Lecture notes
Math
University

Linear Algebra Lecture Notes

University lecture notes on eigenvalues: numbered definitions, lemmas and proofs, matrices, cross-referenced equations, a glossary and an appendix.

What is already in this template

  • A ready-made cover page
  • 4 pre-titled sections
  • 2 question blocks
  • 1 tables
  • 31 formulas already typeset
  • Theorem and proof blocks
  • Worked solutions in their own block

Using and adapting it

Lecture notes are not a lesson plan: they serve you while you are standing up teaching. Keep the prose short, let formulas and figures be bigger than the text, and leave a margin for what you add after the class. Because this is the same document that can be presented, you can write it once and both print it to hold and project it on the board, instead of maintaining two copies that drift apart.

Common questions

How are lecture notes different from a lesson plan?
A plan is what you hand in; notes are what you hold while teaching. Keep the prose short, let formulas and figures be bigger than the text, and leave a margin for what you add afterwards.
Can one document be both printed and projected?
Yes — switch to present mode and each heading becomes a slide. Write once instead of maintaining two copies that drift.
Do I need to know LaTeX to use this template?
No. You edit it like an ordinary document — type, drag blocks, insert formulas from a visual keyboard. LaTeX only runs underneath to set the page, and you can still export the source if you want it.

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