Catalogue

Browse all available quizzes, quizbooks, articles, textbooks, SynLearn templates, and SynPrep practice tracks.

1890 learning items

Subject:

Sort:

Showing 361–372 of 1890 items

Quiz

MML-01-05: Computational Complexity, Big-O & Tensor Operations for ML

Master the core mathematical principles of MML-01-05: Computational Complexity, Big-O & Tensor Operations for ML. This comprehensive assessment progresses from accessible conceptual foundations through step-by-step analytical derivations, diagnostic counterexamples, and real-world machine learning implementations. Topics covered include Characterize asymptotic growth rates using Big-O, Big-Omega, and Big-Theta notations., Calculate exact time and space complexity for fundamental vector operations., Analyze computational complexity of matrix-matrix multiplication and tensor contractions., as well as advanced diagnostics and synthesis. Prerequisites: QS 1.4.. Designed for machine learning researchers, data scientists, and engineers.

mathematics

Oct 31, 2026

25 questions

Quiz

MML-01-04: Floating-Point Arithmetic, Underflow, Overflow & The Log-Sum-Exp Trick

Master the core mathematical principles of MML-01-04: Floating-Point Arithmetic, Underflow, Overflow & The Log-Sum-Exp Trick. This comprehensive assessment progresses from accessible conceptual foundations through step-by-step analytical derivations, diagnostic counterexamples, and real-world machine learning implementations. Topics covered include Analyze IEEE 754 floating-point representations, precision tradeoffs, and subnormal numbers., Quantify machine epsilon and relative representation error bounds., Identify and mitigate catastrophic cancellation in floating-point subtractions., as well as advanced diagnostics and synthesis. Prerequisites: QS 1.3.. Designed for machine learning researchers, data scientists, and engineers.

mathematics

Oct 31, 2026

25 questions

Quiz

MML-01-03: Sums, Products, Logarithms & Exponential Properties

Master the core mathematical principles of MML-01-03: Sums, Products, Logarithms & Exponential Properties. This comprehensive assessment progresses from accessible conceptual foundations through step-by-step analytical derivations, diagnostic counterexamples, and real-world machine learning implementations. Topics covered include Manipulate summation and product notations, index shifts, and variable substitutions., Evaluate double summations, interchange summation order, and perform tensor contractions., Apply properties of exponential functions and natural logarithms., as well as advanced diagnostics and synthesis. Prerequisites: QS 1.2.. Designed for machine learning researchers, data scientists, and engineers.

mathematics

Oct 31, 2026

25 questions

Quiz

MML-01-02: Functions, Inverses, Compositions & Metric Spaces

Master the core mathematical principles of MML-01-02: Functions, Inverses, Compositions & Metric Spaces. This comprehensive assessment progresses from accessible conceptual foundations through step-by-step analytical derivations, diagnostic counterexamples, and real-world machine learning implementations. Topics covered include Identify domain, codomain, range, image, and preimage for activations and losses., Determine and verify injectivity, surjectivity, and bijectivity of representations., Construct and evaluate function compositions and analyze chain architectures., as well as advanced diagnostics and synthesis. Prerequisites: QS 1.1.. Designed for machine learning researchers, data scientists, and engineers.

mathematics

Oct 31, 2026

20 questions

Quiz

MML-01-01: Mathematical Notation, Set Theory & Logical Grammar in ML

Master the core mathematical principles of MML-01-01: Mathematical Notation, Set Theory & Logical Grammar in ML. This comprehensive assessment progresses from accessible conceptual foundations through step-by-step analytical derivations, diagnostic counterexamples, and real-world machine learning implementations. Topics covered include Differentiate scalar, vector, matrix, and tensor notations and indexing conventions., Apply set membership, subsets, and power set concepts to ML feature spaces., Compute set operations and Cartesian products in multidimensional spaces., as well as advanced diagnostics and synthesis. Prerequisites: High school algebra.. Designed for machine learning researchers, data scientists, and engineers.

mathematics

Oct 31, 2026

20 questions

Quiz

MML-05-03: Full SVD vs. Compact (Thin) SVD vs. Truncated SVD

Study Full SVD vs. Compact (Thin) SVD vs. Truncated SVD. Includes conceptual checks, worked calculations, diagnostic applications and carefully stated theorem hypotheses. Single-select and multiselect questions include content-based feedback. Prerequisites: QS 5.2. Intended cognitive level: Tier 2–3. This set contains 35 questions.

mathematics

Oct 31, 2026

35 questions

Quiz

MML-05-02: The SVD Theorem: Singular Values, Left & Right Singular Vectors

Study The SVD Theorem: Singular Values, Left & Right Singular Vectors. Includes conceptual checks, worked calculations, diagnostic applications and carefully stated theorem hypotheses. Single-select and multiselect questions include content-based feedback. Prerequisites: QS 5.1. Intended cognitive level: Tier 2–4. This set contains 40 questions.

mathematics

Oct 31, 2026

40 questions

Quiz

MML-05-01: Geometric Intuition of SVD: Sphere-to-Ellipsoid Transformations

Study Geometric Intuition of SVD: Sphere-to-Ellipsoid Transformations. Includes conceptual checks, worked calculations, diagnostic applications and carefully stated theorem hypotheses. Single-select and multiselect questions include content-based feedback. Prerequisites: Part 04. Intended cognitive level: Tier 1–2. This set contains 30 questions.

mathematics

Oct 31, 2026

30 questions

Quiz

MML-04-08: Cholesky Decomposition & Triangular Factorizations

Study Cholesky Decomposition & Triangular Factorizations. Includes conceptual checks, worked calculations, diagnostic applications and carefully stated theorem hypotheses. Single-select and multiselect questions include content-based feedback. Prerequisites: QS 4.7. Intended cognitive level: Tier 2–3. This set contains 30 questions.

mathematics

Oct 31, 2026

30 questions

Quiz

MML-04-07: Quadratic Forms, Definiteness (Positive Definite, Semi-Definite) & Ellipsoids

Study Quadratic Forms, Definiteness (Positive Definite, Semi-Definite) & Ellipsoids. Includes conceptual checks, worked calculations, diagnostic applications and carefully stated theorem hypotheses. Single-select and multiselect questions include content-based feedback. Prerequisites: QS 4.6. Intended cognitive level: Tier 2–4. This set contains 40 questions.

mathematics

Oct 31, 2026

40 questions

Quiz

MML-04-06: Symmetric Matrices, Orthogonal Diagonalization & The Spectral Theorem

Study Symmetric Matrices, Orthogonal Diagonalization & The Spectral Theorem. Includes conceptual checks, worked calculations, diagnostic applications and carefully stated theorem hypotheses. Single-select and multiselect questions include content-based feedback. Prerequisites: QS 4.5. Intended cognitive level: Tier 2–4. This set contains 40 questions.

mathematics

Oct 31, 2026

40 questions

Quiz

MML-04-05: Diagonalization, Similarity Transformations & Powers of Matrices

Study Diagonalization, Similarity Transformations & Powers of Matrices. Includes conceptual checks, worked calculations, diagnostic applications and carefully stated theorem hypotheses. Single-select and multiselect questions include content-based feedback. Prerequisites: QS 4.4. Intended cognitive level: Tier 2–3. This set contains 35 questions.

mathematics

Oct 31, 2026

35 questions