AIM Qualifying Review (Formerly called AIM Preliminary Exams)
Because AIM attracts students with diverse backgrounds, one of the initial requirements is for all students to exhibit a sufficiently strong command of advanced undergraduate level mathematics to be ready to take appropriate graduate level mathematics courses. This is the goal of the written AIM Qualifying Review Examinations. Students may choose to pass any two threehour exams offered in the following three areas:
 Advanced Calculus & Complex Variables
 Differential Equations & Linear Algebra
 Probability & Discrete Mathematics
Incoming students must sign up to take two exams prior to beginning their coursework. Students not passing the exams on the first attempt will receive counseling regarding options (for example, remedial coursework) for enabling future success. The AIM Qualifying Review Examinations are offered twice each school year, once prior to the start of classes in the Fall semester and again prior to the start of classes in the Winter semester. Successful AIM Ph.D. students will pass two exams within three attempts, that is, by the beginning of the second year of study. Unsuccessful students may continue in the program for one further year to complete an AIM Master's degree.
About the AIM Qualifying Review (QR) Exams
Examination Schedule
The 20162017 AIM Qualifying Review Exam Schedule is as follows:
 Fall 2016 dates: Saturday and Monday, September 3 and 5.
 Advanced Calculus & Complex Variables: Saturday, September 3, 9AMnoon.
 Differential Equations & Linear Algebra: Saturday, September 3, 2PM5PM.
 Probability & Discrete Mathematics: Monday, September 5, 9AMnoon.
 Winter 2017 dates: To be determined.
The AIM QR Examination in Advanced Calculus & Complex Variables
We recommend the following references for students preparing for this examination:
 J. Stewart, Multivariable Calculus.
 K. Ross, Elementary Analysis: The Theory of Calculus.
 J. W. Brown and R. V. Churchill, Complex Variables and Applications.
Download a detailed syllabus.
Some of the recent AIM QR Examinations in Advanced Calculus & Complex Variables are available for study:
The AIM QR Examination in Differential Equations & Linear Algebra
We recommend the following references for students preparing for this examination:
 W. E. Boyce and R. C. DiPrima, Elementary Differential Equations.
 R. Haberman, Applied Partial Differential Equations with Fourier Series and BoundaryValue Problems (Chapters 14).
 G. Strang, Linear Algebra and its Applications.
Download a detailed syllabus.
Some of the recent AIM QR Examinations in Differential Equations & Linear Algebra are available for study:
The AIM QR Examination in Probability & Discrete Mathematics
We recommend the following references for students preparing for this examination:
 S. Ross, A First Course in Probability.
 R. A. Brualdi, Introductory Combinatorics.
 J. Kleinberg and É. Tardos, Algorithm Design.
Download a detailed syllabus.
Some of the recent AIM QR Examinations in Probability & Discrete Mathematics are available for study:
