__Undergraduate Courses and Programs:__

The following two courses, which have no calculus prerequisites, are intended for students in **all** disciplines:

- MATH 203A,B Basic Principles and Methodology of Statistics I
- MATH 204B Basic Principles and Methodology of Statistics II

These two courses are intended to supply a sufficient understanding of basic statistics in order to comprehend statistical components of journal articles, and to design and analyse the statistical aspect of experiments.

### Undergraduate Programs in Probability and Statistics:

For students in mathematics and statistics, there are two undergraduate statistics programs.

For students interested in applications of statistics in other disciplines, there are two joint programs with other departments:

- Joint majors program in statistics and computer science
- Joint honours program in statistics and computer science

#### Honours Program in Probability and Statistics

The Honours Program in Probability and Statistics is designed for students who intend to enter into graduate studies in Statistics or Probability.

Core Probability and Statistics Courses in Honours Probability and Statistics Program:

- MATH 356A Probability
- MATH 357B Statistics
- MATH 556A Mathematical Statistics I
- MATH 557B Mathematical Statistics II
- MATH 533A Honours Regression and Analysis of Variance
- MATH 523B Generalized Linear Models

#### Minors Program in Statistics

The minor program is open to any student in any program in the Faculty of Science and intended to provide students with an introduction to the fundamental tools of modern statistics and probability.

Core Probability and Statistics Courses in Minors Program in Statistics:

#### Complementary Courses

Both programs require students also take a number of complementary courses in other topics in probability and statistics. Some of those courses include:

- MATH 447B Stochastic Processes
- MATH 410 Majors Project
- MATH 420 Majors Independent Study
- MATH 470 Honours Project
- MATH 480 Honours Independent Study

- MATH 523 Generalized Linear Models (required for Honours Probability and Statistics students)
- MATH 524 Nonparametric Statistics
- MATH 525 Sampling Theory and Applications
- MATH 587A Advanced Probability I
- MATH 589B Advanced Probability II

For additional information, see the *McGill Undergraduate Programs Calendar.*

__Graduate Courses and Programs:__

Admission Requirements:

Master's ProgramThe normal entrance requirement for the master's degree program in statistics is a Canadian honours degree in mathematics and statistics, or its equivalent; in particular, a strong background in calculus (including introductory real analysis), linear algebra, and the equivalent of the above set of 300- and 400-level courses in probability and statistics. Applicants deficient in this background may have to make up some of these requirements before being admitted to the Master's program.

Doctoral ProgramStudents normally enter the Ph.D. program after completing a Master's degree program in statistics with high standing. Approval of the department is needed even after successful completion of the Master's degree program at McGill.

### Program Requirements:

Master's ProgramStudents must choose between the thesis option, which requires a thesis (24 credits) and six approved courses (for a total of at least 22 credits), and the project option, which requires a project (15 credits) and eight approved courses (for a total of 30 credits). In either case, students are expected to take MATH 556, MATH 557, MATH 523 and MATH 533; if they intend to continue in a doctoral program, they should also take MATH 587 and MATH 589 .

Doctoral ProgramTo complete a Ph.D. program, students must

- pass twelve one-semester courses beyond the Bachelor's level (MATH 556, 557, 587, 589, 523, 533 or equivalent are expected), approved by the student's advisory committee,
- pass a comprehensive examination consisting of a written Part A, concerned with general mathematical and statistical background, and an oral Part B concerned with two topics at an advanced graduate level,
- demonstrate facility in reading statistical articles in English,
- submit a thesis judged to be an original contribution to knowledge, and
- defend that thesis orally before a committee of experts.

### Graduate Courses offered by Our Department:

- MATH 523B Generalized Linear Models
- MATH 524B Nonparametric Statistics
- MATH 533A Regression and Analysis of Variance

- MATH 556A Mathematical Statistics I
- MATH 557B Mathematical Statistics II
- MATH 587A Advanced Probability Theory I
- MATH 589B Advanced Probability Theory II
- MATH 671B Applied Stochastic Processes
- MATH 674 Experimental Design
- MATH 676 Multivariate Analysis
- MATH 678 Applied Statistical Methods and Data Analysis I
- MATH 679 Applied Statistical Methods and Data Analysis II
- MATH 680 Computation Intensive Statistics
- MATH 681 Time Series Analysis
- MATH 682 Matrix Theory with Statistical and Other Applications
- MATH 683B Linear Models
- MATH 685D Statistical Consulting
- MATH 686A Survival Analysis
- MATH 789D Seminars in Statistics and Probability

Courses with a MATH 5xx number may be taken for credit by both undergraduate and graduate students. From time to time, additional specialized courses and seminars are offered by staff members and visitors.

### Additional Graduate Courses

There are graduate statistics and mathematics courses offered at other locations in Montreal, which with approval, may be taken for credit as part of the Master's or Ph.D programs. The School of Computer Science offers __Probabilistic Analysis of Algorithms__. The __Department of Epidemiology, Biostatistics, and Occupational Health__ at McGill offers a number of courses in statistics. Moreover, the Mathematics/Statistics departments of the four Montreal Universities (McGill, Concordia, University of Montreal, and University of Quebec at Montreal) coordinate their graduate programs through the __Institut des Sciences Mathematiques de Montreal (ISM)__, and graduate students at any one institution may take for credit certain selected courses from the other three institutions.