courses

Course notes written to make hard subjects easier to follow, grouped by subject.

Mathematics

Plain-English notes that start with the picture and then bring in the symbols.

Linear Algebra I

First year 16 sections

Sixteen lectures covering the whole course: vectors and the dot product, projections, lines and planes, row reduction and RREF, matrix algebra and inverses, span, bases and subspaces, linear transformations, determinants, eigenvalues and diagonalization, Gram–Schmidt, symmetric matrices and least squares, with midterm and final reviews.

  • Vectors
  • Dot & cross product
  • Lines & planes
  • RREF
  • Matrices & inverses
  • Span & bases
  • Subspaces & rank
  • Transformations
  • Determinants
  • Eigenvalues
  • Diagonalization
  • Gram–Schmidt
  • Least squares
Study notes Read online Notes (PDF) Download for offline or print Practice solutions (PDF) Worked answers to every practice problem

Physics

Step-by-step notes that explain each idea from the ground up, then work the examples in full.

Physics I & II

First year 24 sections

Twenty-four chapters over two semesters. Semester 1 covers mechanics, waves and thermal physics; semester 2 covers electricity, magnetism, optics and modern physics. Each chapter explains the ideas from the ground up, works examples in full and ends with practice problems, with a full solutions set for every chapter.

  • Units & vectors
  • Kinematics
  • Newton's laws
  • Work & energy
  • Momentum
  • Rotation
  • Gravitation
  • Oscillations
  • Fluids
  • Waves & sound
  • Thermodynamics
  • Electric fields
  • Gauss's law
  • Potential & capacitance
  • DC circuits
  • Magnetism
  • Induction
  • AC & EM waves
  • Optics
  • Modern physics
Course notes Read online, with per-chapter PDFs and solutions Syllabus Course outline and how to study References Textbooks and further reading