Visualization Coverage

34 of 201 concepts have interactive visualizations (17%)

Overall Coverage17%

Visualization Quality Rubric

46/182passing all axes (25%)

Concept Fidelity58%

avg: 71

Visual Clarity41%

avg: 56

Animation Quality68%

avg: 65

Interaction Design93%

avg: 51

Pedagogical Scaffolding59%

avg: 64

Performance100%

avg: 82

By Difficulty Level

8/15

53%

14/39

36%

5/60

5/56

2/31

By Category

Data Structures

5/10 (50%)

With visualization:

Linked Lists2/6 Stacks5/6 Queues3/6 Hash Tables6/6 Heaps5/6

Needs visualization:

Arrays Binary Search Trees Balanced Trees Disjoint Sets Tries

Graph Theory

4/12 (33%)

With visualization:

Graphs Introduction6/6 Graph Traversal6/6 Binary Trees2/6 Shortest Paths4/6

Needs visualization:

Graph Representations Trees Minimum Spanning Trees Topological Sort Strongly Connected Components Network Flow Graph Coloring Spectral Graph Theory

Algorithms

4/18 (22%)

With visualization:

Big O Notation5/6 Basic Sorting6/6 Binary Search5/6 Recursion6/6

Needs visualization:

What is an Algorithm Divide and Conquer Dynamic Programming Greedy Algorithms Amortized Analysis Complexity Classes NP-Completeness Approximation Algorithms Randomized Algorithms Online Algorithms Automatic Differentiation Numerical Stability and Conditioning Computational Complexity Theory Information-Theoretic Bounds

Linear Algebra

4/19 (21%)

With visualization:

Vectors Introduction6/6 Matrix Operations5/6 Dot Product4/6 Convolution Operation3/6

Needs visualization:

Systems of Linear Equations Vector Spaces Linear Independence Basis and Dimension Norms Determinants Eigenvalues and Eigenvectors Matrix Decomposition Orthogonality Projections Cosine Similarity Affine Transformations (Linear Layers)Singular Value Decomposition Principal Component Analysis Matrix Calculus

Discrete Math

2/14 (14%)

With visualization:

Sets4/6 Boolean Logic6/6

Needs visualization:

Counting Principles Functions Sequences Proof Techniques Permutations Combinations Relations Equivalence Relations Modular Arithmetic Recurrence Relations Generating Functions Pigeonhole Principle

Information Theory

1/7 (14%)

With visualization:

Entropy6/6

Needs visualization:

Mutual Information KL Divergence Cross-Entropy Information Bottleneck Rate-Distortion Theory Channel Capacity

Calculus

2/15 (13%)

With visualization:

Coordinate Systems5/6 Derivatives6/6

Needs visualization:

Slope and Rate of Change Linear Equations Limits Continuity Derivative Rules Integrals Fundamental Theorem of Calculus Multivariable Calculus Gradients Multivariable Chain Rule Taylor Series Multiple Integrals Jacobian

Optimization

1/12 (8%)

With visualization:

Gradient Descent2/6

Needs visualization:

Optimization Introduction Convex Functions Convex Optimization Lagrange Multipliers KKT Conditions Linear Programming Stochastic Gradient Descent Bayesian Optimization Conjugate Gradient Methods Second-Order Optimization Lagrangian Duality

Game Theory

0/12 (0%)

Needs visualization:

Game Theory Introduction Nash Equilibrium Zero-Sum Games Mechanism Design Mixed Strategies Bayesian Games Repeated Games Oligopoly Models Auction Theory Cooperative Games Dynamic Games Signaling Games

Formal Methods

0/2 (0%)

Needs visualization:

Propositional Logic Predicate Logic

Software Engineering

0/1 (0%)

Needs visualization:

Task Discretization

Applied Economics

0/10 (0%)

Needs visualization:

Utility Theory Demand Functions Price Elasticity Consumer Surplus Cost Functions Profit Maximization Price Discrimination Revenue Management Dynamic Pricing Competitive Pricing

Quality Badge Legend

6/6 All axes pass4/6 Most axes pass2/6 Needs improvement

Axes: Concept Fidelity, Visual Clarity, Animation, Interaction, Pedagogy, Performance

Coverage generated: 4/26/2026, 2:52:36 PM
Quality rubric version: 2.0.0