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Preface How to use these notes

These notes are lectures notes for MATH 215. They are structured to accompany the lectures offered at the University of Alberta.

Each 50 minute lecture in the course corresponds to a subsection in the notes (except for Subsection 6.5 which is a summary section). Further, each subsection is structured as follows:

  • A brief summary of the content of the subsection;

  • The learning objectives of the subsection;

  • The course notes for the topic of the subsection, with worked out examples;

  • Exercises (with full solutions) on the topic of the subsection.

These notes are meant to be supplemented with the in-class notes annotated during the lectures, which are numbered to match the section numbers in these notes. The in-class notes will be posted on eClass. In particular, these notes do not include many figures -- these will be provided in the accompanying in-class notes. More figures will be added to these notes in the future.

Please do not hesitate to let me know if you have comments or find typos/mistakes at vincent.bouchard@ualberta.ca.

Let us now delve into the beauty and depth of vector calculus!