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Course:

Spring 2026 Comprehensive Examination

Exam Specifications

Difficulty Curve

100%
Easy (Level 1-2)30%
Medium (Level 3)50%
Hard (Level 4-5)20%
Distribution yields approximately 15 Easy, 25 Medium, and 10 Hard questions.

Syllabus Topic Weight Allocation

Assign percentage weights per topic to guide algorithmic item sampling.

Total Weight:100% / 100%
Module 1: High-Dimensional Linear Algebra
Singular Value Decomposition & Low-Rank Approximations
Bloom: ANALYZE
25%
Module 2: Optimization Theory
Convex Optimization & Gradient Descent Dynamics
Bloom: APPLY
25%
Module 3: Probabilistic Modeling
Bayesian Inference & Maximum A Posteriori (MAP)
Bloom: EVALUATE
30%
Module 4: Neural Architectures
Deep Representation Learning & Transformers
Bloom: CREATE
20%