Vectors, Norms & Projection
Linear Algebra
Compute dot products, measure the length of vectors and matrices, and find how much of one vector lies along another.
0% masteryNot started
Concepts
Every math checkpoint with worked steps and a spaced review schedule you can grade anytime.
20 concepts across 7 categories
20 total
Linear Algebra
4- Due
- Due
Matrix Products, Trace & Rank
Linear Algebra
Multiply matrices, read off the trace, track how shapes combine, and detect when rows collapse to a lower rank.
0% masteryNot started - Locked
Determinants
Linear Algebra
Evaluate 2x2 and 3x3 determinants by hand and use them to reason about orthogonal matrices.
0% masteryNot startedprerequisite: Matrix Products, Trace & Rank
- Locked
Inverses & Eigenvalues
Linear Algebra
Invert 2x2 matrices, recognize orthogonal matrices, and solve the characteristic equation for eigenvalues.
0% masteryNot startedprerequisite: Determinants
Calculus
3- Due
Basic Derivatives
Calculus
Differentiate powers, logs, and trigonometric functions, then evaluate the derivative at a point.
0% masteryNot started - Locked
Chain Rule & Higher Derivatives
Calculus
Differentiate composed functions with the chain rule and take second derivatives.
0% masteryNot startedprerequisite: Basic Derivatives
- Locked
Definite Integrals
Calculus
Find antiderivatives and evaluate definite integrals, including one integration by parts.
0% masteryNot startedprerequisite: Basic Derivatives
Statistics
3- Due
Mean, Median & Mode
Statistics
Summarize a data set with its three classic centers: the mean, the median, and the most frequent value.
0% masteryNot started - Locked
Variance & Spread
Statistics
Measure spread with population and sample variance, and understand why Bessel's correction uses n - 1.
0% masteryNot startedprerequisite: Mean, Median & Mode
- Locked
Covariance, Correlation & z-Scores
Statistics
Quantify how two variables move together, standardize individual values, and interpret a correlation of zero.
0% masteryNot startedprerequisite: Variance & Spread
Probability
3- Due
Probability & Expectation
Probability
Count equally likely outcomes, use complements, and compute expected values for simple random experiments.
0% masteryNot started - Locked
Counting & Independent Events
Probability
Use binomial coefficients, the independence multiplication rule, and expected waiting times in counting problems.
0% masteryNot startedprerequisite: Probability & Expectation
- Locked
Variance & Distributions
Probability
Work with binomial and geometric variables, and add variances of independent random variables.
0% masteryNot startedprerequisite: Probability & Expectation
ML Fundamentals
4- Due
Precision, Recall & F1
ML Fundamentals
Evaluate classifiers with precision, recall, and their harmonic mean.
0% masteryNot started - Due
Regularization & Generalization
ML Fundamentals
Understand overfitting, the bias-variance tradeoff, and how L1 regularization creates sparse models.
0% masteryNot started - Due
Losses & Gradients
ML Fundamentals
Compute mean squared error, differentiate it with respect to a weight, and state the k-means objective.
0% masteryNot started - Due
Sigmoid, Bayes & Entropy
ML Fundamentals
Use probability inside models: sigmoid outputs, Bayes' rule for a positive test, and entropy as uncertainty.
0% masteryNot started
Optimization
2- Due
Minima, Convexity & Limits
Optimization
Locate minima, test convexity with second derivatives, and evaluate the limit that shows up throughout optimization.
0% masteryNot started - Locked
Iterative Methods & Step Sizes
Optimization
Take a gradient descent update, run one Newton step, and find the step-size bound set by the curvature.
0% masteryNot startedprerequisite: Minima, Convexity & Limits
Information Theory
1- Due
Entropy & KL Divergence
Information Theory
Measure uncertainty in bits for coins and uniform distributions, and reason about KL divergence.
0% masteryNot started
Concepts unlock once each prerequisite reaches 2 reps or 40% mastery. Reviews are scheduled with SM-2; grading here updates the same schedule as Today and Pen & Paper Math.