Qualifying exam prep
Graduate · Math
Syllabus focus
Topics typically covered
Click a topic for the full text and related unit practice.
Graduate Qualifying Exam Prep — scope drawn from common US graduate qualifying exam topic lists in analysis, algebra, and topology.
Core area review
- Real analysis and measure theory review — Real analysis and measure theory review
- Abstract algebra — Abstract algebra
- Linear algebra review — Linear algebra review
- Topology and geometry review (program-dependent) — Topology and geometry review (program-dependent)
- Weak-area mapping and study planning — Weak-area mapping and study planning
Proof and exam strategy
- Timed proof practice under exam conditions — Timed proof practice under exam conditions
- Common proof templates — Common proof templates
- Error checking — Error checking
- Oral exam preparation (if applicable) — Oral exam preparation (if applicable)
Applied and computational topics
- Past qualifying exam problems by area — Past qualifying exam problems by area
- Numerical — Numerical
- Applied questions on exams (program-dependent) — Applied questions on exams (program-dependent)
- Probability — Probability
- Statistics qual topics (if required) — Statistics qual topics (if required)
- Problem-set strategies under time pressure — Problem-set strategies under time pressure
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Core area review
Real analysis and measure theory review
Coming soon - Proof and exam strategy
Timed proof practice under exam conditions
Coming soon - Applied and computational topics
Past qualifying exam problems by area
Coming soon
Notes
Graduate Qualifying Exam Prep — scope drawn from common US graduate qualifying exam topic lists in analysis, algebra, and topology. Topic outline: `content/topics/graduate/quals.json`.