Pure Mathematics)
Mathematics (Statistics)
Mathematics / Business Administration (Information Technology Management)
Mathematics / Chartered Professional Accountancy
Mathematics / Financial Analysis and Risk Management
Physical Sciences (Chemistry)
Physical Sciences (Earth Sciences)
Physical Sciences (Life Physics)
Physical Sciences (Materials and Nanosciences)
Physical Sciences (Mathematical Physics)
Physical Sciences (Physics and Astronomy)
Physical Sciences (Physics)
Science and Aviation
Social Sciences and Management (6)
Economics
Gender and Social Justice
Health Studies
International Development
Legal Studies
Peace and Conflict Studies
Political Science
Public Health
Recreation and Leisure Studies
Recreation and Sport Business
Religious Studies
Sexuality, Marriage and Family Studies
Social Development Studies
Sociology
Speech Communication
Tourism Development
The University of Waterloo offers over 190 doctoral and Master’s degree programs and was ranked #152 in the QS World University Rankings 2015. Postgraduate programs include Biology, Nanotechnology, Civil Engineering, Computer Science, Electrical and Computer Engineering, Economics, Languages, Mechanical Engineering, Pharmacy, and Mathematics.
The engineering and technology schools are ranked 57th in the world in the QS World University Rankings and alumni go on to work at companies like BlackBerry (founded by a Waterloo alum), Apple, Ernst & Young, and Google.
While graduate job placement for the university is excellent, Waterloo also prides itself in its research programs and degrees. With over $200 million in funding from both local and international partners – 31% of funding comes from industry partnerships – the school has been able to push the envelope in innovation in the STEM fields, health sciences, and the arts.
Arts and Humanities (6)
Architecture (Taught)
Architecture (Water) (Taught)
Classical Studies (Taught)
Climate Change (MCC) (Taught)
Earth Sciences (Taught)
Earth Sciences (Water) (Taught)
English (Experimental Digital Media) (Co-op) (Taught)
English (Experimental Digital Media) (Taught)
English (Literary Studies) (Co-op) (Taught)
English (Literary Studies) (Taught)
English (Rhetoric and Communication Design) (Co-op) (Taught)
English (Rhetoric and Communication Design) (Taught)
Fine Arts (Studio Art) (Taught)
French Studies (Taught)
Geography (MES) (Taught)
Geography (Taught)
Geography (Taught)
Geography (Water) (MES) (Taught)
Geography (Water) (Taught)
Geography (Water) (Taught)
German (Intercultural German Studies) (Taught)
German (Taught)
History (Taught)
Philosophy (Taught)
Planning (MA) (Taught)
Planning (MES) (Taught)
Planning (MPlan) (Taught)
Business and Management (6)
Business, Entrepreneurship and Technology (MBET) (Taught)
Master of Accounting (MAcc) (Taught)
Master of Business, Entrepreneurship and Technology
Quantitative Finance (MQF) (Taught)
Taxation (MTax) (Taught)
Engineering and Technology (6)
Chemical Engineering (MASc) (Taught)
Chemical Engineering (Nanotechnology) (MASc) (Taught)
Chemical Engineering (Taught)
Chemical Engineering (Water) (MASc) (Taught)
Civil Engineering (MASc) (Taught)
Civil Engineering (Nuclear Engineering) (Taught)
Civil Engineering (Taught)
Civil Engineering (Water) (MASc) (Taught)
Computer Science (MMath) (Taught)
Computer Science (Quantum Information) (MMath) (Taught)
Electrical and Computer Engineering (Electric Power Engineering) (Taught)
Electrical and Computer Engineering (MASc) (Taught)
Electrical and Computer Engineering (Nanotechnology) (MASc) (Taught)
Electrical and Computer Engineering (Quantum Information) (MASc) (Taught)
Electrical and Computer Engineering (Taught)
Mechanical and Mechatronics Engineering (MASc) (Taught)
Mechanical and Mechatronics Engineering (Nanotechnology) (MASc) (Taught)
Mechanical and Mechatronics Engineering (Taught)
Systems Design Engineering (MASc) (Taught)
Systems Design Engineering (Nanotechnology) (MASc) (Taught)
Systems Design Engineering (Taught)
Life Sciences and Medicine (6)
Anthropology (Public Issues) (Taught)
Biology (Taught)
Biology (Water) (Taught)
Biostatistics (MMath) (Taught)
Kinesiology (Coursework) (Taught)
Kinesiology (Taught)
Pharmacy (Taught)
Psychology (Applied Psychology) (MASc) (Taught)
Psychology (Developmental and Communication Science) (MASc) (Taught)
Psychology (Taught)
Vision Science (Taught)
Natural Sciences (6)
Actuarial Science (MActSc) (Taught)
Actuarial Science (MMath) (Taught)
Applied Mathematics (MMath) (Taught)
Applied Mathematics (Quantum Information) (MMath) (Taught)
Applied Mathematics (Water) (MMath) (Taught)
Chemistry (Co-op) (Taught)
Chemistry (Nanotechnology) (Taught)
Chemistry (Quantum Information) (Taught)
Chemistry (Taught)
Combinatorics and Optimization (Co-op) (MMath) (Taught)
Combinatorics and Optimization (MMath) (Taught)
Combinatorics and Optimization (Quantum Information) (MMath) (Taught)
Computational Mathematics (MMath) (Taught)
Environment and Business (MEB) (Taught)
Mathematics for Teachers (MMT) (Taught)
Physics (Nanotechnology) (Taught)
Physics (Quantum Information) (Taught)
Physics (Taught)
Pure Mathematics (MMath) (Taught)
Social and Ecological Sustainability (MES) (Taught)
Social and Ecological Sustainability (Water) (MES) (Taught)
Sustainability Management (MES) (Taught)
Sustainability Management (Water) (MES) (Taught)
Social Sciences and Management (6)
Data Science (MMath) (Taught)
Data Science and Artificial Intelligence (Co-op) (MDSAI) (Taught)
Development Practice (MDP) (Taught)
Digital Experience Innovation (MDEI) (Taught)
Economic Development and Innovation (MEDI) (Taught)
Economics (Co-op) (Taught)
Economics (Taught)
Economics (Water) (Co-op) (Taught)
Economics (Water) (Taught)
Global Governance (Taught)
Health Evaluation (MHE) (Taught)
Health Informatics (Public Health and Health Systems) (MHI) (Taught)
Management Sciences (MASc) (Taught)
Management Sciences (MMSc) (Taught)
Management Sciences (Management of Technology) (MMSc) (Taught)
Peace and Conflict Studies (MPACS) (Taught)
Political Science (Taught)
Public Health (Taught)
Public Health and Health Systems (Taught)
Public Health and Health Systems (Water) (Taught)
Public Service (Co-op) (MPS) (Taught)
Public Service (MPS) (Taught)
Recreation and Leisure Studies (Taught)
Social Work (Taught)
Social and Legal Studies (Co-op) (Taught)
Social and Legal Studies (Taught)
Sociology (Co-op) (Taught)
Sociology (Taught)
Statistics (MMath) (Taught)
Business and Management (1)
PhD in Entrepreneurship and Organization