About This Site | Mathematics - Wyatt's Notes

graph TD
    A[Limits] --> B[Continuity]
    B --> C[Differentiation]
    C --> D[Integration]

Wyatt’s Notes provides comprehensive study materials for university-level mathematics. These notes cover linear algebra, calculus, differential equations, abstract algebra, and more, building from foundational concepts to advanced mathematical theory.

These notes are developed by Wyatt, an educator and content creator with thorough knowledge of mathematical pedagogy. Content follows the standard undergraduate mathematics curriculum, emphasising proofs, rigour, and the logical structure that defines mathematical thinking.

Materials balance formal definitions and theorems with intuitive explanations and worked examples. The approach reflects how mathematics is taught at leading universities, where understanding why a result holds is as important as knowing the result itself.

• Linear algebra covering vector spaces, matrices, eigenvalues, and inner products
• Calculus including single and multivariable analysis
• Differential equations for ordinary and partial differential equations
• Abstract algebra covering groups, rings, and fields
• Proof techniques including direct proof, contradiction, and induction

Wyatt develops resources across mathematics, physics, and computer science, enabling interdisciplinary connections that deepen mathematical understanding. Materials are informed by standard university curricula, research-level insights, and pedagogical best practice.

• Physics — University-level physics notes
• Computer Science — Computer science theory resources
• Machine Learning — Machine learning and data science notes

Start with linear algebra and calculus to build core mathematical maturity. Each topic progresses from definitions through proofs to applications. Use the practice problems to develop your proof-writing and problem-solving skills.

Visit wyattsnotes.wyattau.com for the full network of study resources.

This site provides comprehensive study materials covering:

• Algebra
• Calculus
• Linear algebra
• Probability
• Statistics
• Number theory

Each topic includes detailed explanations, worked examples, and practice problems designed to build deep understanding.

1. Start with fundamentals — begin with the core topics before moving to advanced material
2. Work through examples — every concept includes worked examples with step-by-step solutions
3. Test yourself — use the practice problems and diagnostic tests to identify knowledge gaps
4. Cross-reference — related topics on other sites in the Wyatt’s Notes network provide additional perspectives

• Flashcards — spaced repetition flashcards for key concepts and formulas
• Practice Problems — graded problems from basic to advanced
• Diagnostic Tests — identify your strengths and weaknesses
• Worked Examples — step-by-step solutions to common problems

These notes are informed by standard university textbooks including Spivak, Axler, Aluffi, Strang. While the notes follow the general structure of these texts, they are not a substitute for reading the primary sources.

high school mathematics, mathematical maturity

Wyatt’s Notes is a network of 45+ study sites covering physics, mathematics, computer science, programming languages, and more. Each site is built with Astro and Starlight, using SolidJS for interactive components.

• Mathematics — University-level mathematics
• Physics — University-level physics
• Computer Science — Algorithms, data structures, and theory
• Programming — Programming fundamentals and practice

For questions, corrections, or suggestions, visit wyattsnotes.wyattau.com or open an issue on GitHub.

• Mathematics
• Mathematics
• abstract algebra

This topic covers the fundamental principles and applications in depth. Each concept is explained with clear definitions, worked examples, and practice problems to reinforce understanding.

Understanding these core concepts is essential for mastering this topic. They form the foundation for more advanced study and are frequently examined.

Worked examples demonstrate how to apply the concepts to solve problems. Each example is broken down into clear steps with explanations.

• Rushing through foundational material
• Not practising problems after reading
• Failing to connect concepts across topics

Consult the recommended textbooks and additional resources for deeper understanding of this topic.

This topic covers the fundamental principles and applications in depth. Each concept is explained with clear definitions, worked examples, and practice problems to reinforce understanding.

Understanding these core concepts is essential for mastering this topic. They form the foundation for more advanced study and are frequently examined.

Worked examples demonstrate how to apply the concepts to solve problems. Each example is broken down into clear steps with explanations.

• Rushing through foundational material
• Not practising problems after reading
• Failing to connect concepts across topics

Consult the recommended textbooks and additional resources for deeper understanding of this topic.