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Applied Mathematics MSc - Mathematics - Ryerson University

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<strong>Applied</strong> <strong>Mathematics</strong><strong>MSc</strong>School of Graduate Studieswww.ryerson.ca/graduate


<strong>Applied</strong> <strong>Mathematics</strong><strong>MSc</strong>Starting in Fall 2009, <strong>Ryerson</strong> <strong>University</strong> will be offering a program leading toa Master of Science degree in <strong>Applied</strong> <strong>Mathematics</strong>. The program will providea unique blend of mathematics and applied areas, offering students theopportunity to acquire mathematical expertise and techniques much soughtafter in industry. These skills will also allow students to begin work in appliedmathematical research.In addition to mathematics, students will learn about other fields of study suchas computer science, engineering and finance, and how to apply mathematicaltheories to problems arising in these areas. The program is also designed toallow students coming from other disciplines to expand their mathematicalknowledge and become acquainted with advanced mathematical techniques,theories and their applications.Program ObjectivesThe new graduate program, Master of Science in <strong>Applied</strong> <strong>Mathematics</strong>at <strong>Ryerson</strong> <strong>University</strong>, has been designed to provide quality education forstudents interested in pursuing a career in applications of mathematics, inresearch and industry. This program will equip students with advancedmathematical skills and knowledge, which play an indispensable role inalarge number of professions in the contemporary marketplace.Graduates of our program will satisfy a current and growing demand formathematically trained individuals who are able to move into business andindustry. The program will provide students with the background to engagein doctoral studies in applied mathematics or to successfully embark upona career in industry which demands a high level of quantitative oranalytical competency.23


Faculty Areas ofResearch ExpertiseParticipating faculty members from the Department of <strong>Mathematics</strong>have wide-ranging research interests in applied and pure mathematics,which include:❚❚Computer Security❚❚Biostatistics❚❚Financial <strong>Mathematics</strong>❚❚Software Testing❚❚Biomathematics❚❚Graph Theory❚❚Signal and Image Processing❚❚Fluid Mechanics❚❚❚❚CryptographyFoundations of StatisticalMechanics❚❚Differential Equationsand Operator TheoryMore details can be found atwww.ryerson.ca/graduate/mathematics/faculty.html.To obtain more information about the department,please visit www.math.ryerson.ca.4 5


Requirements & CurriculumYear OneThe <strong>MSc</strong> program in <strong>Applied</strong> <strong>Mathematics</strong> is a full-time thesis-basedprogram offered over two years. The program is research based andstudents will work with a faculty advisor who will assist in the preparationof an acceptable thesis. Students should thus be interested in pursuingresearch collaborations with a faculty member.Students will be required to participate in a series of departmental graduatestudent seminars, initially attending and later presenting. Students takea sequence of five courses which will be completed by the end of the fifthterm, as detailed in the following table.Fall Term / Winter Term Spring/Summer Term *One Foundations CourseTwo Core CoursesOne course from the Foundations course listor Elective course listSeminar participationYear TwoThesis workSeminar participationFall Term / Winter Term Spring/Summer Term *One course from the Foundations course listor Elective course listThesis workSeminar participationThesis workSeminar participationThesis defence6* Courses will not be offered in either Spring/Summer Term.7


Foundation CoursesStudents are required to take one of the two foundations courses listed below.These courses are designed to bring students from varying mathematicalbackgrounds to a common level, preparing them for study and researchin the field.❚❚ Analysis and Probability❚❚ Algebra and Discrete Mathematical StructuresElective CoursesThe courses in this group have been designed to either provide the necessarybackground for students to begin thesis work in a particular subject area orto broaden the students' mathematical knowledge.❚❚ Financial <strong>Mathematics</strong>❚❚ <strong>Applied</strong> Statistical Methods❚❚ Digital Signals and Wavelets❚❚ Partial Differential Equations❚❚ Topics in Functional Analysis❚❚ Topics in BiomathematicsCore CoursesTwo core courses are to be completed by all students in the program. Thesecourses focus on certain well-established principles and techniques that areparticularly important in applied mathematics. They also provide essentialbackground for some of the elective courses in the program.❚❚Topics in Discrete <strong>Mathematics</strong>❚❚❚❚Principles and Techniques in <strong>Applied</strong> <strong>Mathematics</strong>, part IPrinciples and Techniques in <strong>Applied</strong> <strong>Mathematics</strong>, part II89


<strong>Ryerson</strong> <strong>University</strong>, 350 Victoria StreetToronto, ON M5B 2K3 CanadaSeptember 2008 (55021)

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